首页 > 最新文献

International Journal of Numerical Methods for Heat & Fluid Flow最新文献

英文 中文
Numerical and experimental investigation of silo vibration of sulfur storage 硫磺储存仓振动的数值和实验研究
IF 4.2 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-08-30 DOI: 10.1108/hff-06-2024-0444
A. Gholami, S. F. Hosseini, Kamel Milani Shirvan, Sadiq M. Sait, R. Ellahi

Purpose

Due to the abundant use of granular materials in chemical industries, it is inevitable to store raw materials and products in bulk in silos. For this reason, much research has been carried out in the field of construction, operation and maintenance of silos. One of the important issues that must be investigated in silos is the behavior of their structure when the materials inside them are unloaded. Structural vibrations and the creation of normal noise usually discharge the granular of material from the silo. Both of phenomena are undesirable due to the problems they can cause to the structure and its surroundings. According to the said issues, this paper aims to investigate the vibration problem of the sulfur storage silo of the first refinery during discharge with the help of measuring experimental vibration data and simulating the silo model.

Design/methodology/approach

In the experimental investigation, the main cause of the vibration of the 400-ton silo in the refinery is used. The mass asymmetry phenomenon when the silo is filled is also considered. The experimental results are authenticated by software analysis too.

Findings

The results showed that the natural frequency of the ninth mode is almost equal to the natural frequency of sulfur discharge from the silos and has the largest shape change in the structure and vibration range. It is also concluded that the larger sulfur silo (400 tons) should be prioritized over the smaller sulfur silo (200 tons) in the emptying program, and the 400 tons silo should never be emptied even through the 200 tons silo is empty.

Originality/value

An attempt is made to investigate the issue of vibration in sulfur storage silos in the first refinery of South Pars in the form of experimental investigation and modal analysis.

目的由于化工行业大量使用颗粒状材料,因此不可避免地要用筒仓储存散装原料和产品。因此,人们对筒仓的建造、运行和维护进行了大量研究。筒仓必须研究的一个重要问题是筒仓内物料卸载时的结构行为。结构振动和正常噪音通常会将颗粒状材料从筒仓中卸下。这两种现象都是不可取的,因为它们会对结构及其周围环境造成问题。根据上述问题,本文旨在通过测量实验振动数据和模拟筒仓模型,研究第一炼油厂硫磺储存筒仓在卸料过程中的振动问题。同时还考虑了筒仓填充时的质量不对称现象。结果表明,第九模态的固有频率几乎等于筒仓排硫的固有频率,并且在结构和振动范围内具有最大的形状变化。还得出结论,在清空计划中,较大的硫磺筒仓(400 吨)应优先于较小的硫磺筒仓(200 吨),即使 200 吨的筒仓已空,也不应清空 400 吨的筒仓。
{"title":"Numerical and experimental investigation of silo vibration of sulfur storage","authors":"A. Gholami, S. F. Hosseini, Kamel Milani Shirvan, Sadiq M. Sait, R. Ellahi","doi":"10.1108/hff-06-2024-0444","DOIUrl":"https://doi.org/10.1108/hff-06-2024-0444","url":null,"abstract":"<h3>Purpose</h3>\u0000<p>Due to the abundant use of granular materials in chemical industries, it is inevitable to store raw materials and products in bulk in silos. For this reason, much research has been carried out in the field of construction, operation and maintenance of silos. One of the important issues that must be investigated in silos is the behavior of their structure when the materials inside them are unloaded. Structural vibrations and the creation of normal noise usually discharge the granular of material from the silo. Both of phenomena are undesirable due to the problems they can cause to the structure and its surroundings. According to the said issues, this paper aims to investigate the vibration problem of the sulfur storage silo of the first refinery during discharge with the help of measuring experimental vibration data and simulating the silo model.</p><!--/ Abstract__block -->\u0000<h3>Design/methodology/approach</h3>\u0000<p>In the experimental investigation, the main cause of the vibration of the 400-ton silo in the refinery is used. The mass asymmetry phenomenon when the silo is filled is also considered. The experimental results are authenticated by software analysis too.</p><!--/ Abstract__block -->\u0000<h3>Findings</h3>\u0000<p>The results showed that the natural frequency of the ninth mode is almost equal to the natural frequency of sulfur discharge from the silos and has the largest shape change in the structure and vibration range. It is also concluded that the larger sulfur silo (400 tons) should be prioritized over the smaller sulfur silo (200 tons) in the emptying program, and the 400 tons silo should never be emptied even through the 200 tons silo is empty.</p><!--/ Abstract__block -->\u0000<h3>Originality/value</h3>\u0000<p>An attempt is made to investigate the issue of vibration in sulfur storage silos in the first refinery of South Pars in the form of experimental investigation and modal analysis.</p><!--/ Abstract__block -->","PeriodicalId":14263,"journal":{"name":"International Journal of Numerical Methods for Heat & Fluid Flow","volume":"8 1","pages":""},"PeriodicalIF":4.2,"publicationDate":"2024-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142100980","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
An integrated numerical and analytical investigation on cilia-generated MHD flow of Jeffrey fluid through a porous medium 杰弗里流体通过多孔介质时纤毛产生的 MHD 流动的综合数值和分析研究
IF 4.2 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-08-30 DOI: 10.1108/hff-04-2024-0280
A. Zeeshan, Hamza Javed, N. Shehzad, Sadiq M. Sait, R. Ellahi

Purpose

This study aims to examine the cilia-driven flow of magnetohydrodynamics (MHD) non-Newtonian fluid through a porous medium. The Jeffrey fluid model is taken into account. The fluid motion in a two-dimensional symmetric channel emphasizes the dominance of viscous properties over inertial properties in the context of long wavelength and low Reynolds number approximations.

Design/methodology/approach

An integrated numerical and analytic results are obtained by hybrid approach. A statistical method analysis of variance along with response surface methodology is used. Sensitivity analysis is used to validate the accuracy of nondimensional numbers.

Findings

The impact of various flow parameters is presented graphically and in numerical tables. It is noted that the velocity slip parameter is the most sensitive flow parameter in velocity and relaxation to retardation time ratio in temperature.

Originality/value

A model on cilia-generated flow of MHD non-Newtonian Jeffrey fluid is proposed.

