Collocation Spectral Method for the Transient Conduction–Radiation Heat Transfer With Variable Thermal Conductivity in Two-Dimensional Rectangular Enclosure-Reference-Cited by-同舟云学术

Collocation Spectral Method for the Transient Conduction–Radiation Heat Transfer With Variable Thermal Conductivity in Two-Dimensional Rectangular Enclosure

Published:2015-03-01 Issue:3 Volume:137 Page:
ISSN:0022-1481
Container-title:Journal of Heat Transfer
language:en
Short-container-title:

Author:

Li Guo-Jun¹,Ma Jian²,Li Ben-Wen³

Affiliation:

1. School of Materials and Metallurgy, Northeastern University, Shenyang 110819, China

2. Key Laboratory of National Education Ministry for Electromagnetic Processing of Materials, Northeastern University, Shenyang 110819, China

3. Institute of Thermal Engineering, School of Energy and Power Engineering, Dalian University of Technology, Dalian 116024, China e-mail: ;

Abstract

The collocation spectral method (CSM) is further developed to solve the transient conduction–radiation heat transfer in a two-dimensional (2D) rectangular enclosure with variable thermal conductivity. The energy equation and the radiative transfer equation (RTE) are all discretized by Chebyshev–Gauss–Lobatto collocation points in space after the discrete ordinates method (DOM) discretization of RTE in angular domain. The treatment of variable thermal conductivity is executed using the array multiplication. The present method can deal with different boundary conditions with high accuracy, the Dirichlet one and mixed one, for example. Based on our new method, the effects of several parameters on heat transfer processes are analyzed.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics,General Materials Science

Link

http://asmedigitalcollection.asme.org/heattransfer/article-pdf/doi/10.1115/1.4029237/6209193/ht_137_03_032701.pdf

Reference26 articles.

1. Transient Two-Dimensional Radiative and Conductive Heat Transfer in a Scattering Medium;Int. J. Heat Mass Transfer,1994

2. Analysis of Conduction–Radiation Problem in Absorbing, Emitting and Anisotropically Scattering Media Using the Collapsed Dimension Method;Int. J. Heat Mass Transfer,2002

3. Transient Conduction–Radiation Heat Transfer in Participating Media Using the Lattice Boltzmann Method and the Discrete Transfer Method;Numer. Heat Transfer, Part A,2005

4. Application of the Lattice Boltzmann Method for Solving the Energy Equation of a 2-D Transient Conduction–Radiation Problem;Int. J. Heat Mass Transfer,2005

5. Solving Transient Conduction and Radiation Heat Transfer Problems Using the Lattice Boltzmann Method and the Finite Volume Method;J. Comput. Phys.,2007

Cited by 12 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Transient temperature analysis and computation in a 2-layer rectangular absorbing medium with a semitransparent diffuse interface and black surfaces;Numerical Heat Transfer, Part B: Fundamentals;2023-06-22

2. Computational analysis of the heat and mass transfer in a casson nanofluid with a variable inclined magnetic field;Sigma Journal of Engineering and Natural Sciences – Sigma Mühendislik ve Fen Bilimleri Dergisi;2023

3. Prediction of coupled radiative and conductive heat transfer in concentric cylinders with nonlinear anisotropic scattering medium by spectral collocation method;AIMS Energy;2021

4. Numerical study of self-similar natural convection mass transfer from a rotating cone in anisotropic porous media with Stefan blowing and Navier slip;Indian Journal of Physics;2019-06-05

5. Integral transform solution of integro-differential equations in conduction-radiation problems;Numerical Heat Transfer, Part A: Applications;2018-01-17