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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.
Rocznik
Tom
Strony
457--472
Opis fizyczny
Bibliogr. 13 poz., tab., wykr.
Twórcy
autor
autor
autor
- Dept. of Mech. Eng., JNTU College of Eng. Anantpur, Andhrapradesh, INDIA, drpravinkulkarni@yahoo.com
Bibliografia
- Andersson H.I., Olav R. Hansen and Holmedal B. (1994): Diffusion of a chemically reactive species from a stretching sheet. - Int. J. Heat Mass Transfer, vol.37, No.4, pp.659-664.
- Chen C.K. and Char C.M. (1988): Heat transfer on a continuous stretching surface with suction or blowing. - J. Math. Anal. Appl., vol.35, pp.568.
- Crane L.J. (1970): Flow past a stretching sheet. - ZAMP, vol.21, pp.645.
- Gupta P.S. and Gupta A.S. (1977): Heat and mass transfer on a stretching sheet with suction and blowing. - Can. J. Chem. Eng., vol.55, pp.744-746.
- Prasad K.V., Abel S. and Datti P.S. (2001): Diffusion of a chemically reactive species of a non-Newtonian fluid immersed in a porous medium over a stretching sheet. - Int. J. Non-Linear Mech., vol.NLM 826, pp.1-7.
- Rajagopal K.R. (): On boundary conditions for fluids of differential type.
- Rajagopal K.R., Na T.Y. and Gupta A.S. (1984): Flow of a second order fluid over a stretching sheet. - Rheol. Acta., vol.23, pp.213.
- Sakiadis B.C. (1961): Boundary layer behaviour on continuous solid surfaces. - AIChE, J., vol.7, pp.26.
- Sam Lawrence P. and Nageshwar Rao B. (1995): The non-uniqueness of the MHD flow of a visco-elastic fluid past a stretching sheet. - Acta. Mech., vol.112, pp.223.
- Sarpakaya T. (1961): Flow of non-Newtonian fluids in a magnetic field. - A.I.Ch.E. J., vol.7, No.2, pp.324-328.
- Sonth R.M., Khan S.K., Abel M.S. and Prasad K.V. (2002): Heat and mass transfer in a visco-elastic fluid over an accelerating surface with heat source/sink and viscous dissipation. - J. Heat Mass Transfer, vol.38, pp.213-220.
- Vajravelu K. and Rollins D. (1992): Heat transfer in an electrically conducting fluid over a stretching surface. - Int. J. Non-Linear Mechanics, vol.27, No.2, pp.265-277.
- Veena P.H. and Abel S. (1998): Visco-elastic fluid flow and heat transfer in a porous medium over a stretching sheet. - Int. J. Non-Linear Mechanics, vol.33, pp.531.
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Bibliografia
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bwmeta1.element.baztech-article-BPZ2-0036-0011