Natural convection in a rotating anisotropic porous layer with internal heat generation |
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Authors: | B S Bhadauria Anoj Kumar Jogendra Kumar Nirmal C Sacheti Pallath Chandran |
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Institution: | 1.Department of Applied Mathematics and Statistics, School of Physical Sciences,Babasaheb Bhimrao Ambedkar University,Lucknow,India;2.DST-Centre for Interdisciplinary Mathematical Sciences, Department of Mathematics, Faculty of Science,Banaras Hindu University,Varanasi,India;3.Department of Mathematics and Statistics, College of Science,Sultan Qaboos University,Al Khod, Muscat,Sultanate of Oman |
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Abstract: | In this article, linear and nonlinear thermal instability in a rotating anisotropic porous layer with heat source has been
investigated. The extended Darcy model, which includes the time derivative and Coriolis term has been employed in the momentum
equation. The linear theory has been performed by using normal mode technique, while nonlinear analysis is based on minimal
representation of the truncated Fourier series having only two terms. The criteria for both stationary and oscillatory convection
is derived analytically. The rotation inhibits the onset of convection in both stationary and oscillatory modes. Effects of
parameters on critical Rayleigh number has also been investigated. A weak nonlinear analysis based on the truncated representation
of Fourier series method has been used to find the Nusselt number. The transient behavior of the Nusselt number has also been
investigated by solving the finite amplitude equations using a numerical method. Steady and unsteady streamlines, and isotherms
have been drawn to determine the nature of flow pattern. The results obtained during the analysis have been presented graphically. |
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