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Thermal Diffusion Effect Analysis of Micropolar Nanofluid Flowing on Inclined Surface: A Chemical Engineering Case Study
IF 2.8 Q2 THERMODYNAMICS Pub Date : 2025-01-30 DOI: 10.1002/htj.23297
B. Shankar Goud, Wasim Jamshed, Hijaz Ahmad, Rabia Safdar, Siti Suzilliana Putri Mohamed Isa, Syed M. Hussain, Mustafa Bayram, G. Dharmaiah

This investigation was carried out to study the microrotational flow of nanoliquids across an extensible surface. The dispersion of nanomaterials in everyday liquids is becoming a major focus of nanotechnology. Dispersing nanoparticles in a conventional liquid increases its thermal conductivity, which is useful for both generating and transferring energy. The primary focus of this study has been on energy transportation. Thermal radiations and Soret implications were used in this investigation. The Soret impacts are also taken into account. Here, the numerical research is based on the Buongiorno model. Using suitable similarity conversions, the flow mathematical equations are converted into the nonlinear ordinary differential equations. This study makes use of the popular numerical bvp4c method. Graphs and tables are used to illustrate the physical quantities, which include a number of impacts that are caused by the constraints of the component. The key findings are that high magnetic field factor, thermophoresis factor, Brownian motion factor, and radiation factor cause high-temperature distribution. Moreover, thermophoresis and Brownian motion factors are responsible for enhancing the variation of Nusselt and Sherwood numbers. The growth in Nusselt number is controlled by the material factor, Lewis number, radiation factor, Soret number, and inclination angle. The presence of thermophoresis parameter, radiation factor, and inclination angle generate growth in Sherwood number.

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引用次数: 0
Sheaf Attention–Based Osprey Spiking Neural Network for Effective Thermal Management and Self-Heating Mitigation in GaAs and GaN HEMTs 用于砷化镓和氮化镓 HEMT 中有效热管理和自发热缓解的基于晶片注意力的鱼鹰尖峰神经网络
IF 2.8 Q2 THERMODYNAMICS Pub Date : 2025-01-30 DOI: 10.1002/htj.23294
Preethi Elizabeth Iype, V. Suresh Babu, Geenu Paul

This research introduces the sheaf attention–based osprey spiking neural network (SA-OSNN) to optimize the thermal performance of GaAs and GaN high electron mobility transistors (HEMTs), which are critical for radio frequency and microwave circuits due to their excellent electron characteristics. By integrating modified osprey optimization, the SA-OSNN approach enhances thermal management by dynamically adjusting model parameters in response to changing environmental conditions, ensuring efficient and effective thermal control. This method is used as an optimization tool that works in conjunction with established thermal management solutions, such as GaN, SiC, and AlN materials, which provide the physical properties necessary for effective heat dissipation. This analysis covers a temperature between −100°C and 200°C, examining frequencies up to 50 GHz validating the accuracy and reliability for GaAs and GaN HEMT thermal optimization. Overall, this research achieves a minimum error of 5.97834e−01 and 6.01251e−05. Also, SA-OSNN achieves an accuracy of 97% with better performances than existing methods.

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引用次数: 0
Fluid-Structure Interaction and Heat Transfer Characteristics of a Thin Flexible Heater Submersed in Non-Newtonian Fluids Inside a Shear-Driven Cavity
IF 2.8 Q2 THERMODYNAMICS Pub Date : 2025-01-29 DOI: 10.1002/htj.23293
Asif Shorforaj Chowdhury, Mohtasim Saib Nahin, Md. Sameem Ul Qaum, Fahim Tanfeez Mahmood, Mohammad Nasim Hasan

