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A viscous model of wind fields in single-cell tornado-like vortices 单细胞龙卷风状涡旋中风场的粘性模型
IF 4.2 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-01-06 DOI: 10.1108/hff-09-2024-0668
Sanjay Kumar Pandey, Shruti  

Purpose

This study aims to generalize the Baker and Sterling’s model (2017) by additionally considering viscous flow and introducing a cylindrical central zone of low pressure. Unlike other models, in which the azimuthal velocity is deduced as a special solution using the variables-separable approach, the novelty in this is that it yields a more general form.

Design/methodology/approach

Flow is incompressible, steady, axisymmetric and viscous. Radial velocity is assumed similar to that of the Baker and Sterling model (2017) by incorporating a central low-pressure zone. The continuity and the Navier−Stokes equations are employed to obtain other velocity components and pressure. Unlike earlier models, azimuthal velocity is obtained from the radial and the axial momentum equations.

Findings

Azimuthal velocity does not asymptotically vanish in the radial direction, it rather sharply reduces to zero, which is practically observed in real vortices occurring in nature. Also, with an increase in water content in tornado fluid, the vortex becomes slightly thinner with comparatively slower rotation. Furthermore, the consideration of a central low-pressure zone shifts the maximum of the axial velocity somewhat away from the boundary of the low pressure. Also, as the low-pressure zone narrows, pressure from the outer zone to the boundary of the low-pressure central zone drops more rapidly, representing a stronger vortex.

Originality/value

To the best of the authors’ knowledge, no such analysis is available in the literature. The work is original and is not under consideration for publication elsewhere. Also, the analysis is balanced and fair.

