Wavenumber selection in Benard convection

Journal Article · Tue Nov 01 00:00:00 EST 1988 · J. Heat Transfer; (United States)

DOI:https://doi.org/10.1115/1.3250617· OSTI ID:6611626

Catton, I

The results of three related studies dealing with wavenumber selection in Rayleigh--Benard convection are reported. The first, an extension of the power integral method, is used to argue for the existence of multi-wavenumbers at all supercritical wavenumbers. Most existing closure schemes are shown to be inadequate. A thermodynamic stability criterion is shown to give reasonable results but requires empirical measurement of one parameter for closure. The third study uses an asymptotic approach based in part on geometric considerations and requires no empiricism to obtain good predictions of the wavenumber. These predictions, however, can only be used for certain planforms of convection.

• Research Organization: Mechanical, Aerospace and Nuclear Engineering Department, University of California, Los Angeles, CA 90024-1597
• OSTI ID: 6611626
• Journal Information: J. Heat Transfer; (United States), Vol. 110:4
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
FLUIDS
CONVECTION
ASYMPTOTIC SOLUTIONS
EIGENFUNCTIONS
LAYERS
MEAN-FIELD THEORY
ENERGY TRANSFER
FUNCTIONS
HEAT TRANSFER
MASS TRANSFER
420400* - Engineering- Heat Transfer & Fluid Flow