Heat Transfer最新文献

{"title":"Investigating the Magnetohydrodynamic Convection of Viscous Fluid in Porous Media With the Effect of Heat Loss and Velocity Slip","authors":"Oluwabunmi Boyede Okedare,&nbsp;Sulyman Olakunle Salawu,&nbsp;Emmanuel Idowu Akinola","doi":"10.1002/htj.70280","DOIUrl":"https://doi.org/10.1002/htj.70280","url":null,"abstract":"<div>\u0000 \u0000 <p>The reaction of fluids becomes more complicated when magnetic fields, heat transfer, and porous materials are involved as applied in thermal systems, heat exchangers, engineering devices, and others. Thus, this study investigates convective magnetohydrodynamic (MHD) viscous flow through a porous medium, focusing on how boundary slip and thermal energy loss influence fluid motion and heat transport. This research examines the combined effects of magnetic forces, porous structures, and slip conditions, highlighting the importance in the design and optimization of thermofluid systems. With the help of similarity transformations, the governing nonlinear equations are reduced and solved numerically using a shooting algorithm integrated with a fourth-order Runge–Kutta procedure. The key parameters include magnetic intensity, viscous dissipation, and permeability of the porous medium which significantly affect the resulting velocity and temperature distributions. The findings demonstrate that adjusting slip conditions and heat-loss mechanisms provides a practical approach for controlling convective MHD transport in porous environments. The results are relevant to applications such as cooling of high-temperature devices, geothermal energy systems, enhanced oil recovery, and magnetically influenced heat-exchange technologies.</p>\u0000 </div>","PeriodicalId":44939,"journal":{"name":"Heat Transfer","volume":"55 6","pages":"3694-3703"},"PeriodicalIF":2.7,"publicationDate":"2026-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148696314","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}

{"title":"Suction/Injection Analysis of MHD Bioconvective Casson Fluid Flow Over a Darcy–Forchheimer Porous Stretching Sheet With Thermal Radiation, Double Diffusion, and Ohmic–Viscous Dissipation Effects","authors":"Kanwal Jabeen,&nbsp;Ansa Liaquat","doi":"10.1002/htj.70278","DOIUrl":"https://doi.org/10.1002/htj.70278","url":null,"abstract":"&lt;div&gt;\u0000 \u0000 &lt;p&gt;This study examines the magnetohydrodynamic (MHD) flow of a Casson nanofluid over a permeable stretching sheet incorporating the combined influence of suction/injection, ohmic and viscous dissipation, thermal radiation, and Arrhenius activation energy. The Cattaneo-Christov double diffusion model is employed to capture non-Fourier heat and mass flux behavior. The presence of gyrotactic microorganisms introduces bioconvection effects, enhancing the practical relevance of the model to biological and industrial systems including coolant design, bioreactors, drug delivery, biomedical engineering, thermal management, and environmental remediation. The governing nonlinear partial differential equations are transformed to a system of coupled ordinary differential equations via appropriate similarity transformations. The resulting boundary value problem is solved numerically using the MATLAB built-in solver bvp4c with a relative tolerance of &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 \u0000 &lt;mrow&gt;\u0000 &lt;mn&gt;1&lt;/mn&gt;\u0000 \u0000 &lt;msup&gt;\u0000 &lt;mn&gt;0&lt;/mn&gt;\u0000 \u0000 &lt;mrow&gt;\u0000 &lt;mo&gt;−&lt;/mo&gt;\u0000 \u0000 &lt;mn&gt;7&lt;/mn&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;/msup&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; and Runge-Kutta Fehlberg(RKF) method using Maple software that uses &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 \u0000 &lt;mrow&gt;\u0000 &lt;msup&gt;\u0000 &lt;mn&gt;4&lt;/mn&gt;\u0000 \u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;t&lt;/mi&gt;\u0000 \u0000 &lt;mi&gt;h&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;/msup&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; to &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 \u0000 &lt;mrow&gt;\u0000 &lt;msup&gt;\u0000 &lt;mn&gt;5&lt;/mn&gt;\u0000 \u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;t&lt;/mi&gt;\u0000 \u0000 &lt;mi&gt;h&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;/msup&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt;-order RKF numerical quadrature as a default method. Results are validated against two previously published studies. The influence of key parameters–including the magnetic parameter, Eckert number, Prandtl number, Schmidt number, Lewis number, Péclet number, and Arrhenius activation energy on the velocity, temperature, concentration, and microorganism density profiles is examined graphically and tabularly. It is found that increasing the magnetic parameter suppresses the","PeriodicalId":44939,"journal":{"name":"Heat Transfer","volume":"55 6","pages":"3643-3672"},"PeriodicalIF":2.7,"publicationDate":"2026-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148696353","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}

