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In this article, we present the governing equations for the temperature field upstream and downstream of the periodically developed flow region in channels with arrays of periodic solid structures. From the ansatz that the temperature field…

Fluid Dynamics · Physics 2024-03-26 Geert Buckinx

Current-carrying conductors inevitably experience resistive heating due to the material's finite electrical conductivity. The resulting temperature distribution within the wire has essential implications for structural integrity,…

Directional solidification occurs in industrial and natural processes, such as freeze-casting, metal processing, biological cryopreservation and freezing of soils. Translational temperature gradient stage allows to control the process of…

Applied Physics · Physics 2020-11-10 Michael Chasnitsky , Victor Yashunsky , Ido Braslavsky

An accurate and comprehensive numerical solution to the parabolic free boundary problem arising from thin film flow with both velocity and temperature distribution at large Reynolds numbers is obtained using a modified Keller box method. A…

Fluid Dynamics · Physics 2024-08-20 Jian-Jun Shu , Graham Wilks

In this paper, we focus on the study of heat transfer behavior for the dual-phase-lag heat conduction model, which describes the evolution of temperature in a two-dimensional rectangular plate caused by the activity of a point heat source…

Analysis of PDEs · Mathematics 2023-08-22 Kaiyuan Chen , Zhicheng Hu

Numerical simulations for 2-D unsteady, incompressible flow with heat transfer in a four-sided lid-driven rectangular domain are reported in the present study. For the four-sided lid-driven rectangular domain, the lower wall is moved to the…

Fluid Dynamics · Physics 2017-05-03 V. Ambethkar , Durgesh Kushawaha

Hidden defects affecting the interface in a composite slab are evaluated from thermal data collected on the upper side of the specimen. First we restrict the problem to the upper component of the object. Then we investigate heat transfer…

Applied Physics · Physics 2019-10-11 Gabriele Inglese , Roberto Olmi

Although ubiquitous in nature and industrial processes, transport processes at the interface during evaporation and condensation are still poorly understood. Experiments have shown temperature discontinuities at the interface during…

Soft Condensed Matter · Physics 2023-08-01 Gang Chen

We consider two common heat transfer processes and perform a through sensitivity study of the variables involved. We derive and discuss analytical formulas for the heat transfer coefficient in function of film velocity, air temperature and…

Classical Physics · Physics 2013-08-14 Andrea Ferrantelli , Paul Melóis , Martti Viljanen

We present a new stochastic analysis for steady and transient one-dimensional heat conduction problem based on the homogenization approach. Thermal conductivity is assumed to be a random field K consisting of random variables of a total…

Statistical Mechanics · Physics 2018-09-05 Zhijie Xu

Additive manufacturing and welding processes are highly sensitive to heat dissipation, where improper thermal management leads to residual stresses, distortions, and cracking. Existing heat transfer models, such as Rosenthal's solutions,…

Mathematical Physics · Physics 2026-04-24 Fawzi Aly , Alex Kitt , Luke Mohr

We design a class of spatially inhomogeneous heat spreaders in the context of steady-state thermal conduction leading to spatially uniform thermal fields across a large convective surface. Each spreader has a funnel-shaped design, either in…

Materials Science · Physics 2022-02-25 Eleanor R. Russell , Raphaël C. Assier , William J. Parnell

Nonlinear heat transfer can be exploited to reveal novel transport phenomena and thus enhance peo-ple's ability to manipulate heat flux at will. However, there hasn't been a mature discipline called nonlinear thermotics like its counterpart…

Applied Physics · Physics 2022-10-04 Gaole Dai

In this work, we obtain the numerical temperature field to a thermally developing fluid flow inside parallel plates problem with a quantum computing method. The physical problem deals with the heat transfer of a steady state,…

This work addresses the conjugate heat transfer of a simplified PTT fluid flowing past an unbounded sphere in the Stokes regime ($Re = 0.01$). The problem is numerically solved with the finite-volume method assuming axial symmetry, absence…

Fluid Dynamics · Physics 2021-04-14 F. Pimenta , M. A. Alves

We consider the steady heat transfer between a collection of impermeable obstacles immersed in an incompressible 2D potential flow, when each obstacle has a prescribed boundary temperature distribution. Inside the fluid, the temperature…

Fluid Dynamics · Physics 2025-09-12 Kyle McKee , Keaton Burns

In this paper, we derive a thermodynamically consistent non-isothermal diffuse interface model for phase transition and interface evolution involving heat transfer. This model is constructed by integrating concepts from classical…

Analysis of PDEs · Mathematics 2025-08-05 Chun Liu , Jan-Eric Sulzbach , Yiwei Wang

Interfaces play an essential role in phonon-mediated heat conduction in solids, impacting applications ranging from thermoelectric waste heat recovery to heat dissipation in electronics. From the microscopic perspective, interfacial phonon…

Mesoscale and Nanoscale Physics · Physics 2017-05-24 Chengyun Hua , Xiangwen Chen , Navaneetha K. Ravichandran , Austin J. Minnich

We present a simple experiment on thermal diffusion in metal rods that can be used to integrate computation into the advanced lab. An analytical solution exists for the transient heat conduction in an infinite rod with a delta function heat…

Physics Education · Physics 2025-06-05 Yash Mohod , Matthew C. Sullivan

We investigate the two-dimensional transport of heat through viscous flow between two parallel rough interfaces with a given fractal geometry. The flow and heat transport equations are solved through direct numerical simulations, and for…

Statistical Mechanics · Physics 2009-11-10 J. S. Andrade , E. A. Henrique , M. P. Almeida , M. H. A. S. Costa