ON HEAT TRANSFER IN UNSTEADY VON KARMAN FLOW

Heat transfer in revolving flow driven by a decelerating rotating disk has been considered. The well-known similarity transformation of the three-dimensional flow problem has been extended to also transform the thermal energy equation into an ordinary differential equation. An analytical solution has been derived for the temperature distribution in the vicinity of the disk. Sample solutions of the resulting two-parameter problem have been presented to illustrate the combined effects of deceleration and thermal diffusivity. One could observe that the thermal boundary layer became thinner at higher Prandtl numbers and for faster disk deceleration.