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Role of suction/injection on free convective flow in a vertical porous channel with non-Fourier effects in the presence of periodic boundary 在存在周期性边界的情况下,吸力/注入对具有非傅里叶效应的垂直多孔通道中自由对流的作用
IF 3.6 Q1 Chemical Engineering Pub Date : 2024-03-22 DOI: 10.1002/htj.23047
A. O. Ajibade, H. M. Jibril, N. L. Mukhtar

The key attention of this work is on the impact of suction/injection on the free convective flow of a viscous fluid passing between two infinite, parallel, vertical and porous plates with non-Fourier effects. The analysis focuses on a porous channel with boundaries featuring a steady–periodic temperature regime. The governing equations, representing velocity(momentum) and temperature(energy) fields, are well-stated in dimensional form. Employing a separation technique, the momentum and energy equations are separated into steady and periodic components. On solving, the resulting second-order ordinary differential equations derived, revealed the expressions for velocity and temperature in dimensionless form. However, the study investigates the influence of various flow parameters used in this work, including suction/injection � � (� � s� � ) $(s)$, heat source/sink � � (� � H� � ) $(H)$, Strouhal number � � (� � St� � ) $({St})$, Prandtl number � � (� � P� � r� � ) $(Pr)$, and dimensionless relaxation time � � (� � γ� � )

这项工作的重点是吸入/注入对在两个无限、平行、垂直和多孔板之间通过的粘性流体自由对流的影响,以及非傅里叶效应。分析的重点是多孔通道,其边界具有稳定的周期温度机制。代表速度场(动量场)和温度场(能量场)的控制方程以维度形式得到了很好的阐述。利用分离技术,动量方程和能量方程被分离成稳定和周期两部分。在求解过程中,得出的二阶常微分方程揭示了速度和温度的无量纲表达式。不过,本研究还探讨了工作中使用的各种流动参数对速度和温度分布的影响,包括吸入/喷射、热源/沉降、斯特劳哈尔数、普朗特数和无量纲弛豫时间。此外,还包括热传导率对流动性能的影响以及板上的表皮摩擦系数。研究结果通过 MATLAB 生成的图表直观显示。研究过程中发现了一个有趣的现象,即吸入/喷射会提高通道内的流速和流体温度,它们都是斯特劳哈尔数的递减函数,而斯特劳哈尔数可以测量板上周期性加热的频率。此外,当吸入/注入参数放宽时,本研究与 Ajibade 和 Mukhtar 的研究结果非常一致。
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引用次数: 0
Experimental and numerical studies of the effect of perforation configuration on heat transfer enhancement of pin fins heat sink 穿孔配置对针翅式散热器传热增强效果的实验和数值研究
IF 3.6 Q1 Chemical Engineering Pub Date : 2024-03-22 DOI: 10.1002/htj.23051
Ndah Abdulrahman Alpha, Iortyer Humphrey Aondover, Aondoyila Kuhe

In this study, experimental and computational studies of the impact of forced convective flow on the heat transfer characteristics of staggered pin fins with perforations are investigated in a rectangular channel at constant heat flux with Reynolds numbers (Re) of 2 × 103–12 × 103. In particular, cylindrical pin fins with circular longitudinal (L) perforation, longitudinal/transverse (LT) perforation, and longitudinal/transverse/vertical (LTV) perforation perforations are compared to solid pin fins to find out how adding different perforation arrays affects overall heat transfer performance and also to find the best perforation configuration for maximum performance. ANSYS-FLUENT is employed for numerical simulation, validated by experimental data. Experimental validation is conducted by attaching the heat sink to a Peltier module, inducing heat generation through current on one face in the Armfield Free and Forced Convection Heat Transfer Service Units HT 19 and HT10XC. Results highlight significant increases in Nusselt number (Nu) for perforated pins compared to solid pins, with L perforations at 8%, LT perforations at 33%, and 67% for LTV perforated pins due to transverse perforations that act as slots, which stir up the primary flow and induce secondary flow generated by vertical perforations. Regarding pressure drops, L perforations reduce by 9%, LT by 19%, and LTV by 27% compared to solid pins. The overall enhancement ratio peaks at the minimum Reynold number, notably achieving a 38% increase in the LTV perforation pin fin array. This innovative study holds promise for diverse electronic applications, offering enhanced heat transfer performance in electronic cooling systems.

