Generalized Crane flows of micropolar fluids

The hydromagnetic flow induced by a continuous stretching surface in a quiescent micropolar fluid is revisited in this Note. It is shown that the problem admits an exact analytical solution for arbitrary differentiable stretching velocities when the surface is permeable and a suitable lateral suction/injection of the fluid is applied. This result generalizes the classical Crane-type solutions which hold for linear stretching velocities only.