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This paper presents an analytical study of a steady boundary layer visco-elastic liquid flow over a non-isothermal stretching sheet embedded in a porous medium in the presence of non-uniform heat generation / absorption. The stretching of the sheet is assumed to be proportional to the perpendicular distance from the slit. Two different temperature conditions are considered, viz., (i) the sheet with a prescribed surface temperature (PST) and (ii) the sheet with a prescribed wall heat flux (PHF). The non-linear boundary layer equations for momentum are converted into non-linear ordinary differential equations by means of a similarity transformation and the same is solved exactly. The heat transport equation with variable coefficients is transformed into a confluent hypergeometric differential equation and solved analytically. The effect of various parameters on the temperature distribution is presented graphically. The numerical calculations have been carried out for various values of non-dimensional physical parameters, the results tabulated the results and discussed.
Rocznik
Tom
Strony
5--19
Opis fizyczny
Bibliogr. 18 poz., tab., wykr.
Twórcy
autor