本研究在雷诺数 (Re) 为 2 × 103-12 × 103 的恒定热通量条件下,在矩形通道中对强制对流对带孔交错针翅片传热特性的影响进行了实验和计算研究。特别是将带有圆形纵向(L)穿孔、纵向/横向(LT)穿孔和纵向/横向/垂直(LTV)穿孔的圆柱形针翅片与实心针翅片进行了比较,以找出添加不同穿孔阵列对整体传热性能的影响,并找到实现最高性能的最佳穿孔配置。ANSYS-FLUENT 用于数值模拟,并通过实验数据进行验证。通过将散热器连接到珀尔帖模块,在 Armfield 自由和强制对流传热服务单元 HT 19 和 HT10XC 的一个面上通过电流诱导发热,进行了实验验证。结果表明,与实心铆钉相比,穿孔铆钉的努塞尔特数(Nu)明显增加,L 型穿孔铆钉增加 8%,LT 型穿孔铆钉增加 33%,LTV 型穿孔铆钉增加 67%。在压降方面,与实心栓相比,L穿孔减少了9%,LT穿孔减少了19%,LTV穿孔减少了27%。整体增强率在最小雷诺数时达到峰值,LTV 穿孔鳍片阵列显著提高了 38%。这项创新研究有望应用于各种电子产品,提高电子冷却系统的传热性能。
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引用次数: 0
Heat transfer assessment incorporated with entropy generation within a curved corner structure enclosing a cold domain 在封闭冷域的弯角结构中结合熵生成进行传热评估
IF 3.6 Q1 Chemical Engineering Pub Date : 2024-03-22 DOI: 10.1002/htj.23044
Jiaul Haque Saboj, Preetom Nag, Goutam Saha, Suvash C. Saha

In cold climates or winter countries, maintaining optimal room temperatures is essential for comfort and energy efficiency. Conventional square or rectangle-shaped rooms often face challenges in achieving efficient heat transfer (HT) and uniform temperature distribution. To address these limitations, this study has been explored using curved corner cavities, varying their aspect ratio (AR = 1.0 and 0.5), and incorporating a circular shape cooler to enhance HT within the room. The curved corners promote better airflow circulation, creating a more efficient HT environment. The dimensionless governing equations and corresponding boundary conditions are solved numerically using the finite element method. This research aims to assess the optimized HT and entropy production within a curved corner cavity, varying their AR and enclosing a circular shape cooler to determine the most effective configuration for maximizing HT and energy efficiency in winter conditions. This study reveals that in the case without a cooler (WOC), the average Nusselt number (� � N� � u� � � � a� � v� � g $N{u}_{avg}$) is higher in the curved rectangle cavity compared with the curved square cavity for all � � R� � a $Ra$ values. Using the curved square (AR = 1.0), � � N� � u� � a� � v� � g

