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The heat transfer model for a one-dimensional supercooled melt during the final stage of solidification is considered. The Stefan problem for the determination of the temperature distribution is solved under the condition that (i) the…

Materials Science · Physics 2012-08-27 G. L. Buchbinder , V. A. Volkov

The clearing up of a wave nature of the energy and mass transfer phenomena in classical expressions of the molecular-kinetic theory has allowed to find a quantitative measure of intensity of processes of a thermal conductivity, viscosity…

Fluid Dynamics · Physics 2007-05-23 S. L. Arsenjev , I. B. Lozovitski , Y. P. Sirik

A two-dimensional model is proposed for energy efficiency assessment through the simulation of heat transfer in building envelopes, considering the influence of the surrounding environment. The model is based on the \DF ~approach that…

Computational Engineering, Finance, and Science · Computer Science 2021-11-18 Julien Berger , Suelen Gasparin , Walter Mazuroski , Nathan Mendes

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

A new graphical method is developed to calculate the critical temperature of 2- and 3-dimensional Ising models as well as that of the 2-dimensional Potts models. This method is based on the transfer matrix method and using the limited…

Chemical Physics · Physics 2007-05-23 M. Ghaemi , G. A. Parsafar , M. Ashrafizaadeh

In this work the authors consider the recovery of the point source in the heat equation. The used data is the sparse boundary measurements. The uniqueness theorem of the inverse problem is given. After that, the numerical reconstruction is…

Numerical Analysis · Mathematics 2025-02-06 Qiling Gu , Wenlong Zhang , Zhidong Zhang

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

We present an explicit finite difference method to simulate the non-ideal multi-phase fluid flow. The local density and the momentum transport are modeled by the Navier-Stokes (N-S) equations and the pressure is computed by the Van der…

Fluid Dynamics · Physics 2023-07-12 Chunheng Zhao , Alexandre Limare , Stephane Zaleski

When the surface of a first material is brought into contact with the surface of a second material the contact region is called an interface. Since the time of James Clerk Maxwell it has been customary to treat a material electrically as…

Classical Physics · Physics 2008-02-01 Albert E. Seaver

This paper considers the initial-boundary value problem for the heat equation with a dynamic type boundary condition. Under some regularity, consistency and orthogonality conditions, the existence, uniqueness and continuous dependence upon…

Mathematical Physics · Physics 2013-06-21 Nazim B. Kerimov , Mansur I. Ismailov

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

In this paper, a new inverse identification method is developed from full kinematic and thermal field measurements. It consists in reconstructing the heat source from two approaches, a first one that requires the measurement of the…

Classical Physics · Physics 2019-07-08 S. Charlès , Jean-Benoit Le Cam

Lie symmetry method is applied to find analytic solutions of initial-boundary-value problems of transient conduction in semi-infinite solid with constant surface temperature or constant heat flux condition. The solutions are obtained in a…

Analysis of PDEs · Mathematics 2009-09-07 H. Azad , M. T. Mustafa , A. F. M. Arif

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 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

Heat losses through the building envelope is one of the key factors in the calculation of the building energy balance. If steady-state heat conduction is observed, which is commonly used to assess the heat losses in building, there is an…

Computational Engineering, Finance, and Science · Computer Science 2020-10-27 Sanjin Gumbarević , Bojan Milovanović , Mergim Gaši , Marina Bagarić

A method for density-based topology optimization of heat exchangers with two fluids is proposed. The goal of the optimization process is to maximize the heat transfer from one fluid to the other, under maximum pressure drop constraints for…

The problem of heat conduction in one-dimensional piecewise homogeneous composite materials is examined by providing an explicit solution of the one-dimensional heat equation in each domain. The location of the interfaces is known, but…

Numerical Analysis · Mathematics 2016-12-23 Natalie E. Sheils

We present a simple, analytic point source model for both static and time-varying point-like heat sources and the resulting temperature profile that solves the heat equation in dimension three. Simple algorithms to detect the location and…

Numerical Analysis · Mathematics 2019-07-01 Janne P. Tamminen

We consider the identification of nonlinear heat conduction laws in stationary and instationary heat transfer problems. Only a single additional measurement of the temperature on a curve on the boundary is required to determine the unknown…

Analysis of PDEs · Mathematics 2014-04-10 Herbert Egger , Jan-Frederik Pietschmann , Matthias Schlottbom
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