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Drag and pressure fields for the MHD flow around a circular cylinder at intermediate Reynolds numbers

T. V. S. Sekhar, R. Sivakumar and T. V. R. Ravi Kumar

Journal of Applied Mathematics, 2005, vol. 2005, issue 3, 183-203

Abstract: Steady incompressible flow around a circular cylinder in an external magnetic field that is aligned with fluid flow direction is studied for Re (Reynolds number) up to 40 and the interaction parameter in the range 0 ≤ N ≤ 15 (or 0 ≤ M ≤ 30), where M is the Hartmann number related to N by the relation M=2NRe, using finite difference method. The pressure‐Poisson equation is solved to find pressure fields in the flow region. The multigrid method with defect correction technique is used to achieve the second‐order accurate solution of complete nonlinear Navier‐Stokes equations. It is found that the boundary layer separation at rear stagnation point for Re = 10 is suppressed completely when N

Date: 2005
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https://doi.org/10.1155/JAM.2005.183

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