在寒冷气候或冬季国家,保持最佳室温对于提高舒适度和能效至关重要。传统的正方形或长方形房间在实现高效传热(HT)和均匀温度分布方面往往面临挑战。为了解决这些局限性,本研究探索使用弧形角腔,改变其长宽比(AR = 1.0 和 0.5),并结合圆形冷却器来增强室内的热传导。弧形拐角能促进气流循环,创造更高效的高温环境。采用有限元法对无量纲控制方程和相应的边界条件进行了数值求解。本研究旨在评估弧形拐角空腔内的最佳热效率和熵产生,改变其 AR 值并包围圆形冷却器,以确定在冬季条件下最大化热效率和能效的最有效配置。研究表明,在没有冷却器(WOC)的情况下,在所有数值上,矩形曲面空腔的平均努塞尔特数()都高于正方形曲面空腔。使用弧形正方形(AR = 1.0)时,平均努内特数()增加了 191.86%,而使用弧形矩形(AR = 0.5)时,平均努内特数()增加了 302.63%。此外,在使用冷却器(WC)的情况下,熵值高于 WOC 和 WC 情况下的熵值,并且 WOC 和 WC 情况下的平均总熵在所有值上都有所增加。从正方形过渡到弧形矩形(AR = 0.5)时,WC 的熵增加了 329.34%。此外,在 WOC 情况下,弧形正方形空腔和在 WC 情况下,弧形矩形空腔显示出更高的能效并减少了对环境的影响。
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引用次数: 0
Thermal conformance parameters for assessment of heat transfer between similar and dissimilar metal contacts 用于评估同类和异类金属接触传热的热一致性参数
IF 3.6 Q1 Chemical Engineering Pub Date : 2024-03-22 DOI: 10.1002/htj.23036
Ramakrishna Devananda Pathumudy, Augustine Samuel, K. Narayan Prabhu

A novel approach to assess the thermal conformance between two metallic materials under transient conditions was proposed in the present investigation. Thermal conformance parameters (ƞ, ϴ, tg) were defined to quantify the contact condition between a metal–metal interface. To assess the effect of load and thermophysical properties of the sink and source materials on the degree of thermal conformance, a thermal conformance assessment parameter (TCAP) was proposed. Heat flux transients at the thermal interface was estimated by using an inverse heat conduction approach for various similar and dissimilar metallic surfaces in contact such as Cu─Cu, Al─Al, Al─Cu, and Cu─Al under both load and no load conditions. Commercially available silicone grease (SG) and thermal grease (CTG) were used as thermal interface materials (TIMs). The thermal conformance parameters increased with the increase in load for all the combinations of interfaces with and without TIMs. It was observed that, except for the copper–copper combination, thermal conformance parameters showed a linear relation with the TCAP. The enhancement in the heat transfer due to the application of load and TIM was validated by determining the maximum temperature difference (∆Tmax) across the interface. The experimental study revealed that the ∆Tmax decreases with the application of load and application of TIM leading to enhanced heat transfer. For the copper–copper combination, the thermal conformance depended solely on the load applied. Due to the lower thermal resistance offered by copper source/sink materials, the interfacial resistance between them becomes a dominant factor. The effect of TIM on heat absorbed by the sink was significant for the Cu/Cu interface.

本研究提出了一种新方法来评估两种金属材料在瞬态条件下的热一致性。热一致性参数(ƞ、ϴ、tg)用于量化金属-金属界面之间的接触状况。为了评估负载以及汇和源材料的热物理性质对热一致性程度的影响,提出了热一致性评估参数(TCAP)。在负载和空载条件下,使用反热传导方法估算了各种相似和不相似的接触金属表面(如铜-铜、铝-铝、铝-铜和铜-铝)在热界面上的瞬时热通量。市售硅脂(SG)和导热脂(CTG)被用作热界面材料(TIM)。所有使用和不使用热界面材料的界面组合的热一致性参数都随着负载的增加而增加。据观察,除铜-铜组合外,热一致性参数与 TCAP 呈线性关系。通过确定整个界面的最大温差(ΔTmax),验证了施加负载和 TIM 所带来的热传递增强。实验研究表明,∆Tmax 会随着施加负载和使用 TIM 而减小,从而导致传热增强。对于铜-铜组合,热一致性完全取决于施加的负载。由于铜源/沉降片材料的热阻较低,它们之间的界面电阻成为主要因素。对于铜/铜界面,TIM 对水槽吸热的影响很大。
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引用次数: 0
Impact of entropy generation and temperature gradient heat source on Couette flow in a permeable magnetic field 熵产生和温度梯度热源对可渗透磁场中库特流的影响
IF 3.6 Q1 Chemical Engineering Pub Date : 2024-03-22 DOI: 10.1002/htj.23050
Nadimpalli Udaya Bhaskara Varma, Jupudi Lakshmi Ramaprasad, Kuppareddy Subramanyam Balamurugan

