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The Adiabatic Conditions on Inner Boundary for Natural Convection With Porous Medium in a Narrow Horizontal Cylindrical Annulus

[+] Author Affiliations
Kamyar Mansour

Amirkabir University of Technology, Tehran, Iran; Flow Research and Engineering, San Jose, CA

Paper No. IPACK2007-33086, pp. 129-134; 6 pages
  • ASME 2007 InterPACK Conference collocated with the ASME/JSME 2007 Thermal Engineering Heat Transfer Summer Conference
  • ASME 2007 InterPACK Conference, Volume 2
  • Vancouver, British Columbia, Canada, July 8–12, 2007
  • Conference Sponsors: Electronic and Photonic Packaging Division
  • ISBN: 0-7918-4278-9 | eISBN: 0-7918-3801-3
  • Copyright © 2007 by ASME


We consider the two-dimensional problem of steady natural convection in a narrow Horizontal Cylindrical annulus filled with porous medium due to a cosine temperature variation on the outer and adiabatic conditions at the inner boundaries The solution is expanded in powers of a single combined similarity parameter, which is the product of the Gap ratio to the power of two and Rayleigh number and the series extended by means of symbolic calculation up to 28 terms. Analysis of these expansions allows the exact computation for arbitrarily accuracy up to 50000 figures. Although the range of the radius of convergence is small but Pade approximation leads our result to be good even for much higher value of the similarity parameter.

Copyright © 2007 by ASME



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