Mixed convection about a rotating sphere
The paper presents a theoretical analysis of flow and heat transfer characteristics of the effects of buoyancy force on laminar boundary layer over a rotating sphere in forced flow under two kinds of heating conditions: uniform wall temperature and uniform surface heat flux. By applying appropriate coordinate transformations and using \textit{H. J. Merk}'s types of series [J. Fluid Mech. 5, 460-480 (1959; Zbl 0088.182)], the governing momentum and energy equations are reduced to a set of coupled ordinary differential equations, which depend on wedge, rotation and buoyancy parameters. Numerical computations are carried out for Prandtl numbers 0.7, 1.0 and for various values of buoyancy and rotation parameters.
set of coupled ordinary differential equations
scientific article; zbMATH DE number 3906120