本研究旨在通过额外考虑粘性流动并引入圆柱形中心低压区来推广Baker和Sterling的模型(2017)。与其他模型不同,在其他模型中,方位角速度是使用变量可分离方法作为特殊解推导出来的,这种方法的新颖之处在于它产生了更一般的形式。flow是不可压缩的、稳定的、轴对称的和粘性的。通过纳入中心低压区,假设径向速度与Baker和Sterling模型(2017)相似。利用连续性方程和Navier - Stokes方程求得其他速度分量和压力。与早期的模型不同,方位角速度是由径向和轴向动量方程获得的。结果表明:在实际发生的自然涡旋中,方位角速度不是在径向上逐渐消失,而是急剧减小到零。此外,随着龙卷风流体中含水量的增加,旋涡变薄,旋转速度相对较慢。此外,考虑到中心低压区,轴向速度最大值在一定程度上偏离了低压边界。同时,随着低压区变窄,从外围区到低压中心区边界的压力下降得更快,代表一个更强的涡。原创性/价值据作者所知,在文献中没有这样的分析。该作品是原创的,不考虑在其他地方出版。此外,分析是平衡和公正的。
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引用次数: 0
Analysis of heat transfer and AuNPs-mediated photo-thermal inactivation of E. coli at varying laser powers using single-phase CFD modeling 利用单相CFD模型分析不同激光功率下大肠杆菌的传热和aunps介导的光热失活
IF 4.2 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-12-31 DOI: 10.1108/hff-04-2024-0252
Aimad Koulali, Paweł Ziółkowski, Piotr Radomski, Luciano De Sio, Jacek Zieliński, María Cristina Nevárez Martínez, Dariusz Mikielewicz
<h3>Purpose</h3><p>In the wake of the COVID-19 pandemics, the demand for innovative and effective methods of bacterial inactivation has become a critical area of research, providing the impetus for this study. The purpose of this research is to analyze the AuNPs-mediated photothermal inactivation of <em>E. coli</em>. Gold nanoparticles irradiated by laser represent a promising technique for combating bacterial infection that combines high-tech and scientific progress. The intermediate aim of the work was to present the calibration of the model with respect to the gold nanorods experiment. The purpose of this work is to study the effect of initial concentration of <em>E. coli</em> bacteria, the design of the chamber and the laser power on heat transfer and inactivation of <em>E. coli</em> bacteria.</p><!--/ Abstract__block --><h3>Design/methodology/approach</h3><p>Using the CFD simulation, the work combines three main concepts. 1. The conversion of laser light to heat has been described by a combination of three distinctive approximations: a- Discrete particle integration to take into account every nanoparticle within the system, b- Rayleigh-Drude approximation to determine the scattering and extinction coefficients and c- Lambert–Beer–Bourger law to describe the decrease in laser intensity across the AuNPs. 2. The contribution of the presence of <em>E. coli</em> bacteria to the thermal and fluid-dynamic fields in the microdevice was modeled by single-phase approach by determining the effective thermophysical properties of the water-bacteria mixture. 3. An approach based on a temperature threshold attained at which bacteria will be inactivated, has been used to predict bacterial response to temperature increases.</p><!--/ Abstract__block --><h3>Findings</h3><p>The comparison of the thermal fields and temporal temperature changes obtained by the CFD simulation with those obtained experimentally confirms the accuracy of the light-heat conversion model derived from the aforementioned approximations. The results show a linear relationship between maximum temperature and variation in laser power over the range studied, which is in line with previous experimental results. It was also found that the temperature inside the microchamber can exceed 55 °C only when a laser power higher than 0.8 W is used, so bacterial inactivation begins.</p><!--/ Abstract__block --><h3>Research limitations/implications</h3><p>The experimental data allows to determinate the concentration of nanoparticles. This parameter is introduced into the mathematical model obtaining the same number of AuNPs. However, this assumption introduces a certain simplification, as in the mathematical model the distribution of nanoparticles is uniform.</p><!--/ Abstract__block --><h3>Practical implications</h3><p>This work is directly connected to the use of gold nanoparticles for energy conversion, as well as the field of bacterial inactivation in microfluidic systems such as lab-on-a-c
目的 在 COVID-19 大流行之后,对创新和有效的细菌灭活方法的需求已成为一个关键的研究领域,这为本研究提供了动力。本研究的目的是分析 AuNPs 介导的光热灭活大肠杆菌的方法。用激光照射金纳米粒子是一种很有前景的抗细菌感染技术,它将高科技与科学进步结合在一起。这项工作的中期目标是根据金纳米棒实验对模型进行校准。这项工作的目的是研究大肠杆菌的初始浓度、腔室设计和激光功率对传热和大肠杆菌灭活的影响。1.1. 激光转化为热量的过程由三种不同的近似方法组合而成:a- 离散粒子积分法,用于考虑系统中的每个纳米粒子;b- 瑞利-德鲁德近似法,用于确定散射和消光系数;c- 兰伯特-比尔-伯格定律,用于描述 AuNPs 上激光强度的下降。2.2. 通过确定水-细菌混合物的有效热物理性质,用单相法模拟了大肠杆菌的存在对微型装置中的热场和流体动力场的贡献。3.结果将 CFD 模拟获得的热场和时间温度变化与实验获得的热场和时间温度变化进行比较,证实了根据上述近似值推导出的光热转换模型的准确性。结果表明,在所研究的范围内,最大温度与激光功率的变化呈线性关系,这与之前的实验结果一致。研究限制/意义通过实验数据可以确定纳米颗粒的浓度。该参数被引入数学模型,以获得相同数量的 AuNPs。实际意义这项工作直接关系到金纳米粒子在能量转换中的应用,以及微流控系统(如片上实验室)中的细菌灭活领域。提出的数学和数值模型可扩展到整个波长范围,特别是在细菌灭活过程中使用白光。原创性/价值据作者所知,这是首次采用单相计算流体动力学(CFD)方法,特别是与细菌热灭活相结合的方法。此外,这项研究还开创性地使用数值模拟来分析金纳米棒(AuNRs)介导的光热灭活大肠杆菌的温度阈值。这些方法的整合为优化细菌灭活技术提供了新的视角,使这项研究对计算建模和生物医学应用都做出了宝贵的贡献。
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引用次数: 0
Study on phase change energy storage process in hot-water oil displacement system with composite fin structure 复合翅片结构热水驱油系统相变储能过程研究
IF 4.2 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-12-24 DOI: 10.1108/hff-06-2024-0424
Qiang Cui, Xiao Liu, Zhen Zhang, Xiaoqin Li, Shasha Yang

Purpose

This study aims to propose a new composite metal fin structure to enhance heat transfer efficiency during the phase change energy storage (PCES) process in a hot water oil displacement system.

