Effect of Internal Heat Generation on the Onset of Rayleigh-Bѐnard Chandrashekar Convection in a Micropolar Fluid with Maxwell Cattàneo Law

Abstract

Abstract

The effect of result from the substitution of the classical Fourier law by the nonclassical Maxwell-Cattàneo law and influence of internal heat generation on the Rayleigh-Bѐnard Chandrashekar internal heat generation parameter has a significant impact on the thermal mode making the system unstable. The eigen value is obtained for free-free, rigid-free and rigid-rigid velocity boundary combinations with isothermal temperature on the spin-vanishing boundaries. The influence of various micropolar fluid parameters are analysed on the onset convection. The classical approach predicts an infinite speed for the propogation of heat. The present nonclassical theory involves a wave type heat transport (SECOND SOUND) and does not suffer from the physically unacceptable drawback of infinite heat propogation speed. It is found that the results are noteworthy at short times and critical eigen values are less than the classical ones. 

Keywords: Rayleigh-Bѐnard Chandrashekar convection, Micropolar Fluid, Maxwell- Cattàneo Law, Internal heat generation

Cite this Article

Priyanka HJ, Pranesh S. Effect of Internal Heat Generation on the Onset of Rayleigh-Bѐnard Chandrashekar Convection in a Micropolar Fluid with Maxwell Cattàneo Law. Recent Trends in Fluid Mechanics. 2018; 5(1): 31–43p.