Modal analysis of convection in a rotating fluid

Details Modal analysis of convection in a rotating fluid Modal analysis of convection in a rotating fluid

Oct 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975jats...32.1909b&link_type=abstract

Journal of the Atmospheric Sciences, vol. 32, Oct. 1975, p. 1909-1920.

Computer Science

13

Atmospheric Circulation, Convective Flow, Modal Response, Rotating Fluids, Asymptotic Methods, Boussinesq Approximation, Nusselt Number, Partial Differential Equations, Time Dependence

Scientific paper

The Boussinesq modal equations for convection in a horizontal fluid layer rotating about a vertical axis are expanded in the planform functions of linear theory. A finite difference technique is used to solve the one-mode equations at arbitrary Rayleigh number. For large Rayleigh numbers, moderate Prandtl numbers and rigid boundaries, steady solutions are found which display nonmonotonic dependence of heat flux on rotation rate even when the horizontal wavenumber is fixed. It is concluded that rotation does not necessarily suppress convection and reduce heat flux. It is shown that the one-mode approximation permits simulation of time-dependent rotating convection with an entirely modest computing effort.

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