Large aspect ratio cells in two-dimensional thermal convection

Details Large aspect ratio cells in two-dimensional thermal convection Large aspect ratio cells in two-dimensional thermal convection

Dec 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980e%26psl..51..370h&link_type=abstract

Earth and Planetary Science Letters, Volume 51, Issue 2, p. 370-380.

Physics

36

Scientific paper

Numerical experiments have been carried out on two-dimensional thermal convection, in a Boussinesq fluid with infinite Prandtl number, at high Rayleigh numbers. With stress free boundary conditions and fixed heat flux on upper and lower boundaries, convection cells develop with aspect ratios (width/depth) λ  5, if heat is supplied either entirely from within or entirely from below the fluid layer. The preferred aspect ratio is affected by the lateral boundary conditions. If the temperature, rather than the heat flux, is fixed on the upper boundary the cells have λ ~ 1. At Rayleigh numbers of 2.4 × 105 and greater, small sinking sheets are superimposed on the large aspect ratio cells, though they do not disrupt the circulation. Similar two-scale flows have been proposed for convection in the earth's mantle. The existence of two scales of flow in two-dimensional numerical experiments when the viscosity is constant will allow a variety of geophysically important effects to be investigated.

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