This research paper focused on investigating the influence of various factors on steady Couette flow beneath a permeable bed. Factors studied included aligned magnetic field, thermal radiation, temperature gradient heat source, viscous dissipation, and Joules dissipation. The momentum and energy equations governing flow and heat transmission were analytically solved to predict the generation of entropy. The findings were visually presented through graphical representations, which effectively demonstrated the effect of these factors on the fluid's velocity, temperature, entropy production, and Bejan number. In addition, the shear stress and rate of heat transfer coefficient at the channel walls were computed and their behavior was documented in tables to provide further insights.

这篇研究论文的重点是研究各种因素对透水床下稳定库特流的影响。研究的因素包括对齐磁场、热辐射、温度梯度热源、粘性耗散和焦耳耗散。通过对流动和热传递的动量和能量方程进行分析求解,预测了熵的产生。研究结果通过图表直观地展示出来,有效地说明了这些因素对流体速度、温度、熵产生和贝扬数的影响。此外,还计算了通道壁的剪应力和传热系数率,并将其行为记录在表格中,以提供进一步的见解。
{"title":"Impact of entropy generation and temperature gradient heat source on Couette flow in a permeable magnetic field","authors":"Nadimpalli Udaya Bhaskara Varma,&nbsp;Jupudi Lakshmi Ramaprasad,&nbsp;Kuppareddy Subramanyam Balamurugan","doi":"10.1002/htj.23050","DOIUrl":"10.1002/htj.23050","url":null,"abstract":"<p>This research paper focused on investigating the influence of various factors on steady Couette flow beneath a permeable bed. Factors studied included aligned magnetic field, thermal radiation, temperature gradient heat source, viscous dissipation, and Joules dissipation. The momentum and energy equations governing flow and heat transmission were analytically solved to predict the generation of entropy. The findings were visually presented through graphical representations, which effectively demonstrated the effect of these factors on the fluid's velocity, temperature, entropy production, and Bejan number. In addition, the shear stress and rate of heat transfer coefficient at the channel walls were computed and their behavior was documented in tables to provide further insights.</p>","PeriodicalId":44939,"journal":{"name":"Heat Transfer","volume":null,"pages":null},"PeriodicalIF":3.6,"publicationDate":"2024-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140214651","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Enhanced heat transfer study of microchannel heat sink with periodically arranged triangular cavities and arc-shaped ribs 带有周期性排列的三角形空腔和弧形肋片的微通道散热器的强化传热研究
IF 3.6 Q1 Chemical Engineering Pub Date : 2024-03-22 DOI: 10.1002/htj.23042
Congle Wang, Jinrong Zhu, Hui Li, Dongqing Dai, Hui Lv, Qinghua Lv

The microchannel heat sink with periodically arranged triangular cavities and arc-shaped ribs (MC-ARTC) is investigated numerically under the conditions of Reynolds number 147–736. The effects of triangular cavities and arc-shaped ribs on velocity, pressure, and temperature distribution in the channel are analyzed in comparison with a rectangular microchannel heat sink, microchannel heat sink with arc-shaped ribs, and microchannel heat sink with triangular cavities. The results show that the triangular cavity and the arc-shaped rib have important effects on the flow and heat transfer characteristics in the microchannel heat sink. Both rib and cavity can cause a change in fluid flow direction and disturb the development of the flow boundary layer. The fluid flow and heat transfer characteristics of microchannels are improved. Among the four microchannels, the MC-ARTC has the optimum comprehensive performance for the combined effect of the rib and cavity. Relative cavity width (� � β $beta $) and relative rib height (� � θ $theta $) are also defined to study the effects of cavity width (� � W� � t ${W}_{{rm{t}}}$ = 89–200 μm) and rib height (� � H� � a ${H}_{{rm{a}}}$ = 8.9–28.9 μm) on the flow and heat transfer characteristics. It is found that the heat transfer of MC-ARTC is enhanced with increasing � � W� � t ${W}_{{rm{t}}}$ and

