The authors solve the equations for a steady-state laminar boundary layer around a revolving body (sphere, extended and flattened ellipsoids). Hydrogen gas at 25 degrees C flows upwards around the body. Its nose faces downwards, the temperature at its surface is 500 degrees C, and it rotates about its vertical axis at a constant velocity. The variation in the physical properties of the fluid as a function of the temperature is considered as well as the resulting natural convection. The results of the calculation using the finite difference method show a good agreement with those in the literature. It is revealed that it is possible to control the development of a thermal boundary layer using the operational conditions, especially the contour of the body.