This study examines fluid-structure interaction (FSI)–induced flow and heat transfer phenomena in a double-sided shear-driven, that is, lid-driven cavity filled with non-Newtonian power-law fluids. A flexible thin heater positioned at the center of the cavity serves as the heat source, while the moving side walls maintained at constant low temperature perform as a heat sink. The numerical approach adopts the finite element Galerkin method, integrating the Arbitrary Lagrangian–Eulerian framework with moving mesh technique to solve the associated flow, thermal, and stress fields. The thermoelastodynamic system behavior is analyzed through streamline, isothermal, and heater deformation visualizations, along with an evaluation of heat transfer performance, namely, the average Nusselt number. FSI-induced internal stress scenario in the heater is also studied in terms of maximum von Mises stress. Variation of system conditions necessarily includes mixed convection strength, shearing effect, fluid rheology, and flexibility of the heater manifested by four governing system parameters, namely, the Richardson number (0.1 ≤ Ri ≤ 10), Reynolds number (100 ≤ Re ≤ 300), power-law index (0.6 ≤ n ≤ 1.4), and Cauchy number (10⁻⁴ ≤ Ca ≤ 10⁻⁸). The findings of this study reveal a significant improvement in heat transfer for shear-thinning fluids, with the most notable enhancement occurring at the highest Richardson number (Ri), where the heat transfer rate shows an increase of up to 33.33% compared with Newtonian fluids. The insights of this study might be helpful in heat transfer enhancement of industrial process equipment, particularly in applications such as food processing, electronics cooling, and chemical engineering, where non-Newtonian fluids are extensively used in reactors and related thermofluid systems.

本研究探讨了在充满非牛顿幂律流体的双面剪切驱动空腔(即盖子驱动空腔)中,由流体与结构相互作用(FSI)引起的流动和传热现象。位于空腔中心的柔性薄加热器充当热源,而保持恒定低温的移动侧壁则充当散热器。数值方法采用有限元 Galerkin 方法,将任意拉格朗日-欧勒框架与移动网格技术相结合,以求解相关的流场、热场和应力场。通过流线、等温和加热器变形可视化分析了热-流体动力学系统的行为,同时评估了传热性能,即平均努塞尔特数。还根据最大 von Mises 应力研究了 FSI 在加热器中引起的内应力情况。系统条件的变化必然包括混合对流强度、剪切效应、流体流变性和加热器的柔韧性,这体现在四个调节系统参数上,即理查德森数(0.1 ≤ Ri ≤ 10)、雷诺数(100 ≤ Re ≤ 300)、幂律指数(0.6 ≤ n ≤ 1.4)和考奇数(10-⁴ ≤ Ca ≤ 10-⁸)。研究结果表明,剪切稀化流体的传热效果明显改善,最显著的改善发生在理查德森数(Ri)最高的情况下,与牛顿流体相比,传热速率增加了 33.33%。这项研究的见解可能有助于提高工业加工设备的传热性能,特别是在食品加工、电子冷却和化学工程等应用领域,这些领域的反应器和相关热流体系统中广泛使用非牛顿流体。
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引用次数: 0
Electromagnetic and Chemical Reactions of Unsteady Viscoelastic Flow of MHD Walter's-B Through Vertical Porous Plates
IF 2.8 Q2 THERMODYNAMICS Pub Date : 2025-01-28 DOI: 10.1002/htj.23292
Karnati V. Reddy, Anjaneyulu Mekala, Donthireddy Saidireddy, Raju Nellutla

This study examines the transient magnetohydrodynamic (MHD) flow of Walter's-B viscoelastic fluid over a vertical porous plate within a porous medium, considering the effects of radiation and chemical processes. The nonlinear flow control equations are solved using a closed-loop method, producing detailed numerical solutions for velocity, temperature, and concentration profiles. Velocity decreases with increasing permeability (K), Schmidt number (Sc), radiation (R), and magnetic field strength (M). In contrast, it increases with higher Prandtl number (Pr), permeability (K), and time (t). Temperature decreases with higher radiation but rises with Prandtl number and time. Concentration decreases with higher permeability and Schmidt number but increases with time. Notably, an increase in the Brownian motion parameter enhances heat and momentum transfer, thickening the velocity and thermal boundary layers. This research has practical applications in fields, such as blood oxygenators, chemical reactors, and polymer processing industries. The novelty of the study lies in its integration of radiation, chemical processes, and MHD flows in the analysis of viscoelastic fluids, a topic that has not been widely explored in previous studies. Future research could focus on optimizing MHD Walter's-B viscoelastic flow systems, with particular attention to the effects of magnetic field strength and viscoelastic parameters on flow behavior.

