Non-Linear Two Dimensional Double Diffusive Convection in a Rotating Porous Layer Saturated by a Viscoelastic Fluid |
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Authors: | Anoj Kumar B S Bhadauria |
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Institution: | 1.DST-Centre for Interdisciplinary Mathematical Sciences, Department of Mathematics, Faculty of Science,Banaras Hindu University,Varanasi,India |
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Abstract: | Double diffusive convection in a rotating anisotropic porous layer, saturated by a viscoelastic fluid, heated from below and
cooled from above has been studied making linear and non-linear stability analyses. The fluid and solid phases are considered
to be in equilibrium. In momentum equation, we have employed the Darcy equation which includes both time derivative and Coriolis
terms. The linear theory based on normal mode method is considered to find the criteria for the onset of stationary and oscillatory
convection. A weak non-linear analysis based on minimal representation of truncated Fourier series analysis containing only
two terms has been used to find the Nusselt number and Sherwood number as functions of time. We have solved the finite amplitude
equations using a numerical scheme. The results obtained, during the above analyses, have been presented graphically and the
effects of various parameters on heat and mass transfer have been discussed. Finally, we have drawn the steady and unsteady
streamlines, isotherms, and isohalines for various parameters. |
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