目的 本研究旨在探讨磁流体力学(MHD)非牛顿流体在多孔介质中的纤毛驱动流动。研究考虑了 Jeffrey 流体模型。在长波长和低雷诺数近似情况下,二维对称通道中的流体运动强调了粘性特性对惯性特性的主导作用。使用了方差分析统计方法和响应面方法。研究结果以图形和数值表格的形式展示了各种流动参数的影响。研究指出,速度滑移参数是对速度最敏感的流动参数,而弛豫与迟滞时间比则是对温度最敏感的流动参数。
{"title":"An integrated numerical and analytical investigation on cilia-generated MHD flow of Jeffrey fluid through a porous medium","authors":"A. Zeeshan, Hamza Javed, N. Shehzad, Sadiq M. Sait, R. Ellahi","doi":"10.1108/hff-04-2024-0280","DOIUrl":"https://doi.org/10.1108/hff-04-2024-0280","url":null,"abstract":"<h3>Purpose</h3>\u0000<p>This study aims to examine the cilia-driven flow of magnetohydrodynamics (MHD) non-Newtonian fluid through a porous medium. The Jeffrey fluid model is taken into account. The fluid motion in a two-dimensional symmetric channel emphasizes the dominance of viscous properties over inertial properties in the context of long wavelength and low Reynolds number approximations.</p><!--/ Abstract__block -->\u0000<h3>Design/methodology/approach</h3>\u0000<p>An integrated numerical and analytic results are obtained by hybrid approach. A statistical method analysis of variance along with response surface methodology is used. Sensitivity analysis is used to validate the accuracy of nondimensional numbers.</p><!--/ Abstract__block -->\u0000<h3>Findings</h3>\u0000<p>The impact of various flow parameters is presented graphically and in numerical tables. It is noted that the velocity slip parameter is the most sensitive flow parameter in velocity and relaxation to retardation time ratio in temperature.</p><!--/ Abstract__block -->\u0000<h3>Originality/value</h3>\u0000<p>A model on cilia-generated flow of MHD non-Newtonian Jeffrey fluid is proposed.</p><!--/ Abstract__block -->","PeriodicalId":14263,"journal":{"name":"International Journal of Numerical Methods for Heat & Fluid Flow","volume":"146 1","pages":""},"PeriodicalIF":4.2,"publicationDate":"2024-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142100981","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Research on aerodynamic characteristics of the pantograph on double-stack high container transportation lines 双层高集装箱运输线路受电弓空气动力特性研究
IF 4.2 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-08-28 DOI: 10.1108/hff-05-2024-0355
Yuhan Li, Qun Luo, Shiyu Zhao, Wenyan Qi, Zhong Huang, Guiming Mei

Purpose

The purpose of this paper is to study the aerodynamic characteristics and uplift force tendencies of pantographs within the operational height span of 1,600–2,980 mm, aiming to offer valuable insights for research concerning the adaptability of pantograph-catenary systems on double-stack high container transportation lines.

Design/methodology/approach

Eight pantograph models were formulated based on lines with the contact wire of 6,680 mm in height. The aerodynamic calculations were carried out using the SST k-ω separated vortex model. A more improved aerodynamic uplift force method was also presented. The change rule of the aerodynamic uplift force under different working heights of the pantograph was analyzed according to the transfer coefficients of the aerodynamic forces and moments.

Findings

The results show that the absolute values of the aerodynamic forces and moments of the upper and lower frame increase with the working height, whereas those of the collector head do not change. The absolute values of the transfer coefficients of the lower frame and link arm were significantly larger than those of the upper frame. Therefore, the absolute value of the aerodynamic uplift force increased and then decreased with the working height. The maximum value occurred at a working height of 2,400 mm.

Originality/value

A new method for calculating the aerodynamic uplift force of pantographs is proposed. The specifical change rule of the aerodynamic uplift force of the pantograph on double-stack high container transportation lines was determined from the perspective of the transfer coefficients of the aerodynamic forces and moments.

本文旨在研究受电弓在 1,600-2,980 mm 运行高度跨度内的气动特性和上浮力趋势,旨在为研究受电弓-集电弓系统在双层高集装箱运输线路上的适应性提供有价值的见解。使用 SST k-ω 分离涡模型进行了空气动力学计算。此外,还提出了一种经过改进的空气动力上升力方法。根据气动力和力矩的传递系数,分析了受电弓不同工作高度下气动力升力的变化规律。结果表明,上下框架的气动力和力矩的绝对值随着工作高度的增加而增加,而集电头的气动力和力矩的绝对值没有变化。下框架和连接臂的传递系数绝对值明显大于上框架。因此,空气动力升力的绝对值随着工作高度的增加而增加,然后减少。最大值出现在工作高度为 2,400 mm 时。从空气动力和力矩传递系数的角度确定了双层高集装箱运输线路上受电弓空气动力升力的具体变化规律。
{"title":"Research on aerodynamic characteristics of the pantograph on double-stack high container transportation lines","authors":"Yuhan Li, Qun Luo, Shiyu Zhao, Wenyan Qi, Zhong Huang, Guiming Mei","doi":"10.1108/hff-05-2024-0355","DOIUrl":"https://doi.org/10.1108/hff-05-2024-0355","url":null,"abstract":"<h3>Purpose</h3>\u0000<p>The purpose of this paper is to study the aerodynamic characteristics and uplift force tendencies of pantographs within the operational height span of 1,600–2,980 mm, aiming to offer valuable insights for research concerning the adaptability of pantograph-catenary systems on double-stack high container transportation lines.</p><!--/ Abstract__block -->\u0000<h3>Design/methodology/approach</h3>\u0000<p>Eight pantograph models were formulated based on lines with the contact wire of 6,680 mm in height. The aerodynamic calculations were carried out using the SST <em>k-ω</em> separated vortex model. A more improved aerodynamic uplift force method was also presented. The change rule of the aerodynamic uplift force under different working heights of the pantograph was analyzed according to the transfer coefficients of the aerodynamic forces and moments.</p><!--/ Abstract__block -->\u0000<h3>Findings</h3>\u0000<p>The results show that the absolute values of the aerodynamic forces and moments of the upper and lower frame increase with the working height, whereas those of the collector head do not change. The absolute values of the transfer coefficients of the lower frame and link arm were significantly larger than those of the upper frame. Therefore, the absolute value of the aerodynamic uplift force increased and then decreased with the working height. The maximum value occurred at a working height of 2,400 mm.</p><!--/ Abstract__block -->\u0000<h3>Originality/value</h3>\u0000<p>A new method for calculating the aerodynamic uplift force of pantographs is proposed. The specifical change rule of the aerodynamic uplift force of the pantograph on double-stack high container transportation lines was determined from the perspective of the transfer coefficients of the aerodynamic forces and moments.</p><!--/ Abstract__block -->","PeriodicalId":14263,"journal":{"name":"International Journal of Numerical Methods for Heat & Fluid Flow","volume":"98 1","pages":""},"PeriodicalIF":4.2,"publicationDate":"2024-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142084872","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Entropy optimization in multigrade motor oil based nanofluid: a spectral and sensitivity analysis with particle shape and dispersion effects 基于多级机油的纳米流体中的熵优化:具有颗粒形状和分散效应的光谱和敏感性分析
IF 4.2 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-08-27 DOI: 10.1108/hff-05-2024-0395
RamReddy Chetteti, Sweta  , Pranitha Janapatla

Purpose

This study aims to enhance heat transfer efficiency while minimizing friction factor and entropy generation in the flow of Nickel zinc ferrite (NiZnFe2O4) nanoparticles suspended in multigrade 20W-40 motor oil (as specified by the Society of Automotive Engineers). The investigation focuses on the effects of the melting process, nonspherical particle shapes, thermal dispersion and viscous dissipation on the nanofluid flow.

Design/methodology/approach

The fundamental governing equations are transformed into a set of similarity equations using Lie group transformations. The resulting set of equations is numerically solved using the spectral local linearization method. Additionally, sensitivity analysis using response surface methodology (RSM) is conducted to evaluate the influence of key parameters on response function.

