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Effect of radiation absorption on the onset of instability of a rotating fluid in a porous medium

Author: 
Esekhaigbe Edwin, C.Israel-Cookey, E. N Ekaka-a, Anetor Osemenkhian, Alex Musa and Ebhohimen Fidelis
Subject Area: 
Physical Sciences and Engineering
Abstract: 

The effect of radiation absorption on the onset of instability of a rotating fluid layer driven by convection is investigated when the fluid is heated from below in a porous medium taking into consideration viscous effect. The Boussinesq approximation is used for the radiative absorption in the energy equation. Using the linearised stability theory and normal mode analysis, the criteria for the onset of instability via stationary convection is obtained for the case of two free boundaries. Analytical expressions have been found for the onset of stationary and oscillatory instabilities and for the oscillatory frequency, which depend on the rate of radiation absorption. The critical wave number and the oscillatory frequency also depend strongly on this quantity. Graphs have been drawn and the results discussed with their help. The oscillatory thermal Rayleigh number for various values of of T,kc, and B are shown in Table 1.

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