Title: Double diffusion, slips and variable diffusivity effects on combined heat mass transfer with variable viscosity via a point transformation

Authors: M. Ferdows; Md. J. Uddin; Tania S. Khaleque

Addresses: Department of Mathematics, University of Dhaka, Dhaka 1000, Bangladesh ' School of Mathematical Sciences, Universiti Sains Malaysia, Penang 11800, Malaysia ' Department of Mathematics, University of Dhaka, Dhaka 1000, Bangladesh

Abstract: The present paper investigates heat and mass transfer over a moving nano-porous plate in porous media with hydrodynamic and thermal slip boundary conditions and concentration-dependent diffusivity, taking into account the Soret and Dufour effects and temperature-dependent viscosity. The similarity representation of the system of partial differential equations of the problem is obtained via point transformation. The resulting equations are solved numerically. A representative set of results for the dimensionless velocity, the dimensionless temperature and the dimensionless concentration functions is displayed to show the influence of parameters (velocity slip parameter a, thermal slip parameter γ, suction parameter Fw, concentration diffusivity parameter b, Prandtl number Pr, Schmidt number Sc, viscosity parameter θ_r, Soret number Sr and Dufour number D_f, Darcy parameter Da and the generation parameter Q) on them.

Keywords: double diffusion; point transformations; variable diffusivity; temperature dependent viscosity; slip boundary conditions; heat transfer; mass transfer; variable viscosity; moving plates; nanoporous plates; porous media; hydrodynamics; thermal slip; partial differential equations; PDEs.

DOI: 10.1504/PCFD.2013.050651

Progress in Computational Fluid Dynamics, An International Journal, 2013 Vol.13 No.1, pp.54 - 64

Published online: 31 Oct 2013 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article