Double diffusive reaction-convection in viscous fluid layer

Subject Areas : International Journal of Industrial Mathematics

Vinod K. Gupta ¹ , A. K. Singh ²

1 - Department of Mathematics, Faculty of Science, Banaras Hindu University, Varanasi -221005, India.
2 - Department of Mathematics, Faculty of Science, Banaras Hindu University, Varanasi -221005, India

Received: 2014-10-29 Accepted : 2014-10-29 Published : 2014-11-01

Keywords: Double diffusive convection, Chemical reaction, viscous fluid,

Abstract :

In the present study, the onset of double diffusive reaction-convection in a uid layer with viscous fluid, heated and salted from below subject to chemical equilibrium on the boundaries, has been investigated. Linear and nonlinear stability analysis have been performed. For linear analysis normal mode technique is used and for nonlinear analysis minimal representation of truncated Fourier series is used. The effect of Lewis number, solute Rayleigh number, reaction rate and Prandtl number on the stability of the system is investigated. A weak nonlinear theory based on the truncated representation of Fourier series method is used to nd the heat and mass transfer.