Internal heating and Soret effect on Darcy - Brinkman convection in a binary viscoelastic fluid saturated porous layer
Kanchan Shakya,  B.S. Bhadauria
Linear and nonlinear analyses have been done and the combine effect of internal heating and Soret effect on Darcy - Brinkman convection in a binary viscoelastic fluid saturated porous layer, heated and salted from below, has been studied, analytically. Linear stability analysis has been performed by using normal mode technique and nonlinear analysis is done using truncated Fourier series. The modified Darcy-Brinkman-Oldroyd model, including the time derivative term, is employed for the momentum equation. The effects of Darcy number, Soret parameter, relaxation and retardation parameters, solute Rayleigh number, internal heat source, Lewis number and Darcy-Prandtl number on stationary and oscillatory convection are shown graphically. Also heat and mass transports are calculated in terms of the Nusselt number and Sherwood number and presented graphically.
Keywords- Double diffusive convection; Viscoelastic fluid; Internal heat source; Soret parameter; Porous media.
Cite this Article
Kanchan Shakya,  B.S. Bhadauria,   "Internal heating and Soret effect on Darcy - Brinkman convection in a binary viscoelastic fluid saturated porous layer"
, International Journal of Engineering Development and Research (IJEDR), ISSN:2321-9939, Volume.6, Issue 4, pp.119-130, October 2018, Available at :http://www.ijedr.org/papers/IJEDR1804022.pdf