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引用次数: 0
Human Skin Burn Intensity Resulting From Various Incidents Utilizing Bioheat Transfer Model: A Comparative Analogy
IF 2.8 Q2 THERMODYNAMICS Pub Date : 2025-01-26 DOI: 10.1002/htj.23291
Md. Alamgir Hossain, R. Nasrin, Eid S. Alatawi

Understanding how human skin reacts to heat is vital for effective burn prevention and treatment. This study uses a bioheat transfer model to develop a comparative analogy to differentiate burn intensity from hot dishes, hot fluids, radiation, and flash fires, aiming to differentiate the burn profiles of each incident type. The finite element method is employed to solve the time-dependent Pennes' bioheat transport equation concerning the three distinct layers of human skin. The Arrhenius equation is implemented to quantify the damage fraction associated with thermal burns. The burn intensities for the degrees of burns (first, second, and third) are evaluated by applying Henriques burn integral, considering various burning conditions and the corresponding exposure times required for each burn. The numerical results are displayed in various formats, including volume temperature plots and line graphs of damage fraction. The findings reveal that first-degree burns occur the fastest, followed by second-degree burns, with third-degree burns taking the longest to develop. Notably, burns from direct contact with a hot dish are more severe than those from freely flowing heated fluids. The results highlight that exposure time, temperature, and thermal conductivity are key factors in burn depth and tissue damage, offering valuable insights for burn treatment and risk management. The outcomes will effectively predict burn consequences, making it useful in burn injury treatment and safety engineering.

了解人体皮肤对热的反应对于有效预防和治疗烧伤至关重要。本研究利用生物热传导模型进行比较类比,以区分热菜、热流体、辐射和闪火的烧伤强度,目的是区分每种事故类型的烧伤特征。该模型采用有限元法来求解与人体皮肤三个不同层相关的时间相关彭斯生物热传输方程。阿伦尼乌斯方程用于量化与热烧伤相关的损伤程度。通过应用亨里克斯灼伤积分,考虑各种灼伤条件和每种灼伤所需的相应暴露时间,对灼伤程度(第一、第二和第三灼伤)的灼伤强度进行评估。数值结果以各种形式显示,包括体积温度图和损伤分数折线图。研究结果表明,一级烧伤的发生速度最快,其次是二级烧伤,三级烧伤的发展时间最长。值得注意的是,与自由流动的加热液体相比,直接接触热盘子造成的烧伤更为严重。研究结果表明,暴露时间、温度和导热性是影响烧伤深度和组织损伤的关键因素,为烧伤治疗和风险管理提供了宝贵的见解。这些结果将有效预测烧伤后果,使其在烧伤治疗和安全工程中发挥作用。
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引用次数: 0
Study of Heat and Mass Transfer of Transient Free Convection Through Vertical Annuli in Presence of Heat Source, Chemical Reaction, and Newtonian Heating
IF 2.8 Q2 THERMODYNAMICS Pub Date : 2025-01-24 DOI: 10.1002/htj.23283
Atul Jakhar, Anand Kumar, Vijay Kumar Sukariya,  Anurag

Newtonian heating with a heat source has applications in a variety of areas, including heat exchangers, electronic devices, nuclear reactors, gas cooling systems, ventilated rooms, and industrial processes. In the present numerical investigation, we examine the effect of Newtonian heating with an internal heat source and temperature-dependent chemical reaction on transient free convective laminar flow within a vertical annulus. The Method of Lines is employed to solve the governing partial differential equations with the appropriate boundary conditions. The numerical findings were extensively analyzed through plots and tables to demonstrate the impact of various fluid features on the concentration, temperature, and velocity profiles. It is observed that these profiles increase over time until they stabilize at a steady state. Additionally, the Schmidt and Damköhler numbers are found to reduce the concentration and velocity profiles, whereas the Richardson, Biot, and mass Grashof numbers have the opposite effect. A major investigation revealed that the Newtonian heating with heat source increases the external mass transport and gives a better control parameter.

