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Partial spectral expansions for problems in thermal convection

Publication ,  Journal Article
Shaughnessy, EJ; Custer, J; Douglass, RW
Published in: Journal of Heat Transfer
January 1, 1978
Published version (DOI)

The use of spectral expansions for solving nonlinear partial differential equations is explained, and two examples drawn from convective heat transfer are presented. For both problems the results agree well with regular perturbation solutions at parameter values for which the latter remain valid. Evidence is given to indicate that the spectral solutions are valid for considerably larger parameter values than can be reached with the perturbation methods. © 1978 by ASME.

Duke Scholars

Edward J. Shaughnessy
Author Edward J. Shaughnessy Thomas Lord Department of Mechanical Engineering and Materia ...

Published In

Journal of Heat Transfer

DOI

10.1115/1.3450827

EISSN

1528-8943

ISSN

0022-1481

Publication Date

January 1, 1978

Volume

100

Issue

3

Start / End Page

435 / 441

Related Subject Headings

  • Mechanical Engineering & Transports
  • 4012 Fluid mechanics and thermal engineering
  • 0915 Interdisciplinary Engineering
  • 0913 Mechanical Engineering
  • 0904 Chemical Engineering
 

Citation

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ICMJE
MLA
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Shaughnessy, E. J., Custer, J., & Douglass, R. W. (1978). Partial spectral expansions for problems in thermal convection. Journal of Heat Transfer, 100(3), 435–441. https://doi.org/10.1115/1.3450827
Shaughnessy, E. J., J. Custer, and R. W. Douglass. “Partial spectral expansions for problems in thermal convection.” Journal of Heat Transfer 100, no. 3 (January 1, 1978): 435–41. https://doi.org/10.1115/1.3450827.
Shaughnessy EJ, Custer J, Douglass RW. Partial spectral expansions for problems in thermal convection. Journal of Heat Transfer. 1978 Jan 1;100(3):435–41.
Shaughnessy, E. J., et al. “Partial spectral expansions for problems in thermal convection.” Journal of Heat Transfer, vol. 100, no. 3, Jan. 1978, pp. 435–41. Scopus, doi:10.1115/1.3450827.
Shaughnessy EJ, Custer J, Douglass RW. Partial spectral expansions for problems in thermal convection. Journal of Heat Transfer. 1978 Jan 1;100(3):435–441.

Published In

Journal of Heat Transfer

DOI

10.1115/1.3450827

EISSN

1528-8943

ISSN

0022-1481

Publication Date

January 1, 1978

Volume

100

Issue

3

Start / End Page

435 / 441

Related Subject Headings

  • Mechanical Engineering & Transports
  • 4012 Fluid mechanics and thermal engineering
  • 0915 Interdisciplinary Engineering
  • 0913 Mechanical Engineering
  • 0904 Chemical Engineering