在雷诺数为 147-736 的条件下,对具有周期性排列的三角形空腔和弧形肋条的微通道散热器(MC-ARTC)进行了数值研究。与矩形微通道散热器、带弧形肋片的微通道散热器和带三角形空腔的微通道散热器相比,分析了三角形空腔和弧形肋片对通道内速度、压力和温度分布的影响。结果表明,三角形空腔和弧形肋条对微通道散热器中的流动和传热特性有重要影响。肋条和空腔都会引起流体流动方向的改变,扰乱流动边界层的发展。微通道的流体流动和传热特性得到了改善。在四种微通道中,MC-ARTC 在肋片和空腔的共同作用下具有最佳的综合性能。还定义了相对空腔宽度()和相对肋高(),以研究空腔宽度(=89-200 μm)和肋高(=8.9-28.9 μm)对流动和传热特性的影响。研究发现,MC-ARTC 的传热效果随着和 的增大而增强,同时导致压降增大。当 和 分别为 252 和 249 μm 时,MC-ARTC 的综合性能系数()达到 1.76。
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引用次数: 0
Fluid-structure interaction study of an oscillating heat source effect on the natural convection flow 振荡热源对自然对流影响的流固耦合研究
IF 3.6 Q1 Chemical Engineering Pub Date : 2024-03-21 DOI: 10.1002/htj.23037
Nehila Tarek, Benachour Elhadj, Ghalambaz Mohammad, Hasnat Mohammed, Asnoune Khadidja

The objective of this paper is to investigate fluid-structure interaction (FSI) within conjugate natural convection. An oscillating fin, featuring a heat source placed at different locations, is examined using the Arbitrary Lagrangian–Eulerian formulation. The Galerkin finite element method is utilized to solve nonlinear dimensionless equations. Verification of grid independence is conducted and the model undergoes validation. Simulation outcomes for three fin positions (left, center, and right) and three heat source locations (bottom, middle, and top) are presented, illustrating streamlines, isotherms, and the average Nusselt number. The governing equations and boundary conditions are addressed using the finite element method. Temperature profiles in four scenarios are analyzed, along with horizontal velocities at different levels (0, D/2, D from the bottom wall). Dimensionless time (10−5 ≤ t ≤ 3), Ra = 106, Kr = 10, E = 1011 are used as parameters. The impact of the heat source position on vibratory motion is evaluated through Nusselt number variation, affecting heat exchange in different cases. The results show that heat transfer is minimal for a source location at the center of the fin (c). These findings also offer insights into FSI applications in economics and industry, guiding practical design considerations. Additionally, coupling the vibratory motion of the heat source with the flexible oscillating fin at the same frequency enhances understanding of the system.

