Flow dynamics and heat transfer in a rotating slit-shaped channel

In the present paper, solutions of the Navier-Stokes equations and the energy equation are analyzed for the incompressible flow in a slit-shaped channel of constant height, rotating uniformly about an axis perpendicular to the channel plane. It is shown that with increasing Reynolds number (constructed with respect to the angular velocity), the flow changes from a flow with a parabolic profile of the longitudinal velocity component to a flow characteristic of such rapidly rotating systems as a geostrophic core flow or an Ekman layer at channel walls perpendicular to the axis of rotation. The resistance of the channel is shown to increase continuously with increasing Reynolds number, while the maximal increase in Nusselt number is roughly 50 percent.