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In this paper, a thermal-dynamical consistent model for mass transfer across permeable moving interfaces is proposed by using the energy variation method. We consider a restricted diffusion problem where the flux across the interface…

Numerical Analysis · Mathematics 2022-06-15 Yuzhe Qin , Huaxiong Huang , Yi Zhu , Chun Liu , Shixin Xu

This paper aims at the transient heat transfer analysis on extended surfaces with temperature-dependent thermal conductivity, constant internal heat generation, and five different geometries. The governing equations developed in this work…

Fluid Dynamics · Physics 2020-10-29 Marcos Curi , Jose Zotin

The paper addresses a two-temperature model for simulating compressible two-phase flow taking into account diffusion processes related to the heat conduction and viscosity of the phases. This model is reduced from the two-phase…

Numerical Analysis · Mathematics 2022-07-27 Chao Zhang , Igor Menshov , Lifeng Wang , Zhijun Shen

In this work, we investigate the estimation of the transient mold-slab heat flux in continuous casting molds given some thermocouples measurements in the mold plates. Mathematically, we can see this problem as the estimation of a Neumann…

Numerical Analysis · Mathematics 2022-10-06 Umberto Emil Morelli , Patricia Barral , Peregrina Quintela , Gianluigi Rozza , Giovanni Stabile

The objective of this work is to investigate the coupling of fluid dynamics, heat transfer and mass transfer during the impact and evaporation of droplets on a heated solid substrate. A laser-based thermoreflectance method is used to…

Fluid Dynamics · Physics 2010-10-14 Rajneesh Bhardwaj , Jon P. Longtin , Daniel Attinger

Due to ample applications from medical services to industrial activities, the study of flow and heat transfer through a curved duct has attracted considerable attention to the researchers. In this paper, a comprehensive numerical study is…

Fluid Dynamics · Physics 2021-09-02 Selim Hussen , Mohammad Sanjeed Hasan , Mahtab Uddin , Rabindra Nath Mondal

A wide range of natural and industrial processes involve heat and mass transport in porous media. In some important cases the transported substance may undergo phase change, e.g. from liquid to solid and vice versa in the case of freezing…

Applied Physics · Physics 2026-05-22 Petr Nikolaev , Majid Sedighi , Andrey P Jivkov , Lee Margetts

Laboratory experiments were conducted to study heat transport characteristics in a nonhomogeneously heated fluid annulus subjected to rotation along the vertical axis (z). The nonhomogeneous heating was obtained by imposing radial and…

We study anomalous transport in a one-dimensional system with two conserved quantities in presence of thermal baths. In this system we derive exact expressions of the temperature profile and the two point correlations in steady state as…

Statistical Mechanics · Physics 2018-10-10 Priyanka , Aritra Kundu , Abhishek Dhar , Anupam Kundu

Heat transport in turbulent thermal convection increases with the thermal forcing, but in almost all studies the rate of this increase is slower than it would be if transport became independent of the molecular diffusivities -- the heat…

Fluid Dynamics · Physics 2022-07-19 Sina Kazemi , Rodolfo Ostilla-Mónico , David Goluskin

In small-scale, low-density or high-speed flows, the mean free path of the gas and its molecular interaction with a solid interface are key properties for the analysis of heat transfer mechanisms occurring in many flow processes ranging…

Fluid Dynamics · Physics 2025-06-18 Diogo C. Barros , Lionel Larchevêque , Pierre Dupont

In this paper thermal conductivity and thermal diffusivity of a two layer system is examined from the theoretical point of view. We use the one dimensional heat diffusion equation with the appropriate solution in each layer and boundary…

Condensed Matter · Physics 2009-10-28 G. Gonzalez de la Cruz , Yu. G. Gurevich

Fluids at supercritical pressures exhibit large variations in density near the pseudo critical line, such that buoyancy plays a crucial role in their fluid dynamics. Here, we experimentally investigate heat transfer and turbulence in…

Fluid Dynamics · Physics 2025-06-11 Marko Draskic , Jerry Westerweel , Rene Pecnik

A one-phase Stefan problem for a semi-infinite material is investigated for special functional forms of the thermal conductivity and specific heat depending on the temperature of the phase-change material. Using the similarity…

Analysis of PDEs · Mathematics 2022-01-13 Julieta Bollati , María F. Natale , José A. Semitiel , Domingo A. Tarzia

In the paper we deal with ballistic heat transport in a graphene lattice subjected to a point heat source. It is assumed that a graphene sheet is suspended under tension in a viscous gas. We use the model of a harmonic polyatomic (more…

Mesoscale and Nanoscale Physics · Physics 2022-05-11 Serge N. Gavrilov , Anton M. Krivtsov

Quantum heat transfer through a generic superconducting set-up consisting of a tunable transmon qubit placed between resonators that are termined by thermal reservoirs is explored. Two types of architectures are considered, a sequential and…

Quantum Physics · Physics 2021-03-24 Meng Xu , J. T. Stockburger , J. Ankerhold

A simulation work aiming to study heat transfer coefficient between argon fluid flow and copper plate is carried out based on atomistic-continuum hybrid method. Navier-Stokes equations for continuum domain are solved through the Pressure…

Computational Physics · Physics 2016-03-11 Yijin Mao , Yuwen Zhang , C. L. Chen

We consider unsteady ballistic heat transport in a semi-infinite Hooke chain with free end and arbitrary initial temperature profile. An analytical description of the evolution of the kinetic temperature is proposed in both discrete (exact)…

Statistical Mechanics · Physics 2023-02-15 Sergei D. Liazhkov

We consider the thermal dunking problem, in which a solid body is suddenly immersed in a fluid of different temperature, and study both the temporal evolution of the solid and the associated Biot number -- a non-dimensional heat transfer…

Computational Engineering, Finance, and Science · Computer Science 2025-11-11 Theron Guo , Kento Kaneko , Claude Le Bris , Anthony T. Patera

This investigation deals with the analysis of stagnation point heat transfer and corresponding flow features of hydromagnetic viscous incompressible fluid over a vertical shrinking sheet. The considered sheet is assumed to be permeable and…

Fluid Dynamics · Physics 2015-11-20 Rakesh Kumar , Shilpa Sood