本文旨在研究共轭自然对流中的流固相互作用(FSI)。本文采用任意拉格朗日-欧勒公式研究了一个摆动鳍,其特点是在不同位置放置了一个热源。利用 Galerkin 有限元法求解非线性无量纲方程。对网格独立性进行了验证,并对模型进行了验证。演示了三个翅片位置(左、中、右)和三个热源位置(下、中、上)的模拟结果,说明了流线、等温线和平均努塞尔特数。治理方程和边界条件采用有限元法进行处理。分析了四种情况下的温度曲线,以及不同水平(距底壁 0、D/2、D)的水平速度。参数为无量纲时间(10-5 ≤ t ≤ 3)、Ra = 106、Kr = 10、E = 1011。通过努塞尔特数的变化评估了热源位置对振动运动的影响,以及在不同情况下对热交换的影响。结果表明,热源位置位于翅片中心(c)时,热量传递最小。这些发现还为 FSI 在经济和工业领域的应用提供了启示,为实际设计提供了指导。此外,将热源的振动运动与同频率的柔性振荡鳍片结合起来,可以加深对系统的理解。
{"title":"Fluid-structure interaction study of an oscillating heat source effect on the natural convection flow","authors":"Nehila Tarek,&nbsp;Benachour Elhadj,&nbsp;Ghalambaz Mohammad,&nbsp;Hasnat Mohammed,&nbsp;Asnoune Khadidja","doi":"10.1002/htj.23037","DOIUrl":"10.1002/htj.23037","url":null,"abstract":"<p>The objective of this paper is to investigate fluid-structure interaction (FSI) within conjugate natural convection. An oscillating fin, featuring a heat source placed at different locations, is examined using the Arbitrary Lagrangian–Eulerian formulation. The Galerkin finite element method is utilized to solve nonlinear dimensionless equations. Verification of grid independence is conducted and the model undergoes validation. Simulation outcomes for three fin positions (left, center, and right) and three heat source locations (bottom, middle, and top) are presented, illustrating streamlines, isotherms, and the average Nusselt number. The governing equations and boundary conditions are addressed using the finite element method. Temperature profiles in four scenarios are analyzed, along with horizontal velocities at different levels (0, <i>D</i>/2, <i>D</i> from the bottom wall). Dimensionless time (10<sup>−5</sup> ≤ <i>t</i> ≤ 3), <i>Ra</i> = 10<sup>6</sup>, <i>Kr</i> = 10, <i>E</i> = 10<sup>11</sup> are used as parameters. The impact of the heat source position on vibratory motion is evaluated through Nusselt number variation, affecting heat exchange in different cases. The results show that heat transfer is minimal for a source location at the center of the fin (c). These findings also offer insights into FSI applications in economics and industry, guiding practical design considerations. Additionally, coupling the vibratory motion of the heat source with the flexible oscillating fin at the same frequency enhances understanding of the system.</p>","PeriodicalId":44939,"journal":{"name":"Heat Transfer","volume":null,"pages":null},"PeriodicalIF":3.6,"publicationDate":"2024-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140388017","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Reflection of plane waves in a rotating micropolar double porous thermoelastic medium with temperature dependent properties 具有温度相关特性的旋转微波双多孔热弹性介质中的平面波反射
IF 3.6 Q1 Chemical Engineering Pub Date : 2024-03-21 DOI: 10.1002/htj.23046
Sandeep Singh Sheoran, Kapil Kumar Kalkal, Shilpa Chaudhary

The objective of this empirical investigation is to explore the behavior of different waves reflected in a homogenous isotropic double porous structured micropolar thermoelastic medium with rotation and temperature-dependent characteristics. Three-phase-lag theory of thermoelasticity is adopted to acquire the governing equations of the model. Six coupled plane waves have been found to propagate across the medium at distinct velocities. Derivation for energy and amplitude ratios of reflected waves were carried out by employing appropriate boundary conditions. For different angles of incidence, the outcomes for energy partition were determined numerically and displayed graphically. It is found that amplitude ratios associated with various reflected waves are affected by angular velocity, temperature-dependent properties, micropolar parameter, and double porosity. Also, it has been discovered that throughout the reflection phenomena there is no dissipation of energy. Furthermore, this study concludes with a summary of the findings and subsequent observations. The current investigation has yielded inferences regarding specific cases that are of particular interest.

本实证研究的目的是探索在具有旋转和温度相关特性的均质各向同性双多孔结构微波热弹性介质中反射的不同波的行为。采用热弹性三相滞后理论来获取模型的控制方程。发现六种耦合平面波以不同的速度在介质中传播。通过采用适当的边界条件,对反射波的能量和振幅比进行了推导。对于不同的入射角,用数值确定了能量分配的结果,并以图形显示。研究发现,与各种反射波相关的振幅比受到角速度、温度相关特性、微波参数和双孔率的影响。此外,还发现在整个反射现象中没有能量耗散。此外,本研究还总结了研究结果和后续观察。目前的调查得出了与特定情况有关的推论,这些推论尤其引人关注。
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引用次数: 0
Influence of a magnetic field on double-diffusive convection in an inclined porous layer 磁场对倾斜多孔层中双扩散对流的影响
IF 3.6 Q1 Chemical Engineering Pub Date : 2024-03-18 DOI: 10.1002/htj.23045
Ravi Ragoju

