Higher order heat transfer from a rotating sphere

Asymptotic expansions are used to study the higher order heat transfer from a sphere rotating in a fluid at low Reynolds number about the z-axis when the free stream velocity is directed along the x-axis. Navier-Stokes equations involving the effect of the azimuthal velocity both in the Stokes (inner) and the Oseen (outer) regions give the velocity field equations which are used to determine the forced convection field for the above asymmetric case. It is found that the Nusselt number is affected by the rotation at terms of the order of the square of the product of the Prandtl and Reynolds numbers.