<p>Ruckenstein (1959, 1967) proposed the theories for the heat and mass transfer between translating spherical bubbles and drops, and a continuous liquid based on the potential flow theory of the fluid motion. The author obtained the expressions for Nusselt number Nu and Sherood number Sh, solving analytically the equations of energy and mass, respectively. The approximations such as ideal continuous fluid, spherical interface of constant radius, thin thermal layer and the rectilinear motion of the fluid sphere were included while solving the equations. With the quasi-steady approximation of the spherical interface of constant radius, the fluid sphere looks like a solid sphere, in which the tangential stress at the interface can be ignored, unless the Reynolds number Re is fairly high. In contrary, the author considered the tangential stress at the interface for the spherical bubbles and drops. In this work, we have solved for the analytical solutions of the equations in a spherical geometry in the steady and potential flow using the method of similarity transformation. The analysis has been extended for the case of a solid sphere, in which the tangential stress at the interface can be ignored. Though this case does not apply to a vapour bubble, which is extremely “labile” and condenses very fast with a significant deformation of the interface, it is considerably important in the propulsion including the injection of gas bubble. It is also shown that the assumption of the translation (rectilinear) motion does not work for the cases with dominating centrifugal and Coriolis forces. It is also interesting to note that the effect of the scaling of the similarity variable remarkably changes the scaling factors in the transport laws.</p>