Series solution of unsteady heat or mass transfer to a translating fluid sphere

Abstract A recently developed analytical technique of solving unsteady heat or mass transfer equations is applied to the case of a translating fluid sphere with the explicit purpose of scrutinizing the mathematical accuracy of the method. It is demonstrated that the technique could not only yield the surface response characteristics with high accuracy but also the details of the transient temperature or concentration field as well. Certain features of the solution, not previously recognized, are pointed out.