Design/methodology/approach

PCES numerical unit is developed by varying the radii of annular fins and the number of corrugated fins. The impact of the finned structure on melting characteristics, energy storage performance and rate of heat storage is analyzed.

Findings

This study indicate the presence of non-uniform melting behavior in PCES unit during the heat charging process, which can be mitigated by increasing the number of corrugated fins and the radius of annular fins.

Originality/value

The impact of the finned structure on melting characteristics, energy storage performance and rate of heat storage is analyzed. This study indicates the presence of non-uniform melting behavior in PCES unit during the heat charging process, which can be mitigated by increasing the number of corrugated fins and the radius of annular fins.

目的提出一种新型复合金属翅片结构,以提高热水驱油系统相变储能(PCES)过程中的换热效率。设计/方法/方法pces数值单位是通过改变环形鳍的半径和波纹鳍的数量来开发的。分析了翅片结构对熔体特性、储能性能和蓄热速率的影响。研究结果表明,PCES装置在装热过程中存在不均匀熔化行为,可以通过增加波纹翅片的数量和环形翅片的半径来缓解这一现象。分析了翅片结构对熔体特性、储能性能和蓄热速率的影响。研究表明,PCES装置在装热过程中存在不均匀熔化行为,可以通过增加波纹片的数量和环形片的半径来缓解。
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引用次数: 0
Homogenization methods for thermal study of support structure in laser powder bed fusion (L-PBF) – application to process numerical modeling 用于激光粉末床熔融 (L-PBF) 中支撑结构热研究的均质化方法 - 应用于工艺数值建模
IF 4.2 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-12-18 DOI: 10.1108/hff-09-2024-0683
Yancheng Zhang, Hugo Behlal, Charles-André Gandin, Oriane Senninger, Gildas Guillemot, Michel Bellet

Purpose

This paper aims to report on a homogenized model for the anisotropic thermal conductivity of support structures constructed by the laser powder bed fusion (L-PBF) process, and its application to the numerical simulation of the L-PBF process.

Design/methodology/approach

Considering both analytical and numerical approaches, the model is developed across a temperature interval encompassing the entire L-PBF process. Subsequently, the homogenized material properties are incorporated into a thermal finite element model (FEM) of the L-PBF process to consider the effects of the support structures, taking into account their anisotropic properties.

Findings

The simulation results of the L-PBF process indicate that the support structures act as a thermal barrier, retaining more heat in part compared to direct printing on the substrate. The implementation of homogeneous thermal conductivity in the L-PBF process simulation demonstrates its efficiency and potential application to better control heat transfer during part construction.

Originality/value

The homogenized anisotropic thermal conductivity of a support structure has been characterized by both analytical and numerical approaches. Such homogenized anisotropic tensor was implemented in L-PBF numerical simulation. This showed a strong influence of the supports on the temperature distribution and evolution.

目的建立激光粉末床熔合(L-PBF)过程中支撑结构各向异性导热系数的均匀化模型,并将其应用于L-PBF过程的数值模拟。设计/方法/方法考虑到解析和数值方法,该模型是在包含整个L-PBF过程的温度区间内开发的。随后,将均质化后的材料性能纳入到L-PBF过程的热有限元模型(FEM)中,考虑支撑结构的各向异性对材料性能的影响。L-PBF工艺的模拟结果表明,与直接在基材上印刷相比,支撑结构起到了热障的作用,保留了更多的热量。均匀导热系数在L-PBF过程模拟中的实现证明了其有效性和潜在的应用,可以更好地控制零件制造过程中的传热。采用解析和数值方法对支撑结构的均质各向异性热导率进行了表征。在L-PBF数值模拟中实现了这种均质各向异性张量。这表明了支撑体对温度分布和演化的强烈影响。
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引用次数: 0
Aerodynamic characteristics of the race car in pitch and roll attitude 赛车在俯仰和翻滚姿态下的空气动力特性
IF 4.2 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-12-17 DOI: 10.1108/hff-05-2024-0375
Xiaojing Ma, Jie Li, Jun Zhao, Jiliang Chen

