Couette flow and heat transfer in a rotating system

The steady flow of a viscous incompressible fluid between two infinite parallel plates, one of which moves with a uniform velocity in a rotating frame of reference, is examined. The velocity distributions are plotted, and the heat transfer characteristics of the system are analyzed. It is found that the rate of heat transfer decreases with increases in the Prandtl number or rotation parameter, as does the critical Eckert number. The critical Eckert number is always smaller in the presence than in the absence of rotation. It is noted that as the Eckert number increases from zero, heat will flow from the fluid to the upper wall at a lower value of the Eckert number than in the absence of rotation.