Thermal Instability in a Second-Order Fluid under the Effects of Suction-Injection-Combination and Maxwell-Cattaneo Law

Abstract

Abstract

The onset of Rayleigh-Bénard convection in a Second-Order fluid under the effects of Suction-Injection-Combination and Maxwell-Cattaneo Law is studied. The classical Fourier law is replaced with the Non-Classical Maxwell-Cattaneo heat flux law in the energy equation. A linear stability analysis is performed to obtain the eigenvalues for free-free isothermal boundary conditions. The influence of the parameters like Cattaneo number, Prandtl number, and Visco-elastic parameter has been analysed and found that Prandtl number and Visco-elastic parameter affects the stability of the system depending on the SIC being pro-gravity or anti-gravity.

Keywords: Rayleigh Bénard Convection, Second-Order fluid, Maxwell-Cattaneo Law, Suction-Injection-Combination

Cite this Article

Vidyashri A Kolavi, Smita S Nagouda, Thermal Instability in a Second-Order Fluid under the Effects of Suction-Injection-Combination and Maxwell-Cattaneo Law. Recent Trends in Fluid Mechanics. 2018; 5(1): 75–85p.