Findings

Higher dispersion reduces entropy production. Needle-shaped particles significantly enhance heat transfer by 27.65% with melting and reduce entropy generation by 45.32%. Increasing the Darcy number results in a reduction of friction by 16.06%, lower entropy by 31.72% and an increase in heat transfer by 17.26%. The Nusselt number is highly sensitive to thermal dispersion across melting and varying volume fraction parameters.

Originality/value

This study addresses a significant research gap by exploring the combined effects of melting, particle shapes and thermal dispersion on nanofluid flow, which has not been thoroughly investigated before. The focus on practical applications such as fuel cells, material processing, biomedicine and various cooling systems underscores its relevance to sectors such as nuclear reactors, tumor treatments and manufacturing. The incorporation of RSM for friction factor analysis introduces a unique dimension to the research, offering novel insights into optimizing nanofluid performance under diverse conditions.

目的 本研究旨在提高镍锌铁氧体(NiZnFe2O4)纳米粒子悬浮在多级 20W-40 机油(由美国汽车工程师协会规定)中流动时的传热效率,同时最大限度地降低摩擦因数和熵的产生。研究重点是熔化过程、非球形颗粒形状、热扩散和粘性耗散对纳米流体流动的影响。利用谱局部线性化方法对得到的方程组进行数值求解。此外,还利用响应面方法(RSM)进行了敏感性分析,以评估关键参数对响应函数的影响。针形颗粒在熔化过程中能明显提高 27.65% 的传热效率,并减少 45.32% 的熵产生。提高达西数可减少 16.06% 的摩擦,降低 31.72% 的熵,增加 17.26% 的传热。努塞尔特数对熔化过程中的热扩散和不同的体积分数参数高度敏感。 本研究通过探索熔化、颗粒形状和热扩散对纳米流体流动的综合影响,填补了一项重要的研究空白。该研究重点关注燃料电池、材料加工、生物医学和各种冷却系统等实际应用,强调了它与核反应堆、肿瘤治疗和制造业等领域的相关性。将 RSM 用于摩擦因数分析为研究引入了一个独特的维度,为优化纳米流体在各种条件下的性能提供了新的见解。
{"title":"Entropy optimization in multigrade motor oil based nanofluid: a spectral and sensitivity analysis with particle shape and dispersion effects","authors":"RamReddy Chetteti, Sweta  , Pranitha Janapatla","doi":"10.1108/hff-05-2024-0395","DOIUrl":"https://doi.org/10.1108/hff-05-2024-0395","url":null,"abstract":"<h3>Purpose</h3>\u0000<p>This study aims to enhance heat transfer efficiency while minimizing friction factor and entropy generation in the flow of Nickel zinc ferrite (NiZnFe<sub>2</sub>O<sub>4</sub>) nanoparticles suspended in multigrade 20W-40 motor oil (as specified by the Society of Automotive Engineers). The investigation focuses on the effects of the melting process, nonspherical particle shapes, thermal dispersion and viscous dissipation on the nanofluid flow.</p><!--/ Abstract__block -->\u0000<h3>Design/methodology/approach</h3>\u0000<p>The fundamental governing equations are transformed into a set of similarity equations using Lie group transformations. The resulting set of equations is numerically solved using the spectral local linearization method. Additionally, sensitivity analysis using response surface methodology (RSM) is conducted to evaluate the influence of key parameters on response function.</p><!--/ Abstract__block -->\u0000<h3>Findings</h3>\u0000<p>Higher dispersion reduces entropy production. Needle-shaped particles significantly enhance heat transfer by 27.65% with melting and reduce entropy generation by 45.32%. Increasing the Darcy number results in a reduction of friction by 16.06%, lower entropy by 31.72% and an increase in heat transfer by 17.26%. The Nusselt number is highly sensitive to thermal dispersion across melting and varying volume fraction parameters.</p><!--/ Abstract__block -->\u0000<h3>Originality/value</h3>\u0000<p>This study addresses a significant research gap by exploring the combined effects of melting, particle shapes and thermal dispersion on nanofluid flow, which has not been thoroughly investigated before. The focus on practical applications such as fuel cells, material processing, biomedicine and various cooling systems underscores its relevance to sectors such as nuclear reactors, tumor treatments and manufacturing. The incorporation of RSM for friction factor analysis introduces a unique dimension to the research, offering novel insights into optimizing nanofluid performance under diverse conditions.</p><!--/ Abstract__block -->","PeriodicalId":14263,"journal":{"name":"International Journal of Numerical Methods for Heat & Fluid Flow","volume":"6 1","pages":""},"PeriodicalIF":4.2,"publicationDate":"2024-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142084873","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Novel airfoil for improved supersonic aerodynamic performance 改善超音速气动性能的新型机翼
IF 4.2 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-08-26 DOI: 10.1108/hff-06-2024-0433
Zeyad M. Manaa, Naef A.A. Qasem

Purpose

This study aims to validate the linear flow theory with computational fluid dynamics (CFD) simulations and to propose a novel shape for the airfoil that will improve supersonic aerodynamic performance compared to the National Advisory Committee for Aeronautics (NACA) 64a210 airfoil.

Design/methodology/approach

To design the new airfoil shape, this study uses a convex optimization approach to obtain a global optimal shape for an airfoil. First, modeling is conducted using linear flow theory, and then numerical verification is done by CFD simulations using ANSYS Fluent. The optimization process ensures that the new airfoil maintains the same cross-sectional area and thickness as the NACA 64a210 airfoil. This study found that an efficient way to obtain the ideal airfoil shape is by using linear flow theory, and the numerical simulations supported the assumptions inherent in the linear flow theory.

Findings

This study’s findings show notable improvements (from 4% to 200%) in the aerodynamic performance of the airfoil, especially in the supersonic range, which points to the suggested airfoil as a potential option for several fighter aircraft. Under various supersonic conditions, the optimized airfoil exhibits improved lift-over-drag ratios, leading to improved flight performance and lower fuel consumption.

Research limitations/implications

This study was conducted mainly for supersonic flow, whereas the subsonic flow is tested for a Mach number of 0.7. This study would be extended for both subsonic and supersonic flights.

Practical implications

Convex optimization and linear flow theory are combined in this work to create an airfoil that performs better in supersonic conditions than the NACA 64a210. By closely matching the CFD results, the linear flow theory's robustness is confirmed. This means that the initial design phase no longer requires extensive CFD simulations, and the linear flow theory can be used quickly and efficiently to obtain optimal airfoil shapes.

Social implications

The proposed airfoil can be used in different fighter aircraft to enhance performance and reduce fuel consumption. Thus, lower carbon emission is expected.

Originality/value

The unique aspect of this work is how convex optimization and linear flow theory were combined to create an airfoil that performs better in supersonic conditions than the NACA 64a210. Comprehensive CFD simulations were used for validation, highlighting the optimization approach's strength and usefulness in aerospace engineering.