{"title":"Analysis of FHD Flow and Advanced Thermal Management in Rotating Disk Mechanisms Under Radiative Heat Source Interactions Using an SOR–ANN Hybrid Scheme","authors":"Amar Rauf,&nbsp;Tahir Mushtaq,&nbsp;Fatima Waheed,&nbsp;Sabir Ali Shehzad,&nbsp;Tariq Hussain,&nbsp;Muhammad Kamran Siddiq","doi":"10.1002/htj.70273","DOIUrl":"https://doi.org/10.1002/htj.70273","url":null,"abstract":"<div>\u0000 \u0000 <p>Viscosity plays a fundamental role in regulating momentum transfer and energy transport in ferrohydromagnetic (FHD) fluids system, where the alignment of nanoparticles under external magnetic field induces field-modulated rheological mechanism. In light of the above observations, the objective of the current study is to examines the FHD boundary layer behavior of electrically non-conducting magnetic fluid past a radially stretchable rotating disk which is embedded in a porous medium. The thermal flow behavior is influenced by the synergistic effects of non-linear thermal radiation and non-uniform heat source/sink. The steady, incompressible, axi-symmetric, three-dimensional mathematical model of governing non-linear partial differential equations are reformulated as a system of coupled non-linear ordinary differential equations by using appropriate similarity transformations. The resultant system of transport equations is discretized through forward and central finite difference approximations and then handled iteratively by applying successive over relaxation technique. It is observed that the radial velocity field exhibits dual behavior against magnetic field dependent viscosity parameter. The temperature field manifested an enhancement in the boundary layer region for temperature ratio parameter and non-uniform heat source/sink parameter. A feed-forward multilayer neural network based on backpropagation algorithm of Artificial Neural Networks (ANNs) is deployed on shear stresses, and Nusselt number for a comprehensive assessment between the ANNs predicted values and the actual data against influential parameters. The findings suggest that ANN indicates significant accuracy over the range of physical parameters so that the prediction errors continuously stay within the range of <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 \u0000 <mrow>\u0000 <msup>\u0000 <mn>10</mn>\u0000 \u0000 <mrow>\u0000 <mo>−</mo>\u0000 \u0000 <mn>5</mn>\u0000 </mrow>\u0000 </msup>\u0000 </mrow>\u0000 </mrow>\u0000 </semantics></math> or less which reveals the ANN potential to replicate the momentum and thermal transport mechanism.</p>\u0000 </div>","PeriodicalId":44939,"journal":{"name":"Heat Transfer","volume":"55 6","pages":"3577-3591"},"PeriodicalIF":2.7,"publicationDate":"2026-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148696008","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}

