Heat and Mass Transfer Research Journal (HMTRJ)

Research Article

Chemical Reaction on Heat and Mass Flow Past a Vertical Cylinder Embedded in Non-Darcy Porous Medium

B. Vasu¹, Rama S R Gorla², V. R. Prasad³ and O. A. Beg⁴

¹Department of Mathematics, Motilal Nehru National Institute of Technology, Allahabad - 211004, India

²Department of Mechanical & Civil Engineering, Purdue University Northwest, Westville, Indiana - 46391, USA

³Department of Mathematics, Madanapalle Institute of Technology and Science, Madanapalle - 517325, India

⁴Department of Mechanical and Aeronautical Engineering, School of Computing, Science and Engineering, Newton Building, Salford University, Salford, M54WT, UK

Submitted: August 17, 2016; Revised: August 17, 2016; Accepted: November 11, 2016

Abstract

An unsteady two-dimensional free convection flow of a viscous incompressible fluid past an impulsively started semi-infinite vertical cylinder adjacent to a non-Darcian porous media in the presence of chemical reaction of first order is investigated. The governing boundary layer equations are formulated with appropriate boundary conditions and are solved using an implicit finite-difference method of Crank-Nicholson type. The problem is shown to be controlled by seven thermophysical and hydrodynamic dimensionless parameters, namely thermal Grashof number (Gr), species Grashof number (Gm), Darcy number (Da i.e. permeability parameter), Forchheimer number (Fs i.e. second order inertial porous parameter), Prandtl number (Pr), Schmidt number (Sc) and chemical reaction parameter (K1). The effects of thermophysical parameter on the transient dimensionless velocity, temperature and concentration are illustrated graphically. Also, the effects of the various thermo-physical parameters on the Skin friction, Nusselt number and Sherwood number are presented and discussed. This model finds applications in polymer production, manufacturing of ceramics or glassware and food processing.

Keywords

Transient thermal convection; chemical reaction; Forchheimer number; Nusselt number; Sherwood number; vertical cylinder

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