Heat Transfer from Single Spheres in a Low Reynolds Number Slip Flow

Abstract

The effect of velocity slip and temperature jump on the heat transfer from a sphere in a low Reynolds number flow is investigated theoretically for large and small values of the Péclet number. A singular perturbation technique is used to obtain the small Péclet number solution while a boundary layer analysis is used to obtain the large Péclet number results. Expressions are derived for the average Nusselt number in each case. It is shown that for small Péclet numbers velocity slip can be neglected in the first approximation however this is not found to be the case for large Péclet numbers.