{"title":"Thermal Management of Automotive Brake Discs: A Computational Fluid Dynamic Approach to Aerodynamic Cooling","authors":"Mohamed Ben Jamel Haddar,&nbsp;Ahmed Ghorbel,&nbsp;Fathi Djemal,&nbsp;Mohamed Haddar,&nbsp;Mounir Baccar","doi":"10.1002/htj.70275","DOIUrl":"https://doi.org/10.1002/htj.70275","url":null,"abstract":"<div>\u0000 \u0000 <p>Thermal management of automotive brake discs is critical, as excessive heat generation can degrade braking performance and reduce component lifespan. In this study, computational fluid dynamics (CFD) is used to evaluate the aerodynamic cooling performance of four disc configurations: standard full rotor (SFR), diamonds and tear drop pillars (DTDP), X-shaped fins (X), and a novel Y-shaped fin design (Λ). The analysis examines airflow behavior and heat dissipation through velocity, pressure, and temperature fields. Among the designs, the Λ configuration demonstrates the most effective cooling, achieving a maximum air velocity of 14.16 m.s⁻¹, 33% higher than DTDP, and a mass flow rate of 0.525 g.s⁻¹, 11% higher than DTDP and 50% higher than X. Correspondingly, temperature distributions indicate reduced hot spots and improved thermal uniformity. The average heat transfer coefficient (HTC) for Λ is 21 W.m⁻².K⁻¹, reflecting a 24% improvement over SFR and 7% over DTDP, while the total dissipated heat (TDH) reaches approximately 1750 W, 59% higher than SFR, 35% higher than X, and showing a marginal improvement over DTDP. These findings confirm that the Λ-shaped fin design substantially enhances convective cooling, positioning it as a promising solution for next-generation brake disc thermal management.</p>\u0000 </div>","PeriodicalId":44939,"journal":{"name":"Heat Transfer","volume":"55 6","pages":"3606-3615"},"PeriodicalIF":2.7,"publicationDate":"2026-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148696064","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}

{"title":"Soret Effects on Triple-Diffusive Convection With Parabolic and Inverted Parabolic Temperature Gradients","authors":"Basavarajappa Komala,&nbsp;Ramakrishna Sumithra","doi":"10.1002/htj.70276","DOIUrl":"https://doi.org/10.1002/htj.70276","url":null,"abstract":"<div>\u0000 \u0000 <p>The role of the Soret parameter in the onset of triple-diffusive convection in a fluid-porous composite system, with parabolic and inverted parabolic nonuniform temperature gradients, is assessed. The composite structure with the porous layer being modeled using the Darcy–Brinkman framework is assumed to have adiabatic, solute-impermeable, and rigid–rigid boundary states. The stability of the system, driven by temperature and solute gradients, along with the Soret effect, is effectively characterized through the analytical determination of the critical thermal Rayleigh number using regular perturbation techniques. The effect of different physical attributes on the stability of the system is evaluated through graphical analysis. It is observed that the Soret parameter of fluid and porous structure, solute Rayleigh numbers of the two concentrations considered, and thermal diffusivities in the fluid layer contribute to stabilizing the system; on the other hand, the thermal diffusivity ratios of the porous layer and the Darcy number exhibit a destabilizing effect on the onset of triple-diffusive convection within the composite structure.</p>\u0000 </div>","PeriodicalId":44939,"journal":{"name":"Heat Transfer","volume":"55 6","pages":"3616-3630"},"PeriodicalIF":2.7,"publicationDate":"2026-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148696554","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}

{"title":"Geometric Optimization of Internal Fins for Improved Melting Performance of Nano-Enhanced PCM in Thermal Energy Storage Systems","authors":"Ilias Benyahia,&nbsp;Aissa Abderrahmane,&nbsp;Abed Mourad,&nbsp;Murdhy A. Aldawsari,&nbsp;Yahia M. Sharief,&nbsp;Obai Younis","doi":"10.1002/htj.70266","DOIUrl":"https://doi.org/10.1002/htj.70266","url":null,"abstract":"<div>\u0000 \u0000 <p>Recent interest in the use of nano-enhanced phase change materials (Ne-PCMs) for thermal energy storage (TES) has increased due to their improved thermophysical properties. A promising method to enhance their thermal conductivity is to incorporate an innovative fin geometry that accelerates melting (MP). Here, we study the thermal performance of six varieties of fins in a latent heat storage unit filled with copper nanoparticle-enhanced paraffin wax. Three configurations use T-shaped fins, while the other three incorporate fins tilted at 45°. The melting front and heat transfer (HT) were simulated using a numerical code that solved the enthalpy-porosity approach. We focus on the evolution of mean temperature, liquid fraction, Bejan (Be) number, and stored thermal energy. Among all configurations, Case 3, which used optimal T-fins, exhibited the fastest thermal response, with a total melting time reduced by 31.91% compared to the reference design (Case 1). Furthermore, the inclined fins in Cases 4, 5, and 6 were found to delay the MP, increasing the required time by 91.7%, 80%, and 56.25%, respectively, relative to their non-tilted counterparts. These results highlight the superior performance of Case 3, which is recommended as the optimal fin design for enhancing the efficiency of Ne-PCM TES systems.</p>\u0000 </div>","PeriodicalId":44939,"journal":{"name":"Heat Transfer","volume":"55 6","pages":"3469-3481"},"PeriodicalIF":2.7,"publicationDate":"2026-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148695754","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}