目的 本研究旨在通过计算流体动力学(CFD)模拟验证线性流理论,并提出一种新型机翼形状,与美国国家航空咨询委员会(NACA)64a210 机翼相比,该形状将提高超音速气动性能。首先,使用线性流理论进行建模,然后使用 ANSYS Fluent 进行 CFD 仿真,进行数值验证。优化过程确保新机翼保持与 NACA 64a210 机翼相同的横截面积和厚度。这项研究发现,获得理想翼面形状的有效方法是使用线性流理论,而数值模拟支持线性流理论的固有假设。研究结果这项研究结果表明,翼面的气动性能显著提高(从 4% 到 200%),尤其是在超音速范围内,这表明建议的翼面有可能成为几种战斗机的选择。在各种超音速条件下,优化后的翼面显示出更好的升阻比,从而提高了飞行性能,降低了燃料消耗。本研究将扩展到亚音速和超音速飞行。实际意义本研究将凸优化和线性流动理论相结合,创造出一种在超音速条件下比 NACA 64a210 性能更好的机翼。通过密切匹配 CFD 结果,证实了线性流理论的稳健性。这意味着初始设计阶段不再需要大量的 CFD 仿真,而可以快速有效地利用线性流理论获得最佳翼型。原创性/价值这项工作的独特之处在于如何将凸优化和线性流理论相结合,创造出一种在超音速条件下比 NACA 64a210 性能更好的机翼。全面的 CFD 模拟用于验证,凸显了优化方法在航空航天工程中的优势和实用性。
{"title":"Novel airfoil for improved supersonic aerodynamic performance","authors":"Zeyad M. Manaa, Naef A.A. Qasem","doi":"10.1108/hff-06-2024-0433","DOIUrl":"https://doi.org/10.1108/hff-06-2024-0433","url":null,"abstract":"<h3>Purpose</h3>\u0000<p>This study aims to validate the linear flow theory with computational fluid dynamics (CFD) simulations and to propose a novel shape for the airfoil that will improve supersonic aerodynamic performance compared to the National Advisory Committee for Aeronautics (NACA) 64a210 airfoil.</p><!--/ Abstract__block -->\u0000<h3>Design/methodology/approach</h3>\u0000<p>To design the new airfoil shape, this study uses a convex optimization approach to obtain a global optimal shape for an airfoil. First, modeling is conducted using linear flow theory, and then numerical verification is done by CFD simulations using ANSYS Fluent. The optimization process ensures that the new airfoil maintains the same cross-sectional area and thickness as the NACA 64a210 airfoil. This study found that an efficient way to obtain the ideal airfoil shape is by using linear flow theory, and the numerical simulations supported the assumptions inherent in the linear flow theory.</p><!--/ Abstract__block -->\u0000<h3>Findings</h3>\u0000<p>This study’s findings show notable improvements (from 4% to 200%) in the aerodynamic performance of the airfoil, especially in the supersonic range, which points to the suggested airfoil as a potential option for several fighter aircraft. Under various supersonic conditions, the optimized airfoil exhibits improved lift-over-drag ratios, leading to improved flight performance and lower fuel consumption.</p><!--/ Abstract__block -->\u0000<h3>Research limitations/implications</h3>\u0000<p>This study was conducted mainly for supersonic flow, whereas the subsonic flow is tested for a Mach number of 0.7. This study would be extended for both subsonic and supersonic flights.</p><!--/ Abstract__block -->\u0000<h3>Practical implications</h3>\u0000<p>Convex optimization and linear flow theory are combined in this work to create an airfoil that performs better in supersonic conditions than the NACA 64a210. By closely matching the CFD results, the linear flow theory's robustness is confirmed. This means that the initial design phase no longer requires extensive CFD simulations, and the linear flow theory can be used quickly and efficiently to obtain optimal airfoil shapes.</p><!--/ Abstract__block -->\u0000<h3>Social implications</h3>\u0000<p>The proposed airfoil can be used in different fighter aircraft to enhance performance and reduce fuel consumption. Thus, lower carbon emission is expected.</p><!--/ Abstract__block -->\u0000<h3>Originality/value</h3>\u0000<p>The unique aspect of this work is how convex optimization and linear flow theory were combined to create an airfoil that performs better in supersonic conditions than the NACA 64a210. Comprehensive CFD simulations were used for validation, highlighting the optimization approach's strength and usefulness in aerospace engineering.</p><!--/ Abstract__block -->","PeriodicalId":14263,"journal":{"name":"International Journal of Numerical Methods for Heat & Fluid Flow","volume":"63 1","pages":""},"PeriodicalIF":4.2,"publicationDate":"2024-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142042430","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Application of roughness models to stationary and rotating minichannel flows 将粗糙度模型应用于静止和旋转小水道水流
IF 4.2 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-08-26 DOI: 10.1108/hff-05-2024-0379
Mohammadsadegh Pahlavanzadeh, Sebastian Rulik, Włodzimierz Wróblewski, Krzysztof Rusin

Purpose

The performance of a bladeless Tesla turbine is closely tied to momentum diffusion, kinetic energy transfer and wall shear stress generation on its rotating disks. The surface roughness adds complexity of flow analysis in such a domain. This paper aims to assess the effect of roughness on flow structures and the application of roughness models in flow cross sections with submillimeter height, including both stationary and rotating walls.

Design/methodology/approach

This research starts with the examination of flow over a rough flat plate, and then proceeds to study flow within minichannels, evaluating the effect of roughness on flow characteristics. An in-house test stand validates the numerical solutions of minichannel. Finally, flow through the minichannel with corotating walls was analyzed. The k-ω SST turbulent model and Aupoix's roughness method are used for numerical simulations.

Findings

The findings emphasize the necessity of considering the constricted dimensions of the flow cross section, thereby improving the alignment of derived results with theoretical estimations. Moreover, this study explores the effects of roughness on flow characteristics within the minichannel with stationary and rotating walls, offering valuable insights into this intricate phenomenon, and depicts the appropriate performance of chosen roughness model in studied cases.

Originality/value

The originality of this investigation is the assessment and validation of flow characteristics inside minichannel with stationary and corotating walls when the roughness is implemented. This phenomenon, along with the effect of roughness on the transportation of kinetic energy to the rough surface of a minichannel in an in-house test setup, is assessed.

