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Soil water and heat transport plays an important role in various hydrologic, agricultural, and industrial applications. Accordingly, an increasing attention is paid to relevant simulation models. In t...
Non-standard backward heat conduction problem is ill-posed in the sense that the solution(if it exists) does not depend continuously on the data. In this paper, we propose a regularization strategy-qu...
Abstract: We numerically investigate the heat conduction behavior of one-dimensional momentum-conserved lattice systems with {\it asymmetric} interactions. The heat conductivity is measured by couplin...
Does a moving body appear cold? This remarkably simple question, raised by the late Professor P. T. Landsberg some forty years ago, highlights a profound missing link in our current understanding of c...
In this paper, the three-dimensional hyperbolic effect subjected to a cosine heat flux boundary condition is carried out. Equations in rectangular coordinates are solved. Analytical solution with meth...
This paper presents a hybrid graded element model for the transient heat conduction problem in functionally graded materials (FGMs). First, a Laplace transform approach is used to handle the time vari...
In our former study (J. Phys. A: Math. Theor. 43, (2010) 325210 or arXiv:1002.0999v1 [math- ph]) we introduced a modified Fourier-Cattaneo law and derived a non-autonomous telegraph-type heat conduc...
In this paper, using the fractional Fourier law,we obtain the fractional heat conduction equation with a time-fractional derivative in the spherical coordinate system. The method of variable separatio...
Roe and Arora [1] derived a fourth-order accurate coupled characteristicsbased scheme for the hyperbolic heat conduction equations (mistakenly concluding that it was only third-order accurate [2]) by ...
In [1], we derived and studied three fourth-order accurate characteristicsbased schemes with unit Courant number for the hyperbolic heat conduction equations. Herein, we extend these schemes to Couran...
The experimental results obtained in the previous reports lead us to a new hypothesis that the relative distribution of gas temperature and local heat transfer coefficient around the torch remain unch...
The propagation of a spherical shock wave in an ideal gas with heat conduction and radiation heat-flux, and with or without self-gravitational effects, is investigated. The initial density of the gas ...
In this study, a comparison of the burning process of a multilayer fabric packet with heat conduction through this packet was carried out. The values determined from the burning were compared with tho...
This paper presents a reciprocal theorem for steady-state heat conduction problems. Some examples illustrate the applications of the reciprocal relation formulated. The method applied is based on the ...
The numerical solution of the thermal part of a coupled thermo-mechanical contact problem is presented. The hp-version finite element method is used for the discretization of the temperature field in ...

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