{"title":"Theoretical Exploration of Thermal and Solutal Transport in Unsteady Magnetohydrodynamic Flow Past a Vertical Porous Plate With Internal Friction, Radiation, and Thermodiffusion Effect","authors":"Komaravolu Venkata Bala Rajakumar,&nbsp;Tangudu Govinda Rao,&nbsp;Kuppareddy Subramanyam Balamurugan","doi":"10.1002/htj.70272","DOIUrl":"https://doi.org/10.1002/htj.70272","url":null,"abstract":"<div>\u0000 \u0000 <p>This study investigates heat and mass transfer characteristics of an unsteady magnetohydrodynamic (MHD) flow past a vertical porous plate, including the effects of viscous dissipation, thermal radiation, and thermodiffusion. The governing equations for momentum, energy, and concentration are formulated in dimensionless form and solved using a multiple perturbation method. Approximate solutions for the velocity, temperature, and concentration fields are obtained. The influence of pertinent physical parameters such as magnetic field strength, radiation parameter, viscous dissipation, and thermodiffusion on the transport characteristics is examined through graphical and numerical analyses. The results show that thermodiffusion enhances mass transfer, while viscous dissipation increases the fluid temperature. It is also observed that higher thermal radiation reduces the rate of heat transfer at the plate. The present analysis is relevant to heat and mass transfer processes in MHD flows encountered in engineering and industrial applications.</p>\u0000 </div>","PeriodicalId":44939,"journal":{"name":"Heat Transfer","volume":"55 6","pages":"3560-3576"},"PeriodicalIF":2.7,"publicationDate":"2026-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148696007","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}

{"title":"Double-Diffusive Natural Convection in a Pear-Shaped Enclosure With Nano-Encapsulated Phase-Change Materials","authors":"Murdhy A. Aldawsari,&nbsp;Abed Mourad,&nbsp;Aissa Abderrahmane,&nbsp;Obai Younis","doi":"10.1002/htj.70262","DOIUrl":"https://doi.org/10.1002/htj.70262","url":null,"abstract":"<div>\u0000 \u0000 <p>This study presents a comprehensive numerical investigation of double-diffusive natural convection in a pear-shaped enclosure containing nano-encapsulated phase-change materials (NEnPCMs). Internally heated fins are present within the enclosure and are subject to various thermal and solutal boundary conditions. The influences of the important dimensionless parameters Rayleigh number (<i>Ra</i> = 10³–10⁶), Darcy number (<i>Da</i> = 10⁻⁵–10⁻²), Hartmann number (<i>Ha</i> = 0–100), Lewis number (<i>Le</i> = 0.1–10), and fin length (XF = 0–0.2) are presented in clear detail to facilitate understanding of the performance in terms of heat and mass transport. Results indicate that as <i>Ra</i> increases, convective forces increase, leading to a higher average Nusselt number (<i>Nu</i>_avg) from 10.737 to 11.569 and the average Sherwood number (<i>Sh</i>_avg) from 98.376 to 106.32. A further increase in <i>Da</i> would switch the system from conduction to convection, thereby distorting isotherms and concentration fields considerably. The applied magnetic field suppresses fluid motion, which in turn reduces <i>Nu</i>_avg and shifts the transport regime toward diffusion. Increasing <i>Le</i> improves the distribution of species but slightly suppresses the convective flow. The variation in the length of the fins (XF = 0–0.2) demonstrates that longer fins reduce vortex strength and convective transport, resulting in a decrease in <i>Nu</i>_avg by 5% and <i>Sh</i>_avg by 3%. These findings provide fresh perspectives on optimizing NEnPCM-based thermal systems for energy storage, electronic cooling, and building envelope design.</p>\u0000 </div>","PeriodicalId":44939,"journal":{"name":"Heat Transfer","volume":"55 6","pages":"3409-3426"},"PeriodicalIF":2.7,"publicationDate":"2026-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148696065","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}

