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Chemical Reaction and Thermo Diffusion Effects on Hydro Magnetic Flow of Rivlin-EricksonFluid in an Inclined Channel

V.Prabhakara Reddy*, Ramachandruni V M S S Kiran Kumar**, G.Viswanatha Reddy***, P.Durga Prasad****, S.V.K. Varma*****

*-** Research Scholar, Department of Mathematics, Sri Venketeswara University, Tirupati. Andhra Pradesh, India.

*** Associate Professor, Department of Mathematics, Sri Venketeswara University, Tirupati. Andhra Pradesh, India.

**** PG Scholar, Department of Mathematics, Sri Venketeswara University, Tirupati. Andhra Pradesh, India.

***** HOD, & Professor, Department of Mathematics, Sri Venketeswara University, Tirupati. Andhra Pradesh, India.

Periodicity:April - June'2015
DOI : https://doi.org/10.26634/jmat.4.2.3500

Abstract

The objective of this paper is to analyse the flow of viscoelastic fluid of Rivilin-Ericksen type down, an inclined plate under the influence of uniform transverse magnetic field, in the presence of viscous dissipation, thermo diffusion and chemical reaction effects. It is assumed that the flow of fluid is between two inclined heated parallel plates. In the case of stationary convection, the Rivlin-Erickson fluid behaves like an ordinary Newtonian fluid. The dimensionless governing equations are solved analytically by using perturbation method. The effects of velocity, temperature, concentration, the skin-friction coefficient, the Nusselt number and the Sherwood number for different flow parameters are shown in the graphical and the tabular forms.

Keywords

Rivlin-Erickson Fluid, Chemical Reaction, MHD (Magnetohydrodynamics), Soret Number, Inclined Channel

How to Cite this Article?

Reddy, V.P., Kumar, R.V.M.S.S.K., Reddy, G.V., Prasad, P.D., and Varma, S.V.K. (2015). Chemical Reaction and Thermo Diffusion Effects on Hydro Magnetic Flow of Rivlin-Erickson Fluid in an Inclined Channel. i-manager’s Journal on Mathematics, 4(2), 37-50. https://doi.org/10.26634/jmat.4.2.3500

References

[1]. Helmy. K.A., (1998). “MHD Unsteady Free Convection Flow Past a Vertical Porous Plate,” ZAMM, Vol.98(4), pp.255-270.

[2]. Cusler. F.L., (1998). “Diffusion Mass Transfer in Fluid Systems,” 2 Edition, Cambridge University press, Cambridge.

[3]. Das. U.N., Deka. R.K. and Sounderlgekar. V.M., (1994). “Effects of Mass Transfer on Flow Past an Impulsively Started Infinite Vertical Plate with Constant Heat Flux and Chemical Reaction,” Forschung im Ingenieurwesen, Vol.60(10), pp.284-287.

[4]. Bansal JL, (1997). “Viscous Fluid Dymnamics,” Oxford and IBH pub.co, New Delhi, India.

[5]. Bansal JL, (1994). “Magneto Fluid Dymnamics of viscous fluids,” Jaipur pub.House, Jaipur, India.

[6]. Jeffery A, (1966). “Magnetohydrodyanamics,” Oliver and Boyed, New York USA.

[7]. Anjalidevi, S.P. and R. Kandasamy, (2000). “Effects of chemical reaction heat and mass transfer on MHD flow past a semi infinite plate,” Z AMM., Vol.80, pp.697-701.

[8]. Cowling. T.G., (1957). “Magnetohydrodyanamics,” Interscientific. Publishers New York.

[9]. Moreau. R., (1990). “Magnetohydrodyanamics,” Kluwer Academic publishers.

[10]. Gebhart. B., Y. Jaluria, R.L. Mahajan and B. Sammakia, Buoyancy, (1988). “Induced flows and transport hemisphere publishing corporation,” New York.

[11]. Alam. M.S. and Rahaman. M.M. (2005). “Dufour and soret effects on MHD free convective heat and mass transfer flow pasts a vertical flat palte Embedded in a porous medium,” Journal of Novel Architecture and Marine engineering, Vol.2(1), pp.55-65.

[12]. Postelnicu. A., (2004). “Influence of a Magnetic field on heat and mass transfer by natural convection from vertical surfaces in porous media considering Soret and Dufour effects,” International journal of Heat and Mass Trasfer, Vol.47(6&7), pp.1467-1472.

[13]. Eckert. E.R.G. and Drake. R.M., (1972). “Anlysis of heat and mass transfer” McGraw-Hill, New York.

[14]. Dursunkaya. Z. and Worek. W.M., (1992). “Diffusion-Thermo and Thermal-Diffusion Effects in Transient and steady Natural Convection from Vertical surface,” International Journal of heat and mass transfer, Vol.35(8), pp.2060-2065.

[15]. Anghel. M, Takhar. H.S. and Pop. I., (2004). “Dufour and Soret effects on free –convection boundary layer over a vertical surface embedded in a porous medium,” Studia universitatis Babes-Bolyai:Mathematica, Vol.14(4), pp.11-21.

[16]. Gupta.U, (2005). proceedings of 50 congress of ISTAM (an international meet), IIT, Kharagpur, pp.133-141.

[17]. Rivlin. R.S. and Erickson. J.L., (1955). “stress deformation relations for isotropic materials,” Rational Mech. Vol.4, pp.323- 329.

[18]. Urvashi Gupta and Gaurav Sharma (2007). “On Rivlin-erickson elastic-viscous fluid heated and soluted from below in the presence of compressibility, rotation and hall currents,” Journal on Applied Mathematics and Computing, Vol.25(1,2), pp.51-66.

[19]. Urvashi Gupta and Gaurav Sharma (2008). “Thermosolutal instability of compressible Rivlin-Erickson fluid in the presence of rotation and hall currents saturating a porous medium,” Journal on Applied Mathematics and Computation, Vol.196(1), pp.158-173.

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