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This paper investigates shape optimization problems in the context of heat transfer, with a focus on the stability and non-optimality of round domains under Robin boundary conditions. Using the flow approach and Steklov eigenvalue…

Analysis of PDEs · Mathematics 2025-07-09 Qinfeng Li , Hang Yang

We present analytic self-similar or traveling wave solutions for a one-dimensional coupled system of continuity, compressible Euler and heat conduction equations. Different kind of equation of states are investigated. In certain forms of…

Mathematical Physics · Physics 2014-02-21 Imre Ferenc Barna , Laszlo Matyas

Boundary conditions for the solid-liquid interface of the solidifying pure melt have been derived. In the derivation the model of Gibbs interface is used. The boundary conditions include both the state quantities of bulk phases are taken at…

Materials Science · Physics 2016-11-02 Gennady Buchbinder , Peter Galenko

Heat exchangers are devices that typically transfer heat between two fluids. The performance of a heat exchanger such as heat transfer rate and pressure loss strongly depends on the flow regime in the heat transfer system. In this paper, we…

Computational Engineering, Finance, and Science · Computer Science 2020-05-19 Hiroki Kobayashi , Kentaro Yaji , Shintaro Yamasaki , Kikuo Fujita

This paper gives similarity transformations for laminar film condensation on a vertical flat plate with variable temperature distribution and finds analytical solutions for arbitrary Prandtl numbers and condensation rates. The work…

Fluid Dynamics · Physics 2023-08-03 Jian-Jun Shu

It is necessary to use more general models than the classical Fourier heat conduction law to describe small-scale thermal conductivity processes. The effects of heat flow memory and heat capacity memory (internal energy) in solids are…

Numerical Analysis · Mathematics 2021-11-30 Petr N. Vabishchevich

Liquid-infused surfaces (LIS) can reduce friction drag in both laminar and turbulent flows. However, the heat transfer properties of such multi-phase surfaces have still not been investigated to a large extent. We use numerical simulations…

Fluid Dynamics · Physics 2022-05-11 Johan Sundin , Umberto Ciri , Stefano Leonardi , Marcus Hultmark , Shervin Bagheri

In this paper we study the existence of traveling wave solutions for a free-boundary problem modeling the phase transition of a material where the heat is transported by both conduction and radiation. Specifically, we consider a…

Analysis of PDEs · Mathematics 2025-06-03 Elena Demattè , Juan J. L. Velázquez

Thermal properties of a two-layered composite conductor are modified in case the interface is damaged. The present paper deals with nondestructive evaluation of perturbations of interface thermal conductance due to the presence of defects.…

Mathematical Physics · Physics 2026-05-13 Gabriele Inglese , Raffaele Inglese

Motivated by recent experimental observations, we consider a steady-state Prandtl-Blasius boundary layer flow with polymers above a slightly heated horizontal plate and study how the heat transport might be affected by the polymers. We…

Chaotic Dynamics · Physics 2015-05-27 Roberto Benzi , Emily S. C. Ching. , Vivien W. S. Chu

What is the interface temperature during phase transition (for instance, from liquid to vapor)? This question remains fundamentally unresolved. In the modeling of heat transfer problems with no phase change, the temperature and heat flux…

Statistical Mechanics · Physics 2023-11-02 Tom Y. Zhao , Neelesh A. Patankar

In this research, a novel method to investigation the transient heat transfer coefficient in a channel is suggested experimentally, in which the water flow, itself, is considered both just liquid phase and liquid-vapor phase. The…

Fluid Dynamics · Physics 2019-07-30 Majid Karami , Somayeh Davoodabadi Farahani , Farshad Kowsary , Amir Mosavi

In one and two dimensions, transport coefficients may diverge in the thermodynamic limit due to long--time correlation of the corresponding currents. The effective asymptotic behaviour is addressed with reference to the problem of heat…

Statistical Mechanics · Physics 2009-11-10 Stefano Lepri , Roberto Livi , Antonio Politi

We study the interface between a solid trapped within a bath of liquid by a suitably shaped non-uniform external potential. Such a potential may be constructed using lasers, external electric or magnetic fields or a surface template. We…

Soft Condensed Matter · Physics 2009-11-13 Abhishek Chaudhuri , Debasish Chaudhuri , Surajit Sengupta

Heat pipe is an efficient heat transfer element based on two-phase natural circulation, which has advantages of simple structure, strong heat transfer ability, and good isothermal performance. Heat pipes are widely used in heat transfer and…

Applied Physics · Physics 2024-11-19 Ziyi Wang , Huang Zhang , Shanfang Huang

The mean vertical heat transport $\langle wT \rangle$ in convection between isothermal plates driven by uniform internal heating is investigated by means of rigorous bounds. These are obtained as a function of the Rayleigh number $R$ by…

Fluid Dynamics · Physics 2021-07-01 Ali Arslan , Giovanni Fantuzzi , John Craske , Andrew Wynn

Understanding heat transport in low-dimensional and nano-architectured materials remains a central challenge in nonequilibrium statistical physics due to persistent deviations from Fourier's law. These deviations are driven by…

Mesoscale and Nanoscale Physics · Physics 2026-05-15 R. A. C. Correa , K. N. M. Sharma , P. Lolur , J. van Velzen

The effects of MHD boundary layer flow of non-linear thermal radiation with convective heat transfer and non-uniform heat source/sink in presence of thermophortic velocity and chemical reaction investigated in this study. Suitable…

Fluid Dynamics · Physics 2017-02-08 Shalini Jain , Rakesh Choudhary

The influence of temperature on interfacial fluid slip, as measured by molecular-dynamics simulations of a Couette flow comprising a Lennard-Jones fluid and rigid crystalline walls, is examined as a function of the fluid-solid interaction…

Fluid Dynamics · Physics 2021-06-30 Thiago F. Viscondi , Adriano Grigolo , Iberê L. Caldas , Julio R. Meneghini

Using quantum gas microscopy we study the late-time effective hydrodynamics of an isolated cold-atom Fermi-Hubbard system subject to an external linear potential (a "tilt"). The tilt is along one of the principal directions of the…

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