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引用次数: 0
Understanding the Chemical Reaction, Mixed Convection, and Thermo-Diffusion Features of Non-Newtonian Fluid (Prandtl Fluid) Driven by Electroosmosis Activity via Wavy Tapered Microfluidic System
IF 2.8 Q2 THERMODYNAMICS Pub Date : 2025-01-24 DOI: 10.1002/htj.23290
Seelam Ravikumar, Bandi Reddappa, Oluwole D. Makinde

In this research, we investigate how the hall current and electroosmosis effect the rotating Eyring–Prandtl fluid flow in a wavy microchannel when mixed convection and joule heating are present. We employ the sophisticated peristaltic wave approach to construct a model that exhibits nonuniform boundaries characterized by diverse amplitudes and phases. We focus on how the walls adjust to the convective boundary conditions. To simplify the system, we used the lubrication method and the Debye–Huckel linearization technique to linearize the Poisson–Boltzmann equations. The electroosmotic parameter and the Helmholtz–Smoluchowski velocity contribute to the rise in fluid velocity. The fluid's temperature drops and its concentration rises when the joule heating parameter is raised. The temperature and concentration of the fluid showed similar patterns concerning the Biot numbers. When the reaction mechanism parameter values increase, the fluid concentration decreases because the diffusivity of the chemical molecules decreases. The Nusselt number (Nu) increases in the center of the channel as a result of the joule heating parameter. The current research on electrokinetic fluid flow through microchannels and micro-peristaltic transport has sparked immense interest in biomedical engineering. In particular, electroosmosis shows great potential in enhancing different aspects of cancer treatment, such as targeted drug delivery, improved therapeutic effectiveness, and advanced diagnostic capabilities. Specifically, in physiology, electroosmosis-based techniques can significantly enhance the precision and efficiency of drug delivery systems. By leveraging the principles of electroosmosis, targeted delivery of chemotherapeutic agents can be improved, ensuring higher concentrations of drugs reach the tumor site while minimizing systemic exposure and associated side effects. Additionally, the ability to control fluid flow at a microscale within biological tissues opens up new avenues for minimally invasive procedures, improving patient outcomes and recovery times.

{"title":"Understanding the Chemical Reaction, Mixed Convection, and Thermo-Diffusion Features of Non-Newtonian Fluid (Prandtl Fluid) Driven by Electroosmosis Activity via Wavy Tapered Microfluidic System","authors":"Seelam Ravikumar,&nbsp;Bandi Reddappa,&nbsp;Oluwole D. Makinde","doi":"10.1002/htj.23290","DOIUrl":"https://doi.org/10.1002/htj.23290","url":null,"abstract":"<div>\u0000 \u0000 <p>In this research, we investigate how the hall current and electroosmosis effect the rotating Eyring–Prandtl fluid flow in a wavy microchannel when mixed convection and joule heating are present. We employ the sophisticated peristaltic wave approach to construct a model that exhibits nonuniform boundaries characterized by diverse amplitudes and phases. We focus on how the walls adjust to the convective boundary conditions. To simplify the system, we used the lubrication method and the Debye–Huckel linearization technique to linearize the Poisson–Boltzmann equations. The electroosmotic parameter and the Helmholtz–Smoluchowski velocity contribute to the rise in fluid velocity. The fluid's temperature drops and its concentration rises when the joule heating parameter is raised. The temperature and concentration of the fluid showed similar patterns concerning the Biot numbers. When the reaction mechanism parameter values increase, the fluid concentration decreases because the diffusivity of the chemical molecules decreases. The Nusselt number (Nu) increases in the center of the channel as a result of the joule heating parameter. The current research on electrokinetic fluid flow through microchannels and micro-peristaltic transport has sparked immense interest in biomedical engineering. In particular, electroosmosis shows great potential in enhancing different aspects of cancer treatment, such as targeted drug delivery, improved therapeutic effectiveness, and advanced diagnostic capabilities. Specifically, in physiology, electroosmosis-based techniques can significantly enhance the precision and efficiency of drug delivery systems. By leveraging the principles of electroosmosis, targeted delivery of chemotherapeutic agents can be improved, ensuring higher concentrations of drugs reach the tumor site while minimizing systemic exposure and associated side effects. Additionally, the ability to control fluid flow at a microscale within biological tissues opens up new avenues for minimally invasive procedures, improving patient outcomes and recovery times.</p>\u0000 </div>","PeriodicalId":44939,"journal":{"name":"Heat Transfer","volume":"54 3","pages":"2305-2325"},"PeriodicalIF":2.8,"publicationDate":"2025-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143801667","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
Exploring Heat Transfer and Entropy Generation in a Dual Cavity System
IF 2.8 Q2 THERMODYNAMICS Pub Date : 2025-01-17 DOI: 10.1002/htj.23281
Ahmed A. Y. Al-Waaly, Akshoy Ranjan Paul, Goutam Saha, Suvash C. Saha

