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The second-law analysis of convective pattern change in a rectangular cavity

Published online by Cambridge University Press:  10 August 1999

UICHIRO NARUSAWA
UICHIRO NARUSAWA
Affiliation:
MIME Department (Department of Mechanical, Industrial and Manufacturing Engineering), Northeastern University, Boston, MA 02115, USA
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Abstract

Natural convection in a rectangular cavity is examined, utilizing the second law of thermodynamics. Through an application of the second law the rate of entropy generation associated with the convective pattern changes is evaluated for the onset of natural convection in a cavity with free boundaries, for which an exact solution is sought, as well as with rigid boundaries which is studied numerically. Entropy to be generated from the perturbed temperature and velocity fields is shown to depend on AR (aspect ratio of the cavity), Rac (the critical Rayleigh number) and a non-dimensional parameter, Ω, which is related to the ratio of entropy generation by viscous friction to that by thermal transport. The convective pattern change is related to a change in the spatial distributions of the rate of entropy generation due to heat transfer and due to dissipation, demonstrating that an application of the second law helps examine convective pattern changes quantitatively by dealing with temperature and velocity fields in a unified manner.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 392 , 10 August 1999 , pp. 361 - 377
Copyright
© 1999 Cambridge University Press

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