Nonaxisymmetric radiative transfer in cylindrical enclosures

Jeffrey P. Moder; John C. Chai; Girija Parthasarathy; Haeok S. Lee; Suhas V. Patankar

doi:10.1115/IMECE1996-0039

Nonaxisymmetric radiative transfer in cylindrical enclosures

Jeffrey P. Moder, John C. Chai, Girija Parthasarathy, Haeok S. Lee, Suhas V. Patankar

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

A finite-volume method for radiative transfer in cylindrical enclosures is presented. Angular redistribution terms in the equation of transfer are avoided by defining radiation directions in terms of angular coordinates measured with respect to Cartesian base vectors; this definition of radiation directions can result in control angles which overlap control-volume faces, depending on the type of spatial and angular grids used in the azimuthal direction. A simple treatment for such control-Angle overlaps is presented which is also applicable to nonorthogonal curvilinear spatial-coordinates. A comparison of the present procedure with other similar methods is given. Solutions are presented for axisymmetric transfer through a cylinder and nonaxisymmetric transfer through two-And threedimensional annular sectors. Results show that the procedure produces reasonable solutions for transparent and participating media in axisymmetric and nonaxisymmetric cylindrical enclosures.

Original language	English
Title of host publication	Heat Transfer
Subtitle of host publication	Volume 1 � Heat Transfer in Microgravity Systems; Radiative Heat Transfer and Radiative Heat Transfer in Low-Temperature Environments; Thermal Contact Conductance and Inverse Problems in Heat Transfer
Publisher	American Society of Mechanical Engineers (ASME)
Pages	153-161
Number of pages	9
ISBN (Electronic)	9780791815199
DOIs	https://doi.org/10.1115/IMECE1996-0039
Publication status	Published - 1996
Externally published	Yes
Event	ASME 1996 International Mechanical Engineering Congress and Exposition, IMECE 1996 - Atlanta, United States Duration: Nov 17 1996 → Nov 22 1996

Publication series

Name	ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)
Volume	1996-AH

Conference

Conference	ASME 1996 International Mechanical Engineering Congress and Exposition, IMECE 1996
Country/Territory	United States
City	Atlanta
Period	11/17/96 → 11/22/96

ASJC Scopus subject areas

Mechanical Engineering

Access to Document

10.1115/IMECE1996-0039

Cite this

Moder, J. P., Chai, J. C., Parthasarathy, G., Lee, H. S., & Patankar, S. V. (1996). Nonaxisymmetric radiative transfer in cylindrical enclosures. In Heat Transfer: Volume 1 � Heat Transfer in Microgravity Systems; Radiative Heat Transfer and Radiative Heat Transfer in Low-Temperature Environments; Thermal Contact Conductance and Inverse Problems in Heat Transfer (pp. 153-161). (ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE); Vol. 1996-AH). American Society of Mechanical Engineers (ASME). https://doi.org/10.1115/IMECE1996-0039

Nonaxisymmetric radiative transfer in cylindrical enclosures. / Moder, Jeffrey P.; Chai, John C.; Parthasarathy, Girija et al.
Heat Transfer: Volume 1 � Heat Transfer in Microgravity Systems; Radiative Heat Transfer and Radiative Heat Transfer in Low-Temperature Environments; Thermal Contact Conductance and Inverse Problems in Heat Transfer. American Society of Mechanical Engineers (ASME), 1996. p. 153-161 (ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE); Vol. 1996-AH).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Moder, JP, Chai, JC, Parthasarathy, G, Lee, HS & Patankar, SV 1996, Nonaxisymmetric radiative transfer in cylindrical enclosures. in Heat Transfer: Volume 1 � Heat Transfer in Microgravity Systems; Radiative Heat Transfer and Radiative Heat Transfer in Low-Temperature Environments; Thermal Contact Conductance and Inverse Problems in Heat Transfer. ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE), vol. 1996-AH, American Society of Mechanical Engineers (ASME), pp. 153-161, ASME 1996 International Mechanical Engineering Congress and Exposition, IMECE 1996, Atlanta, United States, 11/17/96. https://doi.org/10.1115/IMECE1996-0039

Moder JP, Chai JC, Parthasarathy G, Lee HS, Patankar SV. Nonaxisymmetric radiative transfer in cylindrical enclosures. In Heat Transfer: Volume 1 � Heat Transfer in Microgravity Systems; Radiative Heat Transfer and Radiative Heat Transfer in Low-Temperature Environments; Thermal Contact Conductance and Inverse Problems in Heat Transfer. American Society of Mechanical Engineers (ASME). 1996. p. 153-161. (ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)). doi: 10.1115/IMECE1996-0039

Moder, Jeffrey P. ; Chai, John C. ; Parthasarathy, Girija et al. / Nonaxisymmetric radiative transfer in cylindrical enclosures. Heat Transfer: Volume 1 � Heat Transfer in Microgravity Systems; Radiative Heat Transfer and Radiative Heat Transfer in Low-Temperature Environments; Thermal Contact Conductance and Inverse Problems in Heat Transfer. American Society of Mechanical Engineers (ASME), 1996. pp. 153-161 (ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)).

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abstract = "A finite-volume method for radiative transfer in cylindrical enclosures is presented. Angular redistribution terms in the equation of transfer are avoided by defining radiation directions in terms of angular coordinates measured with respect to Cartesian base vectors; this definition of radiation directions can result in control angles which overlap control-volume faces, depending on the type of spatial and angular grids used in the azimuthal direction. A simple treatment for such control-Angle overlaps is presented which is also applicable to nonorthogonal curvilinear spatial-coordinates. A comparison of the present procedure with other similar methods is given. Solutions are presented for axisymmetric transfer through a cylinder and nonaxisymmetric transfer through two-And threedimensional annular sectors. Results show that the procedure produces reasonable solutions for transparent and participating media in axisymmetric and nonaxisymmetric cylindrical enclosures.",

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AB - A finite-volume method for radiative transfer in cylindrical enclosures is presented. Angular redistribution terms in the equation of transfer are avoided by defining radiation directions in terms of angular coordinates measured with respect to Cartesian base vectors; this definition of radiation directions can result in control angles which overlap control-volume faces, depending on the type of spatial and angular grids used in the azimuthal direction. A simple treatment for such control-Angle overlaps is presented which is also applicable to nonorthogonal curvilinear spatial-coordinates. A comparison of the present procedure with other similar methods is given. Solutions are presented for axisymmetric transfer through a cylinder and nonaxisymmetric transfer through two-And threedimensional annular sectors. Results show that the procedure produces reasonable solutions for transparent and participating media in axisymmetric and nonaxisymmetric cylindrical enclosures.

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Nonaxisymmetric radiative transfer in cylindrical enclosures

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