Natural convection in a sound field giving large streaming Reynolds numbers

Abstract

Natural convection around a horizontal circular isothermal cylinder is considered in conjunction with a transverse standing sound field propagated in the vertical or the horizontal direction. The problem is treated within the framework of boundary-layer theory with the formulation including creation or modification of the steady convective motion by the Reynolds stresses associated with the oscillations. Results are presented for a range of parameters expressing boundary layer quantities and oscillation magnitudes for Pr = 0.7 and 2.85. Horizontal oscillations increase heat transfer at the bottom of a cylinder, and vertical oscillations decrease the local heat transfer; when the intensity of vertical oscillations is large enough, a region of reversed flow develops; corresponding effects have been observed in experiments.