This study investigates heat transfer and entropy generation in a dual-cavity system filled with air, focusing on the effects of uniform and nonuniform heating conditions on natural convection. The system features heated left walls, cooled right walls, and insulated remaining walls, presenting a novel approach to thermal management. This research employs COMSOL Multiphysics and finite element method to study the interplay between Rayleigh numbers (� � 10� � 3� � � � Ra� � � � 10� � 6) and heat transfer efficiency, focusing on thermal patterns and irreversibility. The findings indicate that as Ra increases, convective heat transfer improves significantly, with the average Nusselt number rising from 15.23 at Ra = 103 to 74.61 at Ra = 106 under uniform heating conditions. However, this improvement comes at the cost of increased entropy generation, which escalates from 2.91 to 307.74, highlighting a trade-off between enhanced heat transfer and greater irreversibility. These results underscore the need to optimize Ra values to achieve a balance between thermal efficiency and entropy generation. The insights gained from this study have practical implications for designing energy-efficient cooling systems in electronics and microfluidic devices, as well as for architectural designs targeting improved thermal management.

{"title":"Exploring Heat Transfer and Entropy Generation in a Dual Cavity System","authors":"Ahmed A. Y. Al-Waaly,&nbsp;Akshoy Ranjan Paul,&nbsp;Goutam Saha,&nbsp;Suvash C. Saha","doi":"10.1002/htj.23281","DOIUrl":"https://doi.org/10.1002/htj.23281","url":null,"abstract":"<div>\u0000 \u0000 <p>This study investigates heat transfer and entropy generation in a dual-cavity system filled with air, focusing on the effects of uniform and nonuniform heating conditions on natural convection. The system features heated left walls, cooled right walls, and insulated remaining walls, presenting a novel approach to thermal management. This research employs COMSOL Multiphysics and finite element method to study the interplay between Rayleigh numbers (<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 \u0000 <mrow>\u0000 <msup>\u0000 <mn>10</mn>\u0000 \u0000 <mn>3</mn>\u0000 </msup>\u0000 \u0000 <mo>≤</mo>\u0000 \u0000 <mi>Ra</mi>\u0000 \u0000 <mo>≤</mo>\u0000 \u0000 <msup>\u0000 <mn>10</mn>\u0000 \u0000 <mn>6</mn>\u0000 </msup>\u0000 </mrow>\u0000 </mrow>\u0000 </semantics></math>) and heat transfer efficiency, focusing on thermal patterns and irreversibility. The findings indicate that as Ra increases, convective heat transfer improves significantly, with the average Nusselt number rising from 15.23 at <i>Ra</i> = 10<sup>3</sup> to 74.61 at <i>Ra</i> = 10<sup>6</sup> under uniform heating conditions. However, this improvement comes at the cost of increased entropy generation, which escalates from 2.91 to 307.74, highlighting a trade-off between enhanced heat transfer and greater irreversibility. These results underscore the need to optimize Ra values to achieve a balance between thermal efficiency and entropy generation. The insights gained from this study have practical implications for designing energy-efficient cooling systems in electronics and microfluidic devices, as well as for architectural designs targeting improved thermal management.</p>\u0000 </div>","PeriodicalId":44939,"journal":{"name":"Heat Transfer","volume":"54 3","pages":"2279-2292"},"PeriodicalIF":2.8,"publicationDate":"2025-01-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143801752","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
Analytical Solution and Energy Behavior to a Forced Shock Wave Problem Under Dusty Gas Regime
IF 2.8 Q2 THERMODYNAMICS Pub Date : 2025-01-15 DOI: 10.1002/htj.23284
Ram Asrey Gautam, Triloki Nath

