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3 International Journal of Applied Mechanics and Engineering

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On diffusion of chemically reactive species in a convective flow past an inclined plate with variable surface temperature and variable mass diffusion

Kirubavathi J. D., Palani G.

International Journal of Applied Mechanics and Engineering

2016

Vol. 21, no. 4

905--922

A numerical solution of a transient natural convection flow past a semi-infinite inclined plate under the combined buoyancy effects of heat and mass transfer along with chemical reaction is presented herewith. The governing boundary layer equations for the above flow problem for a first order homogeneous chemical reaction are set up and non-dimensionalised. An implicit finite difference method is employed to solve the unsteady, nonlinear, integro and coupled partial differential equation. Numerical results are presented for various parameters occurring in the problem. The unsteady velocity, temperature and concentration profiles, local and average skin friction, Nusselt number and Sherwood number are studied for both a generative and destructive reaction.

Diffusion of chemically reactive species of an electrically conducting visco-elastic fluid immersed in a porous medium over a stretching sheet with prescribed surface concentration and prescribed wall mass flux

Rajagopal K., Veena P. H., Pravin V. K.

International Journal of Applied Mechanics and Engineering

2008

Vol. 13, no 2

457-472

In this paper, we present a mathematical analysis of mass transfer phenomena in a magneto hydrodynamic visco-elastic fluid immersed in a porous medium with prescribed surface concentration and prescribed wall mass flux. The influence of reaction rate on the transfer of chemically reactive species is studied. The flow is caused solely by the linearly stretching sheet and the reactive species is emitted from this sheet and undergoes an isothermal and homogeneous one stage reaction as it diffuses into the surrounding fluid. Several non-dimensional similarity transformations are introduced to reduce the concentration conservation equation to an ordinary differential equation in both the cases. (PST and PHF). An exact analytical solution due to Siddappa and Abel (ZAMP 36, 1985) is adopted for velocity, whereas the concentration equation is solved analytically for first order reactions in both the PST and PHF cases. The computations showed that the effect of destructive chemical reaction is to reduce the thickness of the concentration boundary layer and increase the mass transfer rate from the sheet to the surrounding fluid in the presence of a transverse magnetic field. This effect is more effective for zero and first order reactions than for thesecond and higher order. The effect of various physical parameters are analysed in the PST and PHF cases. The effects of all these parameters on wall concentration gradient are also discussed.

Effects of heat and mass transfer on a moving vertical cylinder with chemically reactive species diffusion

Ganesan P., Loganathan P.

International Journal of Applied Mechanics and Engineering

2003

Vol. 8, no 2

195-205

A numerical analysis is carried out to examine the combined heat and mass transfer along with chemical reaction characteristics in a free convective flow over a moving semi-infinite vertical cylinder. The governing equations are solved using an implicit finite difference scheme of Crank-Nicolson type. The effects of the chemical reaction in transient velocity, temperature, concentration, local and average skin-friction, Nusselt number and Sherwood number profiles are illustrated and discussed for various physical parametric values. It is observed that with an increase in the chemical reaction parameter K or the Schmidt number Sc, velocity decreases, but velocity increases with an increasing thermal Grashof number Gr or mass Grashof number Gc. The surface mass transfer strongly depends on the Schmidt number and the chemical reaction and it decreases with their increasing values.