Double-Diffusive Convection in a Saturated Anisotropic Porous Layer with Internal Heat Source |
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Authors: | B S Bhadauria |
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Institution: | 1.Department of Applied Mathematics and Statistics, School for Physical Sciences,Babasaheb Bhimrao Ambedkar University,Lucknow,India |
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Abstract: | In the present study, double-diffusive convection in an anisotropic porous layer with an internal heat source, heated and
salted from below, has been investigated. The generalized Darcy model is employed for the momentum equation. The fluid and
solid phases are considered to be in equilibrium. Linear and nonlinear stability analyses have been performed. For linear
theory normal mode technique has been used, while nonlinear analysis is based on a minimal representation of truncated Fourier
series. Heat and mass transfers across the porous layer have been obtained in terms of Nusselt number Nu and Sherwood number Sh, respectively. The effects of internal Rayleigh number, anisotropy parameters, concentration Rayleigh number, and Vadasz
number on stationary, oscillatory, and weak nonlinear convection are shown graphically. The transient behaviors of Nusselt
number and Sherwood number have been investigated by solving the finite amplitude equations using a numerical method. Streamlines,
isotherms, and isohalines are drawn for both steady and unsteady (time-dependent) cases. The results obtained, during the
above analyses, have been presented graphically, and the effects of various parameters on heat and mass transfers have been
discussed. |
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Keywords: | |
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