Purpose

Aerodynamics plays a crucial role in enhancing the performance of race cars. Due to the low ride height, the aerodynamic components of race cars are affected by ground effects. The changes in pitch and roll attitudes during the car’s movement impact its ride height. This study aims to analyze the aerodynamic characteristics of race cars under specific pitch and roll attitudes to understand the underlying aerodynamic mechanisms. This paper focuses on the aerodynamic characteristics of racing cars under variations in body posture associated with different vehicle ride heights. It examines not only the force and pressure distribution resulting from changes in the overall vehicle posture but also the flow field behavior of both surface flow and off‑body flow. Analyzing individual components reveals the impact of the front wing on the overall aerodynamic performance and aerodynamic balance of the racing car under these posture variations.

Design/methodology/approach

The grid strategy for the computational fluid dynamics (CFD) method was established under baseline conditions and compared with the results from wind tunnel experiments. The CFD approach was further employed to investigate the aerodynamic characteristics of the racing car under varying body postures associated with different vehicle ride heights. Emphasis is placed on the overall aerodynamic performance of the vehicle and the various components’ influence on the changing trends of aerodynamic forces. By considering the surface pressure distribution of the car, the primary reasons behind the changes in aerodynamic forces for each component are investigated. In addition, the surface flow and detached flow (wake and vortex distributions) of the car were observed to gain insights into the overall flow field behavior under different attitudes.

Findings

The findings indicate that both pitch and roll attitudes result in a considerable loss of downforce on the front wing compared with other components, thereby affecting the overall downforce and aerodynamic balance of the vehicle.

Originality/value

This paper focuses on the aerodynamic characteristics of racing cars under variations in body posture associated with different vehicle ride heights. It examines not only the force and pressure distribution resulting from changes in the overall vehicle posture but also the flow field behavior of both surface flow and off-body flow. Analyzing individual components reveals the impact of the front wing on the overall aerodynamic performance and aerodynamic balance of the racing car under these posture variations.

目的空气动力学在提高赛车性能方面起着至关重要的作用。由于较低的行驶高度,赛车的气动部件受到地面效应的影响。在汽车的运动过程中,俯仰和翻滚姿态的变化会影响其行驶高度。本研究旨在分析赛车在特定俯仰和侧倾姿态下的空气动力学特性,以了解潜在的空气动力学机制。本文主要研究了赛车在不同行驶高度下车身姿态变化的空气动力学特性。它不仅研究了由整体车辆姿态变化引起的力和压力分布,而且还研究了表面流和离体流的流场行为。通过对单个部件的分析,揭示了在这些姿态变化下,前翼对赛车整体气动性能和气动平衡的影响。设计/方法学/方法在基线条件下建立了计算流体动力学(CFD)方法的网格策略,并与风洞实验结果进行了比较。进一步采用CFD方法研究了不同车身姿态与不同行驶高度下赛车的气动特性。重点是车辆的整体气动性能和各部件对气动力变化趋势的影响。通过考虑汽车的表面压力分布,研究了各部件气动力变化的主要原因。此外,还观察了汽车的表面流动和分离流动(尾迹和涡分布),以了解不同姿态下的整体流场行为。研究结果表明,与其他部件相比,俯仰和侧滚姿态都会导致前翼上相当大的下压力损失,从而影响车辆的整体下压力和空气动力学平衡。原创性/价值本文主要研究赛车在车身姿态随行驶高度变化时的空气动力学特性。它不仅研究了由车辆整体姿态变化引起的力和压力分布,而且还研究了表面流和离体流的流场行为。通过对单个部件的分析,揭示了在这些姿态变化下,前翼对赛车整体气动性能和气动平衡的影响。
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引用次数: 0
Radiation and heat generation effect on MHD natural convection in hybrid nanofluid-filled inclined wavy porous cavity incorporating a cross-shaped obstacle 辐射生热对含交叉障碍物的纳米流体倾斜波状混合多孔腔MHD自然对流的影响
IF 4.2 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-12-17 DOI: 10.1108/hff-07-2024-0556
Lioua Kolsi, A.M. Rashad, Nirmalendu Biswas, M.A. Mansour, Taha Salah, Aboulbaba Eladeb, Taher Armaghani

