Statistics – Computation
Scientific paper
Jan 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983jfm...126..287c&link_type=abstract
Journal of Fluid Mechanics, vol. 126, Jan. 1983, p. 287-305. NSF-supported research;
Statistics
Computation
59
Computational Fluid Dynamics, Convective Flow, Free Convection, Rotating Fluids, Spherical Shells, Asymptotes, Buoyancy
Scientific paper
Convection in a rapidly rotating spherical layer with constant-temperature boundary conditions is studied in a laboratory experiment. The asymptotic theory of Busse (1970) is extended to permit a comparison with the observations of the onset of convection and its properties. It is found that the prediction of the power-law dependences of the critical buoyancy number and the critical wavenumber on the rotation rate are borne out, although discrepancies in the actual values of these quantities do exist. Calculations on the basis of equations proposed by Roberts (1968) show that a thermal wind that is present in the basic state of the model has a stabilizing influence on the onset of convection. Stewartson layers not taken into account in the asymptotic analysis for vanishing Ekman number E appear to be responsible for the remaining disagreement between theoretical predictions and observations at finite values of E.
Busse Friedrich H.
Carrigan C. R.
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