Analyses of non-Fourier heat conduction in 1-D cylindrical and spherical geometry - An application of the lattice Boltzmann method

被引:35
作者
Mishra, Subhash C. [1 ]
Sahai, Harsh [1 ]
机构
[1] IIT Guwahati, Dept Mech Engn, Gauhati 781039, India
关键词
Non-Fourier heat conduction; Cylindrical and spherical geometry; Lattice Boltzmann method; Finite volume method; NUMERICAL-SOLUTION; COORDINATE SYSTEM; ENERGY EQUATION; RADIATION; LEQUATION;
D O I
10.1016/j.ijheatmasstransfer.2012.07.014
中图分类号
O414.1 [热力学];
学科分类号
摘要
This article deals with the implementation of the lattice Boltzmann method (LBM) for the analyses of non-Fourier heat conduction in 1-D cylindrical and spherical geometries. Evolution of the wave like temperature distributions in the medium is obtained, and analysed for the effects of different sets of thermal perturbations at the inner and the outer boundaries of the geometry. The LBM results are validated against those available in the literature, and those obtained by solving the same problems using the finite volume method (FVM). Results of the LBM are in excellent agreement with those reported in the literature, and with the results from the FVM. Computationally, the LBM has an advantage over the FVM. (C) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码:7015 / 7023
页数:9
相关论文
共 27 条
[1]   Modelling non-Fourier heat conduction with periodic thermal oscillation using the finite integral transform [J].
Abdel-Hamid, B .
APPLIED MATHEMATICAL MODELLING, 1999, 23 (12) :899-914
[2]   Importance of nonFourier heat conduction in solid-phase reactions [J].
Antaki, PJ .
COMBUSTION AND FLAME, 1998, 112 (03) :329-341
[3]   Hyperbolic thermal waves in a solid cylinder with a non-stationary boundary heat flux [J].
Barletta, A ;
Pulvirenti, B .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1998, 41 (01) :107-116
[4]  
CATTANEO C, 1958, CR HEBD ACAD SCI, V247, P431
[5]   NUMERICAL-ANALYSIS FOR HYPERBOLIC HEAT-CONDUCTION [J].
CHEN, HT ;
LIN, JY .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1993, 36 (11) :2891-2898
[6]   Numerical solution for the hyperbolic heat conduction problems in the radial-spherical coordinate system using a hybrid Green's function method [J].
Chen, Tzer-Ming ;
Chen, Ching-Chih .
INTERNATIONAL JOURNAL OF THERMAL SCIENCES, 2010, 49 (07) :1193-1196
[7]   Numerical solution of hyperbolic heat conduction problems in the cylindrical coordinate system by the hybrid Green's function method [J].
Chen, Tzer-Ming .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2010, 53 (7-8) :1319-1325
[8]   Periodic heat conduction in a solid homogeneous finite cylinder [J].
Cossali, G. E. .
INTERNATIONAL JOURNAL OF THERMAL SCIENCES, 2009, 48 (04) :722-732
[9]  
Dreyer W., 2004, J COMPUTATIONAL PHYS, V198
[10]   GENERAL FORMULATION AND ANALYSIS OF HYPERBOLIC HEAT-CONDUCTION IN COMPOSITE MEDIA [J].
FRANKEL, JI ;
VICK, B ;
OZISIK, MN .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1987, 30 (07) :1293-1305