Chemically reactive species of time-dependent natural convection couple stress fluid flow past an isothermal vertical flat plate

Author:

Basha Hussain1,Reddy G. Janardhana1,Reddy M. Gnaneswara2

Affiliation:

1. Department of Mathematics, Central University of Karnataka, Kalaburagi-585367, Karnataka, India.

2. Department of Mathematics, Acharya Nagarjuna University Campus, Ongole-523001, Andhra Pradesh, India.

Abstract

The transient two-dimensional natural convective couple stress fluid flow past a semi-infinite vertical flat plate in the presence of first-order homogenous chemical reaction is investigated. The analysis has been carried out by considering the effects of skin-friction coefficient and Nusselt and Sherwood numbers. The unsteady coupled nonlinear governing flow equations have been solved by applying the Crank–Nicolson implicit finite difference scheme. For the different set physical parameters, graphs are shown and examined. A relevant study with existing results is made in a limiting sense. The transient and steady-state velocity profiles decrease as the chemical reaction parameter, Schmidt number, and couple stress parameter increase. The deviations of concentration, temperature, and velocity contours of the couple stress fluid flow are considerably varied in comparison with the Newtonian fluid flow.

Publisher

Canadian Science Publishing

Subject

General Physics and Astronomy

Reference34 articles.

1. E.L. Cussler. Diffusion mass transfer in fluid systems. Cambridge University Press, London. 1984.

2. S. Ostrach. An analysis of laminar free-convection flow and heat transfer about a flat plate parallel to the direction of the generating body force. Report-1111. National Advisory Committee for Aeronautics, Cleveland, Ohio. 1953.

3. Transient and steady state, free and natural convection, numerical solutions: Part I. The isothermal, vertical plate

4. The nature of vertical natural convection flows resulting from the combined buoyancy effects of thermal and mass diffusion

5. Natural convection from a plane, vertical surface in non-isothermal surroundings

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