The present study investigates the impact of a magnetic field on double-diffusive convection in an inclined porous layer, employing linear instability theory. The perturbed state is solved using the normal mode technique, and the stability eigenvalue problem is numerically analyzed for longitudinal and traveling rolls using the Runge-Kutta method coupled with the shooting method. Various dimensionless physical parameters, including solutal and thermal Rayleigh numbers, inclination angle, Hartmann number, and Lewis number, are examined for their influence on system stability. The findings reveal that, for � � L� � e� � <� � 1 $Lelt 1$, the Hartmann number, solute Rayleigh number, and inclination angle act as stabilizing factors, with greater stability observed for traveling rolls compared to longitudinal rolls. In the case of � � L� � e� � =� � 1 $Le=1$, the critical Rayleigh number shows a monotonic relationship with the solute Rayleigh number and inclination angle, while its relationship with the Hartmann number is non-monotonic for traveling rolls. Moreover, for � � L� � e� � >� � 1 $Legt 1$, the Hartmann number stabilizes the system by raising the onset threshold value, favouring longitudinal modes. The solute Rayleigh number also contributes to system stability. The impact of the inclination angle on system stability is contingent upon its magnitude, with small angles favouring the stability of longitudinal rolls and larger angles leading to an initial transition from traveling to longitudinal rolls, indicating a complex non-monotonic behavior.

本研究采用线性不稳定性理论,研究了磁场对倾斜多孔层中双扩散对流的影响。扰动状态采用法模技术求解,稳定性特征值问题采用 Runge-Kutta 法和射击法对纵滚和横滚进行数值分析。研究了各种无量纲物理参数对系统稳定性的影响,包括溶解和热雷利数、倾角、哈特曼数和路易斯数。研究结果表明,对于Ⅳ,哈特曼数、溶质雷利数和倾角是稳定因素,与纵向辊相比,行进辊的稳定性更高。对于Ⅳ型轧辊,临界雷利数与溶质雷利数和倾角呈单调关系,而对于行向轧辊,临界雷利数与哈特曼数的关系是非单调的。此外,对于 ,哈特曼数通过提高起始临界值来稳定系统,有利于纵向模式。溶质雷利数也有助于系统稳定。倾角对系统稳定性的影响取决于倾角的大小,小倾角有利于纵向滚动的稳定性,而大倾角则会导致从行进滚动到纵向滚动的初始过渡,这表明了一种复杂的非单调行为。
{"title":"Influence of a magnetic field on double-diffusive convection in an inclined porous layer","authors":"Ravi Ragoju","doi":"10.1002/htj.23045","DOIUrl":"10.1002/htj.23045","url":null,"abstract":"<p>The present study investigates the impact of a magnetic field on double-diffusive convection in an inclined porous layer, employing linear instability theory. The perturbed state is solved using the normal mode technique, and the stability eigenvalue problem is numerically analyzed for longitudinal and traveling rolls using the Runge-Kutta method coupled with the shooting method. Various dimensionless physical parameters, including solutal and thermal Rayleigh numbers, inclination angle, Hartmann number, and Lewis number, are examined for their influence on system stability. The findings reveal that, for <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 \u0000 <mrow>\u0000 <mi>L</mi>\u0000 \u0000 <mi>e</mi>\u0000 \u0000 <mo>&lt;</mo>\u0000 \u0000 <mn>1</mn>\u0000 </mrow>\u0000 </mrow>\u0000 <annotation> $Lelt 1$</annotation>\u0000 </semantics></math>, the Hartmann number, solute Rayleigh number, and inclination angle act as stabilizing factors, with greater stability observed for traveling rolls compared to longitudinal rolls. In the case of <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 \u0000 <mrow>\u0000 <mi>L</mi>\u0000 \u0000 <mi>e</mi>\u0000 \u0000 <mo>=</mo>\u0000 \u0000 <mn>1</mn>\u0000 </mrow>\u0000 </mrow>\u0000 <annotation> $Le=1$</annotation>\u0000 </semantics></math>, the critical Rayleigh number shows a monotonic relationship with the solute Rayleigh number and inclination angle, while its relationship with the Hartmann number is non-monotonic for traveling rolls. Moreover, for <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 \u0000 <mrow>\u0000 <mi>L</mi>\u0000 \u0000 <mi>e</mi>\u0000 \u0000 <mo>&gt;</mo>\u0000 \u0000 <mn>1</mn>\u0000 </mrow>\u0000 </mrow>\u0000 <annotation> $Legt 1$</annotation>\u0000 </semantics></math>, the Hartmann number stabilizes the system by raising the onset threshold value, favouring longitudinal modes. The solute Rayleigh number also contributes to system stability. The impact of the inclination angle on system stability is contingent upon its magnitude, with small angles favouring the stability of longitudinal rolls and larger angles leading to an initial transition from traveling to longitudinal rolls, indicating a complex non-monotonic behavior.</p>","PeriodicalId":44939,"journal":{"name":"Heat Transfer","volume":null,"pages":null},"PeriodicalIF":3.6,"publicationDate":"2024-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140233418","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Nonisothermal analysis of two uniform boundary layer shear flows 两个均匀边界层剪切流的非等温分析
IF 3.6 Q1 Chemical Engineering Pub Date : 2024-03-18 DOI: 10.1002/htj.23043
Sana Goher, Zaheer Abbas, Muhammad Yousuf Rafiq, Muhammad Sajid

