Soret effect on double diffusive convection in a Darcy porous medium saturated with a couple stress fluid

作者: M.S. Malashetty , Ioan Pop , Premila Kollur , W. Sidram

DOI: 10.1016/J.IJTHERMALSCI.2011.11.001

关键词: MechanicsNusselt numberLewis numberRayleigh numberPhysicsMass transferDouble diffusive convectionConvectionDarcy–Weisbach equationThermophoresisThermodynamics

摘要: Double diffusive convection in a couple stress fluid saturated porous layer with Soret effect is studied using linear and weak non-linear stability analyses. The analysis based on the classical normal mode technique, while truncated representation of Fourier series. modified Darcy equation that includes time derivative term used to model momentum equation. expressions for stationary, oscillatory finite amplitude Rayleigh number are obtained as function governing parameters. parameter, Lewis number, solute Vadasz parameter normalized porosity shown graphically. It found quite large positive has destabilizing effect, negative stabilizing convection. case stationary modes, modes. heat mass transfer decreases an increase values both value number. contrasting transfer. transient behavior Nusselt Sherwood numbers by solving numerically fifth order Lorenz type system Runge-Kutta method.

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