目的无叶片特斯拉涡轮机的性能与其旋转盘上的动量扩散、动能传递和壁面剪应力的产生密切相关。表面粗糙度增加了在此领域进行流动分析的复杂性。本文旨在评估粗糙度对流动结构的影响,以及粗糙度模型在亚毫米高度流动截面中的应用,包括静止壁和旋转壁。内部试验台验证了微型通道的数值解法。最后,分析了流经带拐弯壁的微型通道的流动。研究结果强调了考虑流动横截面收缩尺寸的必要性,从而提高了推导结果与理论估算的一致性。此外,本研究还探讨了粗糙度对具有静止和旋转壁的微型通道内流动特性的影响,为这一复杂现象提供了宝贵的见解,并描述了所选粗糙度模型在研究案例中的适当性能。在内部测试装置中,对这一现象以及粗糙度对动能输送到微型通道粗糙表面的影响进行了评估。
{"title":"Application of roughness models to stationary and rotating minichannel flows","authors":"Mohammadsadegh Pahlavanzadeh, Sebastian Rulik, Włodzimierz Wróblewski, Krzysztof Rusin","doi":"10.1108/hff-05-2024-0379","DOIUrl":"https://doi.org/10.1108/hff-05-2024-0379","url":null,"abstract":"<h3>Purpose</h3>\u0000<p>The performance of a bladeless Tesla turbine is closely tied to momentum diffusion, kinetic energy transfer and wall shear stress generation on its rotating disks. The surface roughness adds complexity of flow analysis in such a domain. This paper aims to assess the effect of roughness on flow structures and the application of roughness models in flow cross sections with submillimeter height, including both stationary and rotating walls.</p><!--/ Abstract__block -->\u0000<h3>Design/methodology/approach</h3>\u0000<p>This research starts with the examination of flow over a rough flat plate, and then proceeds to study flow within minichannels, evaluating the effect of roughness on flow characteristics. An in-house test stand validates the numerical solutions of minichannel. Finally, flow through the minichannel with corotating walls was analyzed. The <em>k</em>-<em>ω</em> SST turbulent model and Aupoix's roughness method are used for numerical simulations.</p><!--/ Abstract__block -->\u0000<h3>Findings</h3>\u0000<p>The findings emphasize the necessity of considering the constricted dimensions of the flow cross section, thereby improving the alignment of derived results with theoretical estimations. Moreover, this study explores the effects of roughness on flow characteristics within the minichannel with stationary and rotating walls, offering valuable insights into this intricate phenomenon, and depicts the appropriate performance of chosen roughness model in studied cases.</p><!--/ Abstract__block -->\u0000<h3>Originality/value</h3>\u0000<p>The originality of this investigation is the assessment and validation of flow characteristics inside minichannel with stationary and corotating walls when the roughness is implemented. This phenomenon, along with the effect of roughness on the transportation of kinetic energy to the rough surface of a minichannel in an in-house test setup, is assessed.</p><!--/ Abstract__block -->","PeriodicalId":14263,"journal":{"name":"International Journal of Numerical Methods for Heat & Fluid Flow","volume":"4 1","pages":""},"PeriodicalIF":4.2,"publicationDate":"2024-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142042401","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Reinforcement learning for cooling rate control during quenching 淬火过程中冷却速率控制的强化学习
IF 4.2 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-08-26 DOI: 10.1108/hff-11-2023-0713
Elie Hachem, Abhijeet Vishwasrao, Maxime Renault, Jonathan Viquerat, P. Meliga

Purpose

The premise of this research is that the coupling of reinforcement learning algorithms and computational dynamics can be used to design efficient control strategies and to improve the cooling of hot components by quenching, a process that is classically carried out based on professional experience and trial-error methods. Feasibility and relevance are assessed on various 2-D numerical experiments involving boiling problems simulated by a phase change model. The purpose of this study is then to integrate reinforcement learning with boiling modeling involving phase change to optimize the cooling process during quenching.

Design/methodology/approach

The proposed approach couples two state-of-the-art in-house models: a single-step proximal policy optimization (PPO) deep reinforcement learning (DRL) algorithm (for data-driven selection of control parameters) and an in-house stabilized finite elements environment combining variational multi-scale (VMS) modeling of the governing equations, immerse volume method and multi-component anisotropic mesh adaptation (to compute the numerical reward used by the DRL agent to learn), that simulates boiling after a phase change model formulated after pseudo-compressible Navier–Stokes and heat equations.

Findings

Relevance of the proposed methodology is illustrated by controlling natural convection in a closed cavity with aspect ratio 4:1, for which DRL alleviates the flow-induced enhancement of heat transfer by approximately 20%. Regarding quenching applications, the DRL algorithm finds optimal insertion angles that adequately homogenize the temperature distribution in both simple and complex 2-D workpiece geometries, and improve over simpler trial-and-error strategies classically used in the quenching industry.

Originality/value

To the best of the authors’ knowledge, this constitutes the first attempt to achieve DRL-based control of complex heat and mass transfer processes involving boiling. The obtained results have important implications for the quenching cooling flows widely used to achieve the desired microstructure and material properties of steel, and for which differential cooling in various zones of the quenched component will yield irregular residual stresses that can affect the serviceability of critical machinery in sensitive industries.

目的 本研究的前提是,强化学习算法与计算动力学的耦合可用于设计高效的控制策略,并通过淬火改进热部件的冷却,而淬火过程通常是基于专业经验和试错方法进行的。通过相变模型模拟沸腾问题的各种二维数值实验,对其可行性和相关性进行了评估。本研究的目的是将强化学习与涉及相变的沸腾模型相结合,以优化淬火过程中的冷却过程。设计/方法/途径所提出的方法结合了两种最先进的内部模型:单步近端策略优化(PPO)深度强化学习(DRL)算法(用于数据驱动的控制参数选择)和内部稳定有限元环境,结合了管理方程的变分多尺度(VMS)建模、浸没体积法和多组分各向异性网格适应(用于计算 DRL 代理学习所使用的数值奖励),模拟了根据伪可压缩 Navier-Stokes 和热方程制定的相变模型后的沸腾。研究结果通过控制长宽比为 4:1 的封闭空腔中的自然对流,说明了所提方法的相关性。在淬火应用方面,DRL 算法找到了最佳插入角,可充分均匀简单和复杂的二维工件几何形状中的温度分布,并改进了淬火行业通常使用的简单试错策略。所获得的结果对广泛用于实现钢材所需微观结构和材料性能的淬火冷却流具有重要意义,因为淬火部件不同区域的冷却差异会产生不规则的残余应力,从而影响敏感行业关键设备的适用性。
{"title":"Reinforcement learning for cooling rate control during quenching","authors":"Elie Hachem, Abhijeet Vishwasrao, Maxime Renault, Jonathan Viquerat, P. Meliga","doi":"10.1108/hff-11-2023-0713","DOIUrl":"https://doi.org/10.1108/hff-11-2023-0713","url":null,"abstract":"<h3>Purpose</h3>\u0000<p>The premise of this research is that the coupling of reinforcement learning algorithms and computational dynamics can be used to design efficient control strategies and to improve the cooling of hot components by quenching, a process that is classically carried out based on professional experience and trial-error methods. Feasibility and relevance are assessed on various 2-D numerical experiments involving boiling problems simulated by a phase change model. The purpose of this study is then to integrate reinforcement learning with boiling modeling involving phase change to optimize the cooling process during quenching.</p><!--/ Abstract__block -->\u0000<h3>Design/methodology/approach</h3>\u0000<p>The proposed approach couples two state-of-the-art in-house models: a single-step proximal policy optimization (PPO) deep reinforcement learning (DRL) algorithm (for data-driven selection of control parameters) and an in-house stabilized finite elements environment combining variational multi-scale (VMS) modeling of the governing equations, immerse volume method and multi-component anisotropic mesh adaptation (to compute the numerical reward used by the DRL agent to learn), that simulates boiling after a phase change model formulated after pseudo-compressible Navier–Stokes and heat equations.</p><!--/ Abstract__block -->\u0000<h3>Findings</h3>\u0000<p>Relevance of the proposed methodology is illustrated by controlling natural convection in a closed cavity with aspect ratio 4:1, for which DRL alleviates the flow-induced enhancement of heat transfer by approximately 20%. Regarding quenching applications, the DRL algorithm finds optimal insertion angles that adequately homogenize the temperature distribution in both simple and complex 2-D workpiece geometries, and improve over simpler trial-and-error strategies classically used in the quenching industry.</p><!--/ Abstract__block -->\u0000<h3>Originality/value</h3>\u0000<p>To the best of the authors’ knowledge, this constitutes the first attempt to achieve DRL-based control of complex heat and mass transfer processes involving boiling. The obtained results have important implications for the quenching cooling flows widely used to achieve the desired microstructure and material properties of steel, and for which differential cooling in various zones of the quenched component will yield irregular residual stresses that can affect the serviceability of critical machinery in sensitive industries.</p><!--/ Abstract__block -->","PeriodicalId":14263,"journal":{"name":"International Journal of Numerical Methods for Heat & Fluid Flow","volume":"17 1","pages":""},"PeriodicalIF":4.2,"publicationDate":"2024-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142042428","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Data-driven wall modeling for LES involving non-equilibrium boundary layer effects 涉及非平衡边界层效应的 LES 数据驱动壁面建模
IF 4.2 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-08-26 DOI: 10.1108/hff-11-2023-0710
Sarath Radhakrishnan, Joan Calafell, Arnau Miró, Bernat Font, Oriol Lehmkuhl