Purpose

This paper aims to explore, through a numerical study, buoyant convective phenomena in a porous cavity containing a hybrid nanofluid, taking into account the local thermal nonequilibrium (LTNE) approach. The cavity contains a solid block in the shape of a cross (+). It will be helpful to develop and optimize the thermal systems with intricate geometries under LTNE conditions for a variety of applications.

Design/methodology/approach

To attain the objective, the system governing partial differential equations (PDEs), expressed as functions of the current function and temperature, and are solved numerically by the finite difference approach. The authors carefully examine the heat transfer rates and dynamics of the micropolar hybrid nanofluid by presenting fluid flow contours, isotherms of the liquid and solid phases, as well as contours of streamlines, isotherms and concentration of the fluid. Key parameters analyzed include heated length (B = 0.1–0.5), porosity (ε = 0.1–0.9), heat absorption/generation (Q = 0–8), length wave (λ = 1–3) and the interphase heat transfer coefficient (H* = 0.05–10). The equations specific to the flow of a micropolar fluid are converted into classical Navier–Stokes equations by increasing the porosity and pore size.

Findings

The results showed that the shape, strength and position of the fluid circulation are dictated by the size of the inner obstacle (B) as well as the effective length of the heating wall. The lower value of obstruction size, as well as heating wall length, leads to a higher rate of heat transfer. Heat transfer is much higher for the higher amount of heat absorption instead of heat generation (Q). The higher porosity values lead to lesser fluid resistance, which leads to a superior heat transfer from the hot source to the cold walls. The surface waviness of 4 leads to superior heat transfer related to any other waviness.

Research limitations/implications

This work can be further investigated by looking at thermal performance in the existence of various-shaped obstructions, curvature effects, orientations, boundary conditions and other variables. Numerical simulations or experimental studies in different multiphysical contexts can be used to achieve this.

Practical implications

Many technical fields, including heat exchanging unit, crystallization processes, microelectronic units, energy storage processes, mixing devices, food processing, air conditioning systems and many more, can benefit from the geometric configurations investigated in this study.

Originality/value

This work numerically explores the behavior of micropolar nanofluids (a mixture of copper, aluminum oxide and water) within a porous inclined enclosure wit

本文旨在通过数值研究,在考虑局部热不平衡(LTNE)方法的情况下,探讨含有混合纳米流体的多孔腔中的浮力对流现象。该空腔包含一个十字(+)形状的实心块。这将有助于在LTNE条件下开发和优化具有复杂几何形状的热系统,用于各种应用。设计/方法/途径为了达到这个目标,用电流函数和温度的函数来表示系统控制偏微分方程(PDEs),并通过有限差分方法进行数值求解。作者通过展示流体流动等温线、液相和固相等温线以及流线等温线和流体浓度等温线,仔细检查了微极性混合纳米流体的传热速率和动力学。分析的关键参数包括加热长度(B = 0.1-0.5)、孔隙率(ε = 0.1-0.9)、吸热/产热(Q = 0-8)、长波(λ = 1-3)和相间换热系数(H* = 0.05-10)。通过增加孔隙度和孔径,将微极流体流动方程转化为经典的Navier-Stokes方程。结果表明,流体循环的形状、强度和位置取决于内障碍物(B)的大小和加热壁的有效长度。阻塞尺寸和加热壁长度越小,传热速率越高。吸热量越高,换热量越高(Q)。孔隙率越高,流体阻力越小,从热源到冷壁的换热效果越好。4的表面波浪度比其他任何波浪度都有更好的传热效果。研究的局限性/意义本工作可以通过观察存在各种形状障碍物、曲率效应、方向、边界条件和其他变量的热性能来进一步研究。数值模拟或不同多物理环境下的实验研究可用于实现这一目标。许多技术领域,包括换热装置、结晶过程、微电子装置、能量储存过程、混合装置、食品加工、空调系统等等,都可以从本研究中研究的几何结构中受益。独创性/价值本研究应用非局部热平衡模型,从数值上探讨了微极性纳米流体(铜、氧化铝和水的混合物)在多孔倾斜的波纹壁外壳内的行为,在定向磁场下,中间包含一个十字形的固体插入物。通过描述微极性纳米流体的流动形态、液固两相温度以及流体的流动场、热场和浓度场的变化,详细分析了微极性纳米流体的传热速率和动力学。
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引用次数: 0
Peristaltic pumping of viscoelastic fluid in a diverging channel: effects of magnetic field and surface roughness 粘弹性流体在分流通道中的蠕动泵送:磁场和表面粗糙度的影响
IF 4.2 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-12-13 DOI: 10.1108/hff-09-2024-0664
Ashvani Kumar, Anjali Bhardwaj, Dharmendra Tripathi

