Two- and Three-Dimensional Elements in Linear Elasticity and Linear Conductive Heat Transfer

2008 ◽  
Keyword(s):  
Heat Transfer ◽  
Linear Elasticity ◽  
Three Dimensional ◽  
Conductive Heat Transfer ◽  
Conductive Heat

Chebyshev Collocation Spectral Method for Three-Dimensional Transient Coupled Radiative–Conductive Heat Transfer

2012 ◽  
Vol 134 (9) ◽  
Author(s):  
Ya-Song Sun ◽  
Jing Ma ◽  
Ben-Wen Li
Keyword(s):  
Heat Transfer ◽  
Spectral Method ◽  
Three Dimensional ◽  
Conservation Equation ◽  
Conductive Heat Transfer ◽  
Discrete Ordinates ◽  
Conductive Heat ◽  
Chebyshev Collocation ◽  
Energy Conservation Equation ◽  
Collocation Spectral Method

Abstract A Chebyshev collocation spectral method (CSM) is presented to solve transient coupled radiative and conductive heat transfer in three-dimensional absorbing, emitting, and scattering medium in Cartesian coordinates. The walls of the enclosures are considered to be opaque, diffuse, and gray and have specified temperature boundary conditions. The CSM is adopted to solve both the radiative transfer equation (RTE) and energy conservation equation in spatial domain, and the discrete ordinates method (DOM) is used for angular discretization of RTE. The exponential convergence characteristic of the CSM for transient coupled radiative and conductive heat transfer is studied. The results using the CSM show very satisfactory calculations comparing with available results in the literature. Based on this method, the effects of various parameters, such as the scattering albedo, the conduction–radiation parameter, the wall emissivity, and the optical thickness, are analyzed.

Nondegeneracy of optimality conditions in control problems for a radiative–conductive heat transfer model

2016 ◽  
Vol 289 ◽  
pp. 371-380 ◽  
Author(s):  
Alexander Yu. Chebotarev ◽  
Andrey E. Kovtanyuk ◽  
Gleb V. Grenkin ◽  
Nikolai D. Botkin ◽  
Karl-Heinz Hoffmann
Keyword(s):  
Heat Transfer ◽  
Optimality Conditions ◽  
Heat Transfer Model ◽  
Conductive Heat Transfer ◽  
Control Problems ◽  
Transfer Model ◽  
Conductive Heat

Coupled Radiative and Conductive Heat Transfer in a Two-Dimensional Rectangular Enclosure With Gray Participating Media Using Finite Elements

1984 ◽  
Vol 106 (3) ◽  
pp. 613-619 ◽  
Author(s):  
M. M. Razzaque ◽  
J. R. Howell ◽  
D. E. Klein
Keyword(s):  
Heat Transfer ◽  
Flux Distribution ◽  
Conductive Heat Transfer ◽  
Conductive Heat ◽  
Two Dimensional ◽  
The Finite Element Method ◽  
Heat Flux Distribution ◽  
Distributed Energy ◽  
Participating Media ◽  
Rectangular Enclosure

A numerical solution of the exact equations of coupled radiative/conductive heat transfer and temperature distribution inside a medium, and of the heat flux distribution at all the gray walls of a two-dimensional rectangular enclosure with the medium having uniform absorbing/emitting properties, using the finite element method, is presented. The medium can also have distributed energy sources. Comparison is made to the results of the P-3 approximation method.

Sign in / Sign up

Export Citation Format

Share Document