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Zbl 1222.76039
Magyari, E.; Kumaran, V.
Generalized crane flows of micropolar fluids. (English)
[J] Commun. Nonlinear Sci. Numer. Simul. 15, No. 11, 3237-3240 (2010). ISSN 1007-5704

Summary: The hydromagnetic flow induced by a continuous stretching surface in a quiescent micropolar fluid is revisited. 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.
MSC 2000:
*76D10 Boundary-layer theory (incompressible fluids)
76A05 Non-Newtonian fluids

Keywords: micropolar fluid; MHD flow; stretching surface; arbitrary stretching velocity; transpiration velocity; exact solution

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