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Year 2008, Volume 35 / Issue 1

DOI: 10.1615/InterJFluidMechRes.v35.i1

Pages: 95

DOI: 10.1615/InterJFluidMechRes.v35.i1.20

Article price - $70.00

Numerical Study of Double-Diffusive Magnetoconvection in a Cylindrical Annulus

M. Sankar
Department of Mathematics, Sapthagiri College of Engineering, Bangalore - 560 057, India

M. Venkatachalappa
UGC Centre for Advanced Studies in Fluid Mechanics, Department of Mathematics, Bangalore University, Bangalore 560 001, India

A numerical study is performed to understand the effect of axial or radial magnetic field on double-diffusive natural convection in a vertical cylindrical annular cavity. The boundary conditions at the side walls are imposed in such a way that the thermal and solutal buoyancy effects are counteracting, resulting in an opposing gradient flow configuration. The top and bottom walls are insulated and impermeable. The governing nonlinear, coupled partial differential equations in vorticity-stream function form are solved by ADI method with second upwind difference for non linear convective terms and SLOR method. Total heat and mass transfer rates across the cavity are calculated by evaluating average Nusselt and Sherwood numbers. The main objective of the present numerical study is to comprehend the effect of magnetic field on the double-diffusive convection in the annular cavity. Accordingly distinct flow regimes in the steady state are obtained for a wide range of physical parameters of the problem. The validation of present numerical code have been performed in the limiting case of no magnetic field and pure thermal convection and is found to be in good agreement.

pages 19-37

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