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An inverse problem for a stationary heat transfer process is studied for a totally isolated bar on its lateral surface, made up of two consecutive sections of different, isotropic and homogeneous materials, perfectly assembly, where one of…

偏微分方程分析 · 数学 2021-05-28 Guillermo Federico Umbricht , Diana Rubio , Domingo Alberto Tarzia

A conjugate heat transfer (CHT) immersed boundary (IB and CHTIB) method is developed for use with laminar and turbulent flows with low to moderate Reynolds numbers. The method is validated with the canonical flow of two co-annular rotating…

流体动力学 · 物理学 2014-11-19 Ryan Crocker , Yves Dubief , Olivier Desjardins

We discuss spatio-temporal pattern formation in two separate thermal convective systems. In the first system, hydrothermal waves (HTW) are modeled numerically in an annular channel. A temperature difference is imposed across the channel,…

流体动力学 · 物理学 2022-04-20 Atanu Chatterjee , Takahiko Ban , Atsushi Onizuka , Germano Iannacchione

An explicit solution of a similarity type is obtained for a one-phase Stefan problem in a semi-infinite material using Kummer functions. Motivated by [D.A. Tarzia, Relationship between Neumann solutions for two phase Lam\'e-Clapeyron-Stefan…

偏微分方程分析 · 数学 2016-10-31 Julieta Bollati , Domingo Alberto Tarzia

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…

偏微分方程分析 · 数学 2022-01-13 Julieta Bollati , María F. Natale , José A. Semitiel , Domingo A. Tarzia

We study a system describing the dynamics of a two-phase flow of incompressible viscous fluids influenced by the convective heat transfer of Caginalp-type. The separation of the fluids is expressed by the order parameter which is of diffuse…

偏微分方程分析 · 数学 2023-08-15 Šárka Nečasová , John Sebastian H. Simon

The modelling of quantum heat transfer processes at the nanoscale is crucial for the development of energy harvesting and molecular electronics devices. Herein, we adopt a mixed quantum-classical description of a device, in which the open…

化学物理 · 物理学 2018-12-12 Junjie Liu , Chang-Yu Hsieh , Dvira Segal , Gabriel Hanna

The amount and spatial pattern of heat extracted from cores of terrestrial planets is ultimately controlled by the thermal structure of the lower rocky mantle. Using the most common model to tackle this problem, a rapidly rotating and…

地球与行星天体物理 · 物理学 2016-01-26 Wieland Dietrich , Kumiko Hori , Johannes Wicht

Stefan problems relevant to burning oil-water systems are formulated. Two moving boundary sub-problems are defined: burning liquid surface and formation of a distillation ("hot zone") layer beneath it. The basic model considers a heat…

数学物理 · 物理学 2010-12-14 Jordan Hristov

The purpose of the Liscic/Petrofer probe is to determine the cooling intensity during liquid quenching in laboratory and workshop environments. The surface heat transfer coefficient is calculated by the one-dimensional finite volume method…

材料科学 · 物理学 2014-01-15 Sasa Singer

In this paper, we study the 1D steady Boltzmann flow in a channel. The walls of the channel are assumed to have vanishing velocity and given temperatures $\theta_0$ and $\theta_1$. This problem was studied by Esposito et al [13,14] where…

偏微分方程分析 · 数学 2023-06-02 Renjun Duan , Shuangqian Liu , Tong Yang , Zhu Zhang

The heat transfer mechanism in Rayleigh-Benard convection in a liquid with a mean temperature close to its boiling point is studied through numerical simulations with point-like vapor bubbles, which are allowed to grow or shrink through…

流体动力学 · 物理学 2015-05-13 Paolo Oresta , Roberto Verzicco , Detlef Lohse , Andrea Prosperetti

The present work investigates the causal parameter space of the Mueller-Israel-Stewart second-order theory for heat-conducting fluids in the Eckart frame for one-dimensional fluid flow in systems with finite baryon density. It is shown that…

核理论 · 物理学 2026-03-23 Victor Roy

This work is aimed at the study and analysis of the heat transport on a metal bar of length $L$ with a solid-solid interface. The process is assumed to be developed along one direction, across two homogeneous and isotropic materials.…

偏微分方程分析 · 数学 2021-10-28 Diana Rubio , Domingo A. Tarzia , Guillermo F. Umbricht

Thermal convection stands out as an exceptionally efficient thermal transport mechanism, distinctly separate from conduction and radiation. Yet, the inherently elusive nature of fluid motion poses challenges in accurately controlling…

应用物理 · 物理学 2023-09-26 Peng Jin , Gaole Dai , Fubao Yang

In this paper, we first establish a new fractional magnetohydrodynamic (MHD) coupled flow and heat transfer model for a generalized second-grade fluid. This coupled model consists of a fractional momentum equation and a heat conduction…

数值分析 · 数学 2022-11-29 Xiaoqing Chi , Hui Zhang , Xiaoyun Jiang

Radiative cooling is an important ingredient in hydrodynamical models involving evolution of high temperature plasmas. Unfortunately, calculating an accurate cooling coefficient generally requires the solution of over a hundred differential…

天体物理学 · 物理学 2009-11-06 Robert A. Benjamin , Bradford A. Benson , Donald P. Cox

A study of a reacting boundary layer flow with heat transfer at conditions typical for configurations at elevated pressures has been performed using a set of direct numerical simulations. Effects of wall temperatures are investigated,…

流体动力学 · 物理学 2021-02-16 Nikolaos Perakis , Oskar Haidn , Matthias Ihme

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…

经典物理 · 物理学 2013-08-14 Andrea Ferrantelli , Paul Melóis , Martti Viljanen

A theoretical study is presented in this paper to investigate the conjugate heat transfer across a vertical finite wall separating two forced and free convection flows at different temperatures. The heat conduction in the wall is in the…

流体动力学 · 物理学 2015-09-15 Jian-Jun Shu , I. Pop