Purpose

Wall-modeled large eddy simulation (LES) is a practical tool for solving wall-bounded flows with less computational cost by avoiding the explicit resolution of the near-wall region. However, its use is limited in flows that have high non-equilibrium effects like separation or transition. This study aims to present a novel methodology of using high-fidelity data and machine learning (ML) techniques to capture these non-equilibrium effects.

Design/methodology/approach

A precursor to this methodology has already been tested in Radhakrishnan et al. (2021) for equilibrium flows using LES of channel flow data. In the current methodology, the high-fidelity data chosen for training includes direct numerical simulation of a double diffuser that has strong non-equilibrium flow regions, and LES of a channel flow. The ultimate purpose of the model is to distinguish between equilibrium and non-equilibrium regions, and to provide the appropriate wall shear stress. The ML system used for this study is gradient-boosted regression trees.

Findings

The authors show that the model can be trained to make accurate predictions for both equilibrium and non-equilibrium boundary layers. In example, the authors find that the model is very effective for corner flows and flows that involve relaminarization, while performing rather ineffectively at recirculation regions.

Originality/value

Data from relaminarization regions help the model to better understand such phenomenon and to provide an appropriate boundary condition based on that. This motivates the authors to continue the research in this direction by adding more non-equilibrium phenomena to the training data to capture recirculation as well.

目的壁面建模大涡度模拟(LES)是一种实用工具,可避免对近壁区域进行显式解析,从而以较低的计算成本解决壁面流动问题。然而,它在分离或过渡等非平衡效应较强的流动中的应用受到限制。本研究旨在提出一种使用高保真数据和机器学习(ML)技术来捕捉这些非平衡效应的新方法。设计/方法/途径Radhakrishnan 等人(2021 年)已经使用通道流数据的 LES 对平衡流进行了测试。在目前的方法中,选择用于训练的高保真数据包括对具有强烈非平衡流动区域的双扩散器的直接数值模拟,以及通道流的 LES。模型的最终目的是区分平衡和非平衡区域,并提供适当的壁面剪应力。本研究使用的 ML 系统是梯度增强回归树。研究结果作者表明,该模型经过训练后可对平衡和非平衡边界层进行准确预测。例如,作者发现该模型对角流和涉及再层流的流动非常有效,而在再循环区域则效果不佳。这促使作者继续朝这个方向研究,在训练数据中加入更多的非平衡现象,以捕捉再循环。
{"title":"Data-driven wall modeling for LES involving non-equilibrium boundary layer effects","authors":"Sarath Radhakrishnan, Joan Calafell, Arnau Miró, Bernat Font, Oriol Lehmkuhl","doi":"10.1108/hff-11-2023-0710","DOIUrl":"https://doi.org/10.1108/hff-11-2023-0710","url":null,"abstract":"<h3>Purpose</h3>\u0000<p>Wall-modeled large eddy simulation (LES) is a practical tool for solving wall-bounded flows with less computational cost by avoiding the explicit resolution of the near-wall region. However, its use is limited in flows that have high non-equilibrium effects like separation or transition. This study aims to present a novel methodology of using high-fidelity data and machine learning (ML) techniques to capture these non-equilibrium effects.</p><!--/ Abstract__block -->\u0000<h3>Design/methodology/approach</h3>\u0000<p>A precursor to this methodology has already been tested in Radhakrishnan <em>et al.</em> (2021) for equilibrium flows using LES of channel flow data. In the current methodology, the high-fidelity data chosen for training includes direct numerical simulation of a double diffuser that has strong non-equilibrium flow regions, and LES of a channel flow. The ultimate purpose of the model is to distinguish between equilibrium and non-equilibrium regions, and to provide the appropriate wall shear stress. The ML system used for this study is gradient-boosted regression trees.</p><!--/ Abstract__block -->\u0000<h3>Findings</h3>\u0000<p>The authors show that the model can be trained to make accurate predictions for both equilibrium and non-equilibrium boundary layers. In example, the authors find that the model is very effective for corner flows and flows that involve relaminarization, while performing rather ineffectively at recirculation regions.</p><!--/ Abstract__block -->\u0000<h3>Originality/value</h3>\u0000<p>Data from relaminarization regions help the model to better understand such phenomenon and to provide an appropriate boundary condition based on that. This motivates the authors to continue the research in this direction by adding more non-equilibrium phenomena to the training data to capture recirculation as well.</p><!--/ Abstract__block -->","PeriodicalId":14263,"journal":{"name":"International Journal of Numerical Methods for Heat & Fluid Flow","volume":"6 1","pages":""},"PeriodicalIF":4.2,"publicationDate":"2024-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142042429","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Heat transfer and entropy generation in viscous-joule heating MHD microchannels flow under asymmetric heating 非对称加热条件下粘焦耳加热 MHD 微通道流的传热和熵生成
IF 4.2 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-08-22 DOI: 10.1108/hff-05-2024-0380
Antar Tahiri, Haroun Ragueb, Mustafa Moussaoui, Kacem Mansouri, Djemaa Guerraiche, Khelifa Guerraiche

Purpose

This paper aims to present a numerical investigation into heat transfer and entropy generation resulting from magnetohydrodynamic laminar flow through a microchannel under asymmetric boundary conditions. Furthermore, the authors consider the effects of viscous dissipation and Joule heating.

Design/methodology/approach

The finite difference method is used to obtain the numerical solution. Simulations are conducted across a broad range of Hartmann (Ha = 0 ∼ 40) and Brinkman (Br = 0.01 ∼ 1) numbers, along with various asymmetric isothermal boundaries characterized by a heating ratio denoted as ϕ.