In the presented research work, we have solved a new kind of problem of forced shock waves in a compressible inviscid perfect gas having dirty (dust) particles of small size in a one-dimensional unsteady adiabatic flow. The approach that we have used is referred to as the generalized geometry approach. Here, we investigated how the density of the zone, which is undisturbed, changes as a function of the position from the point of the source of explosion. In addition, we have obtained analytically a novel solution to the problem in the form of a new rule of power of time and distance. Further, we have investigated the energy behavior of forced shock waves and interaction within the environment containing dust particles. Also, the behavior of the entire energy of a forced shock wave is expounded at different Mach numbers, respectively, for planar geometry, cylindrically symmetric geometry, and spherically symmetric geometry under a dusty gas medium. Furthermore, the findings show that dust particles in a gas produce a more sophisticated representation rather than the standard gas dynamics.

{"title":"Analytical Solution and Energy Behavior to a Forced Shock Wave Problem Under Dusty Gas Regime","authors":"Ram Asrey Gautam,&nbsp;Triloki Nath","doi":"10.1002/htj.23284","DOIUrl":"https://doi.org/10.1002/htj.23284","url":null,"abstract":"<div>\u0000 \u0000 <p>In the presented research work, we have solved a new kind of problem of forced shock waves in a compressible inviscid perfect gas having dirty (dust) particles of small size in a one-dimensional unsteady adiabatic flow. The approach that we have used is referred to as the generalized geometry approach. Here, we investigated how the density of the zone, which is undisturbed, changes as a function of the position from the point of the source of explosion. In addition, we have obtained analytically a novel solution to the problem in the form of a new rule of power of time and distance. Further, we have investigated the energy behavior of forced shock waves and interaction within the environment containing dust particles. Also, the behavior of the entire energy of a forced shock wave is expounded at different Mach numbers, respectively, for planar geometry, cylindrically symmetric geometry, and spherically symmetric geometry under a dusty gas medium. Furthermore, the findings show that dust particles in a gas produce a more sophisticated representation rather than the standard gas dynamics.</p>\u0000 </div>","PeriodicalId":44939,"journal":{"name":"Heat Transfer","volume":"54 3","pages":"2265-2278"},"PeriodicalIF":2.8,"publicationDate":"2025-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143801907","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
Soret-Induced Convection in a Layered Porous Medium Simulating an Anticlinal Geological Fold Under the Action of a Geothermal Temperature Gradient 地热温度梯度作用下模拟反褶地质褶皱的层状多孔介质中的褶皱诱导对流
IF 2.8 Q2 THERMODYNAMICS Pub Date : 2025-01-13 DOI: 10.1002/htj.23289
Tatyana Lyubimova, Ivan Shubenkov, Nadezhda Ozhgibesova

