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On MHD transient flow of a Maxwell fluid in a porous medium and rotating frame. (English) Zbl 1217.76086

Summary: Analytic solution for unsteady magnetohydrodynamic (MHD) flow is constructed in a rotating non-Newtonian fluid through a porous medium. Constitutive equations for a Maxwell fluid have been taken into consideration. The hydromagnetic flow in the uniformly rotating fluid is generated by a suddenly moved infinite plate in its own plane. Analytic solution of the governing flow problem is obtained by means of the Fourier sine transform. It is shown that the obtained solution satisfies both the associate partial differential equation and the initial and boundary conditions. The solution for a Navier-Stokes fluid is recovered if \(\lambda \rightarrow 0\). The steady state solution is also obtained for \(t\rightarrow \infty \).

MSC:

76W05 Magnetohydrodynamics and electrohydrodynamics
76S05 Flows in porous media; filtration; seepage
76A05 Non-Newtonian fluids
76U05 General theory of rotating fluids
82D10 Statistical mechanics of plasmas
76D05 Navier-Stokes equations for incompressible viscous fluids
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References:

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