Effect of magnetic Reynolds number on the two‐dimensional hydromagnetic flow around a cylinder |
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| Authors: | T V S Sekhar R Sivakumar T V R Ravi Kumar |
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| Institution: | 1. Department of Mathematics, Pondicherry Engineering College, Puducherry 605014, India;2. Department of Physics, Pondicherry University, Puducherry 605014, India;3. Department of Applied Mathematics, Ideal College of Arts and Sciences, Kakinada 533003, India |
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| Abstract: | Numerical experiments have been conducted to study the effect of magnetic Reynolds number on the steady, two‐dimensional, viscous, incompressible and electrically conducting flow around a circular cylinder. Besides usual Reynolds number Re, the flow is governed by the magnetic Reynolds number Rm and Alfvén number β. The flow and magnetic field are uniform and parallel at large distances from the cylinder. The pressure Poisson equation is solved to find the pressure fields in the entire flow region. The effects of the magnetic field and electrical conductivity on the recirculation bubble, drag coefficient, standing vortex and pressure are presented and discussed. For low interaction parameter (N<1), the suppression of the flow‐separation is nearly independent of the conductivity of the fluid, whereas for large interaction parameters, the conductivity of the fluid strongly influences the control of flow‐separation. Copyright © 2008 John Wiley & Sons, Ltd. |
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| Keywords: | magnetic Reynolds number flow‐separation flow control magnetohydrodynamics drag coefficient full MHD |
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