The paper is devoted to the investigation of three-dimensional Soret-induced convection in a three-layer porous system imitating an anticlinal geological fold, under the influence of a geothermal temperature gradient. The layer porosities are the same and the permeabilities are different. The mixture of tetralin and dodecane is considered as a fluid saturating the porous medium. First, we study the linear stability of the motionless state of a binary mixture in an inclined porous layer under the vertical temperature gradient. It is found that at any layer inclination angle, the most dangerous disturbances are longitudinal rolls with finite wave numbers in perpendicular direction. With the system parameters under consideration, the presence of an impurity can change the convection threshold in both directions depending on the layer inclination angle. The threshold change can reach 26%. Nonlinear calculations are performed for fixed permeabilities of the external layers, lower than the threshold value according to the linear theory. Calculations have shown that after a long period of time from the beginning of the process (about 500 years or more for lower permeabilities), a flow arises. The development of a steady flow occurs over a long period of up to 6000 years. It is found that at small permeabilities of all layers, arising flow has a longwave character. With the increase of permeability of the middle layer (higher than � � K� � 2� � =� � 2� � ·� � 10� � � � 13� � m� � 2), the flow in the plane of a geological fold limbs takes the form of longitudinal rolls and in the perpendicular direction the flow structure becomes multicellular, this flow structure well corresponds to the linear stability results. The flow is localized in the middle layer and significantly influences the concentration field.

{"title":"Soret-Induced Convection in a Layered Porous Medium Simulating an Anticlinal Geological Fold Under the Action of a Geothermal Temperature Gradient","authors":"Tatyana Lyubimova,&nbsp;Ivan Shubenkov,&nbsp;Nadezhda Ozhgibesova","doi":"10.1002/htj.23289","DOIUrl":"https://doi.org/10.1002/htj.23289","url":null,"abstract":"<div>\u0000 \u0000 <p>The paper is devoted to the investigation of three-dimensional Soret-induced convection in a three-layer porous system imitating an anticlinal geological fold, under the influence of a geothermal temperature gradient. The layer porosities are the same and the permeabilities are different. The mixture of tetralin and dodecane is considered as a fluid saturating the porous medium. First, we study the linear stability of the motionless state of a binary mixture in an inclined porous layer under the vertical temperature gradient. It is found that at any layer inclination angle, the most dangerous disturbances are longitudinal rolls with finite wave numbers in perpendicular direction. With the system parameters under consideration, the presence of an impurity can change the convection threshold in both directions depending on the layer inclination angle. The threshold change can reach 26%. Nonlinear calculations are performed for fixed permeabilities of the external layers, lower than the threshold value according to the linear theory. Calculations have shown that after a long period of time from the beginning of the process (about 500 years or more for lower permeabilities), a flow arises. The development of a steady flow occurs over a long period of up to 6000 years. It is found that at small permeabilities of all layers, arising flow has a longwave character. With the increase of permeability of the middle layer (higher than <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 \u0000 <mrow>\u0000 <msub>\u0000 <mi>K</mi>\u0000 \u0000 <mn>2</mn>\u0000 </msub>\u0000 \u0000 <mo>=</mo>\u0000 \u0000 <mn>2</mn>\u0000 \u0000 <mo>·</mo>\u0000 \u0000 <msup>\u0000 <mn>10</mn>\u0000 \u0000 <mrow>\u0000 <mo>−</mo>\u0000 \u0000 <mn>13</mn>\u0000 </mrow>\u0000 </msup>\u0000 <mspace></mspace>\u0000 \u0000 <msup>\u0000 <mi>m</mi>\u0000 \u0000 <mn>2</mn>\u0000 </msup>\u0000 </mrow>\u0000 </mrow>\u0000 </semantics></math>), the flow in the plane of a geological fold limbs takes the form of longitudinal rolls and in the perpendicular direction the flow structure becomes multicellular, this flow structure well corresponds to the linear stability results. The flow is localized in the middle layer and significantly influences the concentration field.</p>\u0000 </div>","PeriodicalId":44939,"journal":{"name":"Heat Transfer","volume":"54 3","pages":"2251-2264"},"PeriodicalIF":2.8,"publicationDate":"2025-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143801610","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
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Heat Transfer
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