Findings

The findings indicate a significant increase in the Nusselt number with increasing Hartmann number, regardless of whether Br equals zero or not. In addition, it is demonstrated that temperature differences between the microchannel walls can lead to substantial distortions in fluid temperature distribution and heat transfer. The results reveal that the maximum entropy generation occurs at the highest values of Ha and η (a dimensionless parameter emerging from the formulation) obtained for ϕ = −1. Moreover, it is observed that local entropy generation rates are highest near the channel wall at the entrance region.

Originality/value

The study provides valuable insights into the complex interactions between magnetic fields, viscous dissipation and Joule heating in microchannel flows, particularly under asymmetric heating conditions. This contributes to a better understanding of heat transfer and entropy generation in advanced microfluidic systems, which is essential for optimizing their design and performance.

目的 本文旨在对非对称边界条件下通过微通道的磁流体层流所产生的热传递和熵生成进行数值研究。此外,作者还考虑了粘性耗散和焦耳加热的影响。在哈特曼数(Ha = 0 ∼ 40)和布林克曼数(Br = 0.01 ∼ 1)以及各种不对称等温边界(以加热比表示为 j)的广泛范围内进行了模拟。研究结果研究结果表明,随着哈特曼数的增加,无论布林克曼数是否等于零,努塞尔特数都会显著增加。此外,研究还表明,微通道壁之间的温度差会导致流体温度分布和热量传递发生严重扭曲。结果表明,在 ϕ = -1 时,Ha 和 η(公式中出现的无量纲参数)的最高值会产生最大熵。此外,还观察到入口区域通道壁附近的局部熵产生率最高。原创性/价值该研究为了解微通道流中磁场、粘性耗散和焦耳热之间复杂的相互作用提供了宝贵的见解,尤其是在非对称加热条件下。这有助于更好地理解先进微流控系统中的热传递和熵产生,这对优化其设计和性能至关重要。
{"title":"Heat transfer and entropy generation in viscous-joule heating MHD microchannels flow under asymmetric heating","authors":"Antar Tahiri, Haroun Ragueb, Mustafa Moussaoui, Kacem Mansouri, Djemaa Guerraiche, Khelifa Guerraiche","doi":"10.1108/hff-05-2024-0380","DOIUrl":"https://doi.org/10.1108/hff-05-2024-0380","url":null,"abstract":"<h3>Purpose</h3>\u0000<p>This paper aims to present a numerical investigation into heat transfer and entropy generation resulting from magnetohydrodynamic laminar flow through a microchannel under asymmetric boundary conditions. Furthermore, the authors consider the effects of viscous dissipation and Joule heating.</p><!--/ Abstract__block -->\u0000<h3>Design/methodology/approach</h3>\u0000<p>The finite difference method is used to obtain the numerical solution. Simulations are conducted across a broad range of Hartmann (<em>Ha</em> = 0 ∼ 40) and Brinkman (<em>Br</em> = 0.01 ∼ 1) numbers, along with various asymmetric isothermal boundaries characterized by a heating ratio denoted as <em>ϕ</em>.</p><!--/ Abstract__block -->\u0000<h3>Findings</h3>\u0000<p>The findings indicate a significant increase in the Nusselt number with increasing Hartmann number, regardless of whether <em>Br</em> equals zero or not. In addition, it is demonstrated that temperature differences between the microchannel walls can lead to substantial distortions in fluid temperature distribution and heat transfer. The results reveal that the maximum entropy generation occurs at the highest values of Ha and <em>η</em> (a dimensionless parameter emerging from the formulation) obtained for <em>ϕ</em> = −1. Moreover, it is observed that local entropy generation rates are highest near the channel wall at the entrance region.</p><!--/ Abstract__block -->\u0000<h3>Originality/value</h3>\u0000<p>The study provides valuable insights into the complex interactions between magnetic fields, viscous dissipation and Joule heating in microchannel flows, particularly under asymmetric heating conditions. This contributes to a better understanding of heat transfer and entropy generation in advanced microfluidic systems, which is essential for optimizing their design and performance.</p><!--/ Abstract__block -->","PeriodicalId":14263,"journal":{"name":"International Journal of Numerical Methods for Heat & Fluid Flow","volume":"30 1","pages":""},"PeriodicalIF":4.2,"publicationDate":"2024-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142042402","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Solution of the Poisson equation by the boundary integral method 用边界积分法求解泊松方程
IF 4.2 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-08-22 DOI: 10.1108/hff-04-2024-0251
Sandipan Kumar Das
<h3>Purpose</h3><p>The boundary integral method (BIM) is very attractive to practicing engineers as it reduces the dimensionality of the problem by one, thereby making the procedure computationally inexpensive compared to its peers. The principal feature of this technique is the limitation of all its computations to only the boundaries of the domain. Although the procedure is well developed for the Laplace equation, the Poisson equation offers some computational challenges. Nevertheless, the literature provides a couple of solution methods. This paper revisits an alternate approach that has not gained much traction within the community. The purpose of this paper is to address the main bottleneck of that approach in an effort to popularize it and critically evaluate the errors introduced into the solution by that method.</p><!--/ Abstract__block --><h3>Design/methodology/approach</h3><p>The primary intent in the paper is to work on the particular solution of the Poisson equation by representing the source term through a Fourier series. The evaluation of the Fourier coefficients requires a rectangular domain even though the original domain can be of any arbitrary shape. The boundary conditions for the homogeneous solution gets modified by the projection of the particular solution on the original boundaries. The paper also develops a new Gauss quadrature procedure to compute the integrals appearing in the Fourier coefficients in case they cannot be analytically evaluated.</p><!--/ Abstract__block --><h3>Findings</h3><p>The current endeavor has developed two different representations of the source terms. A comprehensive set of benchmark exercises has successfully demonstrated the effectiveness of both the methods, especially the second one. A subsequent detailed analysis has identified the errors emanating from an inadequate number of boundary nodes and Fourier modes, a high difference in sizes between the particular solution and the original domains and the used Gauss quadrature integration procedures. Adequate mitigation procedures were successful in suppressing each of the above errors and in improving the solution accuracy to any desired level. A comparative study with the finite difference method revealed that the BIM was as accurate as the FDM but was computationally more efficient for problems of real-life scale. A later exercise minutely analyzed the heat transfer physics for a fin after validating the simulation results with the analytical solution that was separately derived. The final set of simulations demonstrated the applicability of the method to complicated geometries.</p><!--/ Abstract__block --><h3>Originality/value</h3><p>First, the newly developed Gauss quadrature integration procedure can efficiently compute the integrals during evaluation of the Fourier coefficients; the current literature lacks such a tool, thereby deterring researchers to adopt this category of methods. Second, to the best of the author’s knowledge, suc