{"title":"Nano-Encapsulated Phase Change Materials Heat Transfer Analysis Inside a Permeable Closed Chamber With Microorganisms","authors":"Patakota Sudarsana Reddy,&nbsp;Paluru Sreedevi","doi":"10.1002/htj.70269","DOIUrl":"https://doi.org/10.1002/htj.70269","url":null,"abstract":"<div>\u0000 \u0000 <p>This work explores the coupled transport phenomena of heat and mass within a square cavity filled with a suspension of nano-encapsulated phase change materials (NEPCMs) in water. The NEPCMs, consisting of <i>n</i>-eicosane as the latent heat core and polyvinyl alcohol as the protective shell, are utilized to enhance thermal energy storage and heat transfer. The system incorporates a heat source, porous medium, thermal radiation, magnetic parameter, and the influence of chemically reactive species with activation energy. Additionally, the motion of motile microorganisms is considered to study bio-convective effects. A comprehensive mathematical model is developed using the Finite Element Method to solve the governing nonlinear equations. The analysis demonstrates that variations in porous structure, magnetic field strength, and radiation parameter significantly alter the flow structure, thermal behavior, and species distribution. The important findings reveal that, a rise in Cattaneo-Christov heat flux parameter <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 \u0000 <mrow>\u0000 <mo>(</mo>\u0000 \u0000 <mi>γ</mi>\u0000 \u0000 <mo>)</mo>\u0000 </mrow>\u0000 </mrow>\u0000 </semantics></math> leads to reduced flow circulation and a broader temperature distribution, reflecting the impact of thermal relaxation on delaying heat propagation. As the values of heat source parameter <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 \u0000 <mrow>\u0000 <mo>(</mo>\u0000 \u0000 <mi>Q</mi>\u0000 \u0000 <mo>)</mo>\u0000 </mrow>\u0000 </mrow>\u0000 </semantics></math> rise, the formation of vortices becomes more pronounced and intricate, indicating enhanced thermal mixing and improved heat transfer within the cavity. The proposed model has several applications in thermal energy storage systems, solar thermal devices, and bio-assisted thermal management applications.</p>\u0000 </div>","PeriodicalId":44939,"journal":{"name":"Heat Transfer","volume":"55 6","pages":"3523-3539"},"PeriodicalIF":2.7,"publicationDate":"2026-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148696067","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}

{"title":"Eigenvalue Approach to Analyze Thermomechanical Behavior in Nonlocal Orthotropic Double Porous Medium With Three-Phase-Lag Model","authors":"Chandra Sekhar Mahato,&nbsp;Siddhartha Biswas","doi":"10.1002/htj.70239","DOIUrl":"https://doi.org/10.1002/htj.70239","url":null,"abstract":"<div>\u0000 \u0000 <p>The present manuscript is aimed at studying the thermal shock response in a nonlocal orthotropic double-porous thermoelastic medium under the purview of the three-phase-lag (TPL) model, the Green-Naghdi model of type III (GN-III), and the Lord-Shulman (LS) model of hyperbolic thermoelasticity based on Eringen's nonlocal elasticity theory. To solve the current problem, a vector matrix equation is created, and the eigenvalue approach technique is used. To illustrate and validate the theoretical results, numerical simulations have been performed, and various physical quantities for time and distance are presented graphically. It also describes how various physical quantities are affected by nonlocal, phase-lag, and void parameters. The features of various physical quantities for nonlocal versus local, double void versus without void, and first kind of void versus second kind of void are discussed. Some 3D surface curves are also presented, and it can be observed that they satisfy the surface boundary conditions.</p>\u0000 </div>","PeriodicalId":44939,"journal":{"name":"Heat Transfer","volume":"55 5","pages":"3009-3028"},"PeriodicalIF":2.6,"publicationDate":"2026-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148208891","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}