Abstract

The effects of an acoustic wave on the in- stabilities occurring in a lateral differentially heated cav- ity are investigated numerically. Linear stability results show that the acoustic wave affects significantly the in- stability characteristics of such a Hadley flow. Indeed, the soundfield is found to stabilizeboth two dimensional transverse stationary and three dimensional longitudinal oscillatoryinstabilitieswhich are the most critical modes affecting the buoyant convection in the fluid layer. Nev- ertheless, when stabilized by an acoustic wave, the 2D modes turn fromstationaryto oscillatory,withtheknown consequences of such a change on mass and heat trans- fer, especiallyinhorizontalBridgmancrystalgrowthpro- cess. Thesecondfeaturetobementionedisthatthelinear stabilitypredictsadestabilizationof3Dstationarymodes that in the absence of acousticwaves are known to be ex- cited at threshold values of the Grashof number highly above those of the two primary instabilities.

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