目的 边界积分法(BIM)对实际工程师非常有吸引力,因为它将问题的维数减少了一维,从而使程序的计算成本低于同类方法。该技术的主要特点是其所有计算仅限于域的边界。虽然该程序在拉普拉斯方程方面发展成熟,但在泊松方程方面却面临一些计算上的挑战。不过,文献中提供了一些求解方法。本文重新审视了一种在业界尚未获得广泛关注的替代方法。本文的目的是解决该方法的主要瓶颈,努力推广该方法,并对该方法在求解过程中引入的误差进行批判性评估。 设计/方法/途径 本文的主要意图是通过傅里叶级数来表示源项,从而解决泊松方程的特殊问题。傅里叶系数的计算需要一个矩形域,尽管原始域可以是任意形状。同质解的边界条件通过特定解在原始边界上的投影进行修改。本文还开发了一种新的高斯正交程序,用于计算傅里叶系数中出现的积分,以防无法对其进行分析评估。一套全面的基准练习成功证明了这两种方法的有效性,尤其是第二种方法。随后的详细分析确定了错误源于边界节点和傅立叶模式数量不足、特定解决方案和原始域之间的尺寸差异过大以及所使用的高斯正交积分过程。适当的缓解程序成功地抑制了上述误差,并将求解精度提高到所需水平。与有限差分法的比较研究表明,BIM 与有限差分法一样精确,但对于现实生活中的问题,BIM 的计算效率更高。在将模拟结果与单独得出的分析解决方案进行验证后,随后的练习对鳍片的传热物理学进行了细致分析。原创性/价值首先,新开发的高斯正交积分过程可以在评估傅里叶系数时高效计算积分;目前的文献缺乏这样的工具,因此阻碍了研究人员采用这类方法。其次,就作者所知,目前还没有文献对泊松方程 BIM 框架内的求解方法进行如此全面的误差分析。这项工作应能大大增强研究界的信心,使其大胆采用这类方法来求解泊松方程。
{"title":"Solution of the Poisson equation by the boundary integral method","authors":"Sandipan Kumar Das","doi":"10.1108/hff-04-2024-0251","DOIUrl":"https://doi.org/10.1108/hff-04-2024-0251","url":null,"abstract":"&lt;h3&gt;Purpose&lt;/h3&gt;\u0000&lt;p&gt;The boundary integral method (BIM) is very attractive to practicing engineers as it reduces the dimensionality of the problem by one, thereby making the procedure computationally inexpensive compared to its peers. The principal feature of this technique is the limitation of all its computations to only the boundaries of the domain. Although the procedure is well developed for the Laplace equation, the Poisson equation offers some computational challenges. Nevertheless, the literature provides a couple of solution methods. This paper revisits an alternate approach that has not gained much traction within the community. The purpose of this paper is to address the main bottleneck of that approach in an effort to popularize it and critically evaluate the errors introduced into the solution by that method.&lt;/p&gt;&lt;!--/ Abstract__block --&gt;\u0000&lt;h3&gt;Design/methodology/approach&lt;/h3&gt;\u0000&lt;p&gt;The primary intent in the paper is to work on the particular solution of the Poisson equation by representing the source term through a Fourier series. The evaluation of the Fourier coefficients requires a rectangular domain even though the original domain can be of any arbitrary shape. The boundary conditions for the homogeneous solution gets modified by the projection of the particular solution on the original boundaries. The paper also develops a new Gauss quadrature procedure to compute the integrals appearing in the Fourier coefficients in case they cannot be analytically evaluated.&lt;/p&gt;&lt;!--/ Abstract__block --&gt;\u0000&lt;h3&gt;Findings&lt;/h3&gt;\u0000&lt;p&gt;The current endeavor has developed two different representations of the source terms. A comprehensive set of benchmark exercises has successfully demonstrated the effectiveness of both the methods, especially the second one. A subsequent detailed analysis has identified the errors emanating from an inadequate number of boundary nodes and Fourier modes, a high difference in sizes between the particular solution and the original domains and the used Gauss quadrature integration procedures. Adequate mitigation procedures were successful in suppressing each of the above errors and in improving the solution accuracy to any desired level. A comparative study with the finite difference method revealed that the BIM was as accurate as the FDM but was computationally more efficient for problems of real-life scale. A later exercise minutely analyzed the heat transfer physics for a fin after validating the simulation results with the analytical solution that was separately derived. The final set of simulations demonstrated the applicability of the method to complicated geometries.&lt;/p&gt;&lt;!--/ Abstract__block --&gt;\u0000&lt;h3&gt;Originality/value&lt;/h3&gt;\u0000&lt;p&gt;First, the newly developed Gauss quadrature integration procedure can efficiently compute the integrals during evaluation of the Fourier coefficients; the current literature lacks such a tool, thereby deterring researchers to adopt this category of methods. Second, to the best of the author’s knowledge, suc","PeriodicalId":14263,"journal":{"name":"International Journal of Numerical Methods for Heat & Fluid Flow","volume":"49 1","pages":""},"PeriodicalIF":4.2,"publicationDate":"2024-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142007339","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
期刊
International Journal of Numerical Methods for Heat & Fluid Flow
全部 Acc. Chem. Res. ACS Applied Bio Materials ACS Appl. Electron. Mater. ACS Appl. Energy Mater. ACS Appl. Mater. Interfaces ACS Appl. Nano Mater. ACS Appl. Polym. Mater. ACS BIOMATER-SCI ENG ACS Catal. ACS Cent. Sci. ACS Chem. Biol. ACS Chemical Health & Safety ACS Chem. Neurosci. ACS Comb. Sci. ACS Earth Space Chem. ACS Energy Lett. ACS Infect. Dis. ACS Macro Lett. ACS Mater. Lett. ACS Med. Chem. Lett. ACS Nano ACS Omega ACS Photonics ACS Sens. ACS Sustainable Chem. Eng. ACS Synth. Biol. Anal. Chem. BIOCHEMISTRY-US Bioconjugate Chem. BIOMACROMOLECULES Chem. Res. Toxicol. Chem. Rev. Chem. Mater. CRYST GROWTH DES ENERG FUEL Environ. Sci. Technol. Environ. Sci. Technol. Lett. Eur. J. Inorg. Chem. IND ENG CHEM RES Inorg. Chem. J. Agric. Food. Chem. J. Chem. Eng. Data J. Chem. Educ. J. Chem. Inf. Model. J. Chem. Theory Comput. J. Med. Chem. J. Nat. Prod. J PROTEOME RES J. Am. Chem. Soc. LANGMUIR MACROMOLECULES Mol. Pharmaceutics Nano Lett. Org. Lett. ORG PROCESS RES DEV ORGANOMETALLICS J. Org. Chem. J. Phys. Chem. J. Phys. Chem. A J. Phys. Chem. B J. Phys. Chem. C J. Phys. Chem. Lett. Analyst Anal. Methods Biomater. Sci. Catal. Sci. Technol. Chem. Commun. Chem. Soc. Rev. CHEM EDUC RES PRACT CRYSTENGCOMM Dalton Trans. Energy Environ. Sci. ENVIRON SCI-NANO ENVIRON SCI-PROC IMP ENVIRON SCI-WAT RES Faraday Discuss. Food Funct. Green Chem. Inorg. Chem. Front. Integr. Biol. J. Anal. At. Spectrom. J. Mater. Chem. A J. Mater. Chem. B J. Mater. Chem. C Lab Chip Mater. Chem. Front. Mater. Horiz. MEDCHEMCOMM Metallomics Mol. Biosyst. Mol. Syst. Des. Eng. Nanoscale Nanoscale Horiz. Nat. Prod. Rep. New J. Chem. Org. Biomol. Chem. Org. Chem. Front. PHOTOCH PHOTOBIO SCI PCCP Polym. Chem.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1