The heat transfer phenomenon on the multiphase flows plays an imperative role in several biological and industrial processes, like the oil production industries, catalytic reactors, energy losses in several thermal systems, energy storage, paper manufacture, and heat exchanger systems. Therefore, this study scrutinized the heat transfer characteristic between two uniform boundary layer shear flows with different strengths flowing in the same direction. This problem involves the simulation of the convergence of boundary layers with varying shear strengths. The nonlinear differential system is scrutinized and converted into dimensionless ordinary differential equations by employing appropriate dimensionless variables. The resulting set of highly nonlinear ordinary differential equations is resolved numerically utilizing the Matlab solver “bvp4c.” The resulting numerical solutions are used to construct graphs that illustrate and elucidate the impact of numerous physical parameters on flow patterns. For both fluids, results for the Nusselt number and shear stress are also presented graphically for various parameters. The acquired results demonstrate that the velocity profile upsurges for both upper and lower fluids by enhancing the shear parameter. Furthermore, the number of streamlines is enhanced by augmenting the values of the viscosities ratio parameter. The present problem applies to the trailing edge flow over a thin airfoil with camber.

多相流的传热现象在一些生物和工业过程中起着至关重要的作用,如石油生产工业、催化反应器、一些热力系统中的能量损失、能量储存、造纸和热交换器系统。因此,本研究仔细研究了沿同一方向流动的两个强度不同的均匀边界层剪切流之间的传热特性。该问题涉及不同剪切强度边界层收敛的模拟。通过采用适当的无量纲变量,对非线性微分方程系统进行了仔细研究,并将其转换为无量纲常微分方程。利用 Matlab 求解器 "bvp4c "对所得到的高度非线性常微分方程组进行数值求解。所得到的数值解用于构建图表,以说明和阐明众多物理参数对流动模式的影响。对于这两种流体,努塞尔特数和剪切应力的结果也以图表形式显示了各种参数。获得的结果表明,通过提高剪切力参数,上层和下层流体的速度曲线都会上升。此外,增加粘度比参数值也会增加流线数量。本问题适用于带外倾的薄机翼上的后缘流。
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引用次数: 0
期刊
Heat Transfer
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