Purpose

Surface properties (smooth or roughness) play a critical role in controlling the wettability, surface area and other physical and chemical properties like fluid flow behaviour over the rough and smooth surfaces. It is reported that rough surfaces are offering more significant insights as compared to smooth surfaces. The purpose of this study is to examine the effects of surface roughness in the diverging channel on physiological fluid flows.

Design/methodology/approach

A mathematical formulation based on the conservation of mass and momentum equations is developed to derive exact solutions for the physical quantities under the assumption of low Reynolds numbers and long wavelengths, which are appropriate for biological transport scenarios.

Findings

The results reveal that an increase in surface roughness reduces axial velocity and volumetric flow rate while increasing pressure distribution and turbulence in skin friction.

Research limitations/implications

These findings offer valuable insights for biological flow analysis, highlighting the effects of surface roughness, non-uniformity of the channel and magnetic fields.

Practical implications

These findings are very much applicable for designing the pumping devices for transportation of the fluids in non-uniform channels.

Originality/value

This study examines the impact of surface roughness on the peristaltic pumping of viscoelastic (Jeffrey) fluids in diverging channels with transverse magnetic fields.

表面特性(光滑或粗糙)在控制润湿性、表面积和其他物理和化学特性(如粗糙和光滑表面上的流体流动行为)方面起着关键作用。据报道,与光滑的表面相比,粗糙的表面提供了更重要的见解。本研究的目的是研究分流通道表面粗糙度对生理流体流动的影响。设计/方法/方法基于质量和动量守恒方程,推导出适合生物输运的低雷诺数和长波假设下物理量的精确解。结果表明,表面粗糙度的增加降低了轴向速度和体积流量,同时增加了摩擦时的压力分布和湍流。这些发现为生物流动分析提供了有价值的见解,突出了表面粗糙度,通道不均匀性和磁场的影响。实际意义这些发现对设计非均匀通道中流体输送的泵送装置具有重要的应用价值。原创性/价值本研究考察了表面粗糙度对粘弹性(Jeffrey)流体在具有横向磁场的发散通道中蠕动泵送的影响。
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引用次数: 0
Evaluation of theoretical models for anisotropic effective thermal conductivity in continuous fiber-reinforced thermoplastic laminates 连续纤维增强热塑性层压板各向异性有效导热系数理论模型的评价
IF 4.2 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-12-13 DOI: 10.1108/hff-05-2024-0340
James T Gayton, Justin Lawrence Lapp

Purpose

Continuous fiber-reinforced thermoplastic composites are a class of materials highly valuable for structural applications and modeling of heat transfer within them is critical to the design of their processing methods. However, the fiber reinforcement leads to highly anisotropic thermal conduction. Among a variety of methods to account for anisotropic thermal conductivity, continuum models with effective media approximation thermal conductivity are computationally efficient and require minimal data to begin modeling a specific composite material. The purpose of this study is to evalute the utility of these models.

