The spectral collocation method for transient combined radiation and conduction heat transfer in a planar participating medium with spatially variable refractive index is introduced and formulated. The angular dependence of the problem is discretized by discrete ordinates method and the space dependence is expressed by Chebyshev polynomial and discretized by spectral collocation method. Due to the exponential convergence of spectral methods, very high accuracy can be obtained even using a small resolution for present problem. Numerical results in one-dimensional planar slab by Chebyshev collocation spectral-discrete ordinates method (SP-DOM) are compared with those available data in references. Effects of various parameters such as the variable thermal conductivity, the scattering albedo, the emissivity of boundary, the conduction-radiation parameter, the optical thickness, and the graded index are studied for absorbing, emitting, and anisotropic scattering medium. The SP-DOM has been found to successfully and efficiently deal with transient combined radiation and conduction heat transfer problem in graded index medium.
Skip Nav Destination
e-mail: heatli@hotmail.com, heatli@epm.neu.edu.cn
Article navigation
Research Papers
Spectral Collocation Method for Transient Combined Radiation and Conduction in an Anisotropic Scattering Slab With Graded Index
Ya-Song Sun,
Ya-Song Sun
Key Laboratory of National Education Ministry for Electromagnetic Processing of Materials,
Northeastern University
, P.O. Box 314, Shenyang 110004, China
Search for other works by this author on:
Ben-Wen Li
Ben-Wen Li
Key Laboratory of National Education Ministry for Electromagnetic Processing of Materials,
e-mail: heatli@hotmail.com, heatli@epm.neu.edu.cn
Northeastern University
, P.O. Box 314, Shenyang 110004, China
Search for other works by this author on:
Ya-Song Sun
Key Laboratory of National Education Ministry for Electromagnetic Processing of Materials,
Northeastern University
, P.O. Box 314, Shenyang 110004, China
Ben-Wen Li
Key Laboratory of National Education Ministry for Electromagnetic Processing of Materials,
Northeastern University
, P.O. Box 314, Shenyang 110004, Chinae-mail: heatli@hotmail.com, heatli@epm.neu.edu.cn
J. Heat Transfer. May 2010, 132(5): 052701 (9 pages)
Published Online: March 8, 2010
Article history
Received:
January 18, 2009
Revised:
July 23, 2009
Online:
March 8, 2010
Published:
March 8, 2010
Citation
Sun, Y., and Li, B. (March 8, 2010). "Spectral Collocation Method for Transient Combined Radiation and Conduction in an Anisotropic Scattering Slab With Graded Index." ASME. J. Heat Transfer. May 2010; 132(5): 052701. https://doi.org/10.1115/1.4000444
Download citation file:
Get Email Alerts
Cited By
Entropic Analysis of the Maximum Output Power of Thermoradiative Cells
J. Heat Mass Transfer
Molecular Dynamics Simulations in Nanoscale Heat Transfer: A Mini Review
J. Heat Mass Transfer
Related Articles
Combined Conductive and Radiative Heat Transfer in an Absorbing and Scattering Infinite Slab
J. Heat Transfer (February,1978)
Transient Coupled Radiation and Conduction in a Three-Layer Composite
With Semitransparent Specular Interfaces and Surfaces
J. Heat Transfer (June,2002)
Unsteady, Combined Radiation and Conduction in an Absorbing, Scattering, and Emitting Medium
J. Heat Transfer (August,1973)
Numerical Study on the Influence of Radiative Properties in Porous Media Combustion
J. Heat Transfer (October,2001)
Related Chapters
Short-Pulse Collimated Radiation in a Participating Medium Bounded by Diffusely Reflecting Boundaries
International Conference on Mechanical and Electrical Technology, 3rd, (ICMET-China 2011), Volumes 1–3
The MCRT Method for Participating Media
The Monte Carlo Ray-Trace Method in Radiation Heat Transfer and Applied Optics
Radiation
Thermal Management of Microelectronic Equipment