Heat exchange between rotating disks

Heat transfer between an infinite disk and a half-space filled with a viscous incompressible fluid performing rigid body rotation at an infinite distance from the disk is analyzed. It is shown that the equations of continuity, the Navier-Stokes equations, and the energy equations reduce to a system of ordinary differential equations. The present equations are considered in a linear approximation for close velocities of rotation of the fluid and the disk. Under these conditions, the thickness of the thermal boundary layer exceeds by many times the thickness of the hydrodynamic boundary layer. This fact can be accounted for by the difference in the mechanisms forming these boundary layers.