Design/methodology/approach

In this work, six potential effective media approximation models are evaluated against experimental heating data. Thick (>25 mm) glass fiber-reinforced polyethylene terephthalate glycol (PET-G) specimens with 40% fiber volume fraction were heated with embedded resistance heating to produce validation and testing data sets. A two-dimensional finite-difference solver was implemented using each of the six effective media approximation models. The accuracy of each model is compared.

Findings

The model developed by Cheng and Vachon was found to predict the experimental results most accurately. Fit statistics were similar in the testing and validation data sets. This model is recommended for simulation of transient heating in continuous fiber-reinforced thermoplastic composites with low-to-moderate fiber volume fractions.

Originality/value

There are a wide variety of mathematical models for effective media approximation thermal conductivity, though very few have been applied to continuous fiber-reinforced thermoplastic composites. This work shows that the simplest methods based on rules of mixtures are well outperformed by more modern and complex models, and should be incorporated for accurate prediction of heating during thermal processing of fiber-reinforced thermoplastic composites.

目的:连续纤维增强热塑性复合材料是一类具有很高结构应用价值的材料,其内部的传热建模对其加工方法的设计至关重要。然而,纤维增强导致了高度的各向异性热传导。在解释各向异性导热系数的各种方法中,具有有效介质近似导热系数的连续统模型计算效率高,并且需要最少的数据来开始对特定复合材料进行建模。本研究的目的是评估这些模型的效用。设计/方法/方法在这项工作中,根据实验加热数据评估了六种潜在的有效介质近似模型。厚(> 25mm)纤维体积分数为40%的玻璃纤维增强聚对苯二甲酸乙二醇酯(PET-G)样品采用嵌入式电阻加热加热,以产生验证和测试数据集。利用六种有效介质近似模型分别实现了二维有限差分求解器。比较了各模型的精度。发现Cheng和Vachon开发的模型能够最准确地预测实验结果。检验和验证数据集的拟合统计量相似。该模型适用于低至中等纤维体积分数的连续纤维增强热塑性复合材料的瞬态加热模拟。有各种各样的有效介质近似热导率的数学模型,尽管很少有被应用于连续纤维增强热塑性复合材料。这项工作表明,基于混合规则的最简单的方法被更现代和更复杂的模型所优于,并且应该纳入纤维增强热塑性复合材料热加工过程中加热的准确预测。
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引用次数: 0
When to perform cloud seeding for maximum agricultural crop yields? A modeling study 什么时候进行播云以获得最大的农作物产量?模型研究
IF 4.2 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-12-12 DOI: 10.1108/hff-09-2024-0711
Arvind Kumar Misra, Gauri Agrawal, Akash Yadav

Purpose

Agricultural crops play a crucial role in food security and require commensurating environmental conditions, including adequate rainfall to ensure optimum growth. However, in the recent past, a reduction in the agriculture crop yield has been observed due to the deteriorating rainfall pattern. This paper aims to present a novel mathematical model to analyze the impact of rainfall on the growth of agriculture crops, as well as the impact of cloud seeding for promoting the rainfall, in case of less rainfall to ensure the optimum growth of agriculture crops.

Design/methodology/approach

The authors formulate a mathematical model assuming that the growth of agriculture crops wholly depends on rainfall. Also, agricultural crops can sustain and give optimal yields at a threshold of rainfall, after which rainfall negatively affects the growth rate of agriculture crops. Further, if the agriculture crops get insufficient rain to grow, the authors assume that cloud seeding agents are introduced in the regional atmosphere in proportion to the density of cloud droplets to increase rainfall.

Findings

This research shows that while cloud seeding agents boost crop yield, excessive rainfall poses significant risks on the yield. For any given value of π1 (conversion of cloud droplets into raindrops because of introduced cloud seeding agents), we have identified the threshold value of ϕ (introduction rate of cloud seeding agents into clouds) where crop yield can be maximized.

Research limitations/implications

This model highlights the delicate balance between rainfall and cloud seeding, offering policymakers valuable insights for maximizing agricultural crop yields.

Originality/value

This research provides strategies to mitigate crop loss due to unpredictable rainfall patterns.

农业作物在粮食安全中发挥着至关重要的作用,需要相应的环境条件,包括充足的降雨以确保最佳生长。然而,在最近的过去,由于降雨模式的恶化,已经观察到农作物产量的减少。本文旨在建立一种新的数学模型,分析降雨对农作物生长的影响,以及在降雨较少的情况下,云播对促进降雨的影响,以确保农作物的最佳生长。设计/方法/方法作者建立了一个数学模型,假设农作物的生长完全取决于降雨。此外,农作物可以在降雨量阈值下维持并获得最佳产量,超过该阈值后,降雨量会对农作物的生长速度产生负面影响。此外,如果农作物得不到足够的雨水生长,作者假设在区域大气中按云滴密度的比例引入云播剂以增加降雨量。研究结果这项研究表明,虽然云播剂可以提高作物产量,但过度降雨会对产量造成重大风险。对于任何给定的π1值(由于引入云播剂而将云滴转化为雨滴),我们已经确定了可以最大化作物产量的ϕ(云播剂引入云的速率)的阈值。该模型强调了降雨和人工降雨之间的微妙平衡,为决策者提供了有价值的见解,以最大限度地提高农作物产量。独创性/价值本研究提供了减轻由于不可预测的降雨模式造成的作物损失的策略。
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引用次数: 0
Rayleigh waves in thermoelastic medium based on a novel nonlocal three-phase-lag diffusion model with double porosity 热弹性介质中的瑞利波基于一种新型非局部三相滞后双孔隙扩散模型
IF 4.2 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-12-09 DOI: 10.1108/hff-06-2024-0469
Chandra Sekhar Mahato, Siddhartha Biswas

Purpose

This paper is concerned with the study of the propagation of Rayleigh waves in a homogeneous isotropic, generalized thermoelastic medium with mass diffusion and double porosity structure using the theoretical framework of three-phase-lag model of thermoelasticity.

Design/methodology/approach

Using Eringen’s nonlocal elasticity theory and normal mode analysis technique, this paper solves the problem. The medium is subjected to isothermal, thermally insulated stress-free, and chemical potential boundary conditions.

Findings

The frequency equation of Rayleigh waves for isothermal and thermally insulated surfaces is derived. Propagation speed, attenuation coefficient, penetration depth and specific loss of the Rayleigh waves are computed numerically. The impact of nonlocal, void and diffusion parameters on different physical characteristics of Rayleigh waves like propagation speed, attenuation coefficient, penetration depth and specific loss with respect to wave number for isothermal and thermally insulated surfaces is depicted graphically.

Originality/value

Some limiting and particular cases are also deduced from the present investigation and compared with the existing literature. During Rayleigh wave propagation, the path of the surface particle is found to be elliptical. This study can be extended to fields like earthquake engineering, geophysics and the degradation of old building materials.

目的采用热弹性三相滞后模型的理论框架,研究了瑞利波在均匀各向同性、具有质量扩散和双重孔隙结构的广义热弹性介质中的传播。采用Eringen的非局部弹性理论和正态模态分析技术解决了这一问题。介质受等温、绝热、无应力和化学势边界条件的约束。得到了等温表面和绝热表面的瑞利波频率方程。对瑞利波的传播速度、衰减系数、穿透深度和比损失进行了数值计算。用图形描述了非局部参数、空洞参数和扩散参数对瑞利波的传播速度、衰减系数、穿透深度和相对于波数的比损失等不同物理特性的影响。独创性/价值从本研究中推断出一些局限性和特殊情况,并与现有文献进行了比较。在瑞利波传播过程中,发现表面粒子的路径是椭圆的。这项研究可以推广到地震工程、地球物理和旧建筑材料的降解等领域。
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引用次数: 0
期刊
International Journal of Numerical Methods for Heat & Fluid Flow
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