Abstract
NOMENCLATURE surface area of heater ; heat capacity of fluid ; diameter of a sphere or cylinder; total buoyant force on heater and total drag force on heater; acceleration of gravity ; average heat transfer coefficient; thermal conductivity of fluid; distance traveled by the boundary layer from bottom to top of heater; Nusselt number, hL/k; Prandtl number, pc,/k; Rayleigh number, gjATp2cpL3/pk ; local temperature, overbar denotes average of T over y in b.l., subscript denotes T in fluid bulk ; local velocity in a boundary layer, overbar denotes average of a over y in b.1. ; a characteristic velocity used by Eckert (not used in the present study); distance normal to heater wall ; coefficient of thermal expansion ; boundary layer thickness ; thickness of effective shear layer; thickness of layer with energy equal to that in the boundary layer ; difference between temperature of wall and temperature of fluid bulk. viscosity ; density of fluid.
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