3084 Words13 Pages

Effects of Free Convective Flow Past an Oscillating Semi-Infinite Vertical Plate with Variable Mass Diffusion Under First Order Chemical Reaction

Dr. A.R. Vijayalakshmi1 and M.SelvaJayanthi2

1 Department of Applied Mathematics, Sri Venkateswara College of Engineering,

Sriperumbudur- 602105, INDIA

2 SKP Engineering College, Tiruvannamalai – 606611

†Corresponding Author Email: avijaya@svce.ac.in

ABSTRACT

In this paper, An inquiry work to study the follow through of free convective viscous incompressible movement past an oscillating semi-infinite vertical plate with variable mass diffusion inferior first order chemical Reaction. The dimensionless governing equations are solved by a conclusively fixed and fast gather implicit finite variation*…show more content…*

and V.M. Soundalgekar (1998) presented the case of Combined Free and forced convection flow of water from a vertical plate with variable temperature. Unsteady MHD Convective Heat and Mass Transfer past a Semi-infinite vertical permeable Moving plate with Heat Absorption by Chamkha (2004). Effects of mass transfer on the flow an oscillating infinite vertical plate with constant heat flux have been studied by Soundalgekar et.al (1994). The effect on the flow past a vertical oscillating plate due to a combination of concentration and temperature differences was studied extensively by Soundalgekar and Akolkar (1983). During such chemical reactions, there is always a generation of heat. But when the foreign mass present in the fluid at very low level, we can assume a first- order chemical reaction and the heat generated due to the chemical reaction can be very negligible. Apelblat A (1980) studied analytical solution for Mass transfer with a chemical reaction of the first order. Chamber and Young have analyzed a first order chemical reaction in the neighborhood of a horizontal plate. Das, U.N, Ray, S.N, and Soundalgekar VM (2003).Mass transfer effects on flow past an impulsively started infinite vertical plate with constant mass flux –an exact solution. Ramamurthy and Govinda Rao (1971) presented the results for flow past an impulsively started infinite vertical plate. The effects of mass transfer on the transient free convection flow of a dissipative fluid*…show more content…*

The effects of the phase angles ω t on the average values of the skin-friction are shown Fig.11.lThe average skin-friction decreases with increasing phase angles ω t. The effects of the phase angles ω t, the chemical reaction parameter K on the average values of the Nusselet number are shown in Fig.12. Respectively. The average Nusselet number decreases with increasing phase angles ωt or increasing chemical reaction parameter.

5. CONCLUSION

The dimensionless governing equations are solved by an implicit scheme of Crank- Nicolson type. The carry out of velocity, temperature, concentration fields for different parameters are reviewed. The numerical solutions show that the number of time steps to reach steady – state depends powerfully on the chemical reaction parameter, velocity, temperature.

The principle Conclusions of the studies are as follows: 1. Velocity increasing with decreases Values of the chemical reaction parameters. 2. Concentration increases with decreasing chemical reaction parameter as well as Schmidt number. 3. Local as well as average skin-friction, Nusselet number, the Sherwood number increasing with increasing values of chemical reaction parameters. It is noticed that the improvement of mass diffusion to the buoyancy force increases the higher velocity

Dr. A.R. Vijayalakshmi1 and M.SelvaJayanthi2

1 Department of Applied Mathematics, Sri Venkateswara College of Engineering,

Sriperumbudur- 602105, INDIA

2 SKP Engineering College, Tiruvannamalai – 606611

†Corresponding Author Email: avijaya@svce.ac.in

ABSTRACT

In this paper, An inquiry work to study the follow through of free convective viscous incompressible movement past an oscillating semi-infinite vertical plate with variable mass diffusion inferior first order chemical Reaction. The dimensionless governing equations are solved by a conclusively fixed and fast gather implicit finite variation

and V.M. Soundalgekar (1998) presented the case of Combined Free and forced convection flow of water from a vertical plate with variable temperature. Unsteady MHD Convective Heat and Mass Transfer past a Semi-infinite vertical permeable Moving plate with Heat Absorption by Chamkha (2004). Effects of mass transfer on the flow an oscillating infinite vertical plate with constant heat flux have been studied by Soundalgekar et.al (1994). The effect on the flow past a vertical oscillating plate due to a combination of concentration and temperature differences was studied extensively by Soundalgekar and Akolkar (1983). During such chemical reactions, there is always a generation of heat. But when the foreign mass present in the fluid at very low level, we can assume a first- order chemical reaction and the heat generated due to the chemical reaction can be very negligible. Apelblat A (1980) studied analytical solution for Mass transfer with a chemical reaction of the first order. Chamber and Young have analyzed a first order chemical reaction in the neighborhood of a horizontal plate. Das, U.N, Ray, S.N, and Soundalgekar VM (2003).Mass transfer effects on flow past an impulsively started infinite vertical plate with constant mass flux –an exact solution. Ramamurthy and Govinda Rao (1971) presented the results for flow past an impulsively started infinite vertical plate. The effects of mass transfer on the transient free convection flow of a dissipative fluid

The effects of the phase angles ω t on the average values of the skin-friction are shown Fig.11.lThe average skin-friction decreases with increasing phase angles ω t. The effects of the phase angles ω t, the chemical reaction parameter K on the average values of the Nusselet number are shown in Fig.12. Respectively. The average Nusselet number decreases with increasing phase angles ωt or increasing chemical reaction parameter.

5. CONCLUSION

The dimensionless governing equations are solved by an implicit scheme of Crank- Nicolson type. The carry out of velocity, temperature, concentration fields for different parameters are reviewed. The numerical solutions show that the number of time steps to reach steady – state depends powerfully on the chemical reaction parameter, velocity, temperature.

The principle Conclusions of the studies are as follows: 1. Velocity increasing with decreases Values of the chemical reaction parameters. 2. Concentration increases with decreasing chemical reaction parameter as well as Schmidt number. 3. Local as well as average skin-friction, Nusselet number, the Sherwood number increasing with increasing values of chemical reaction parameters. It is noticed that the improvement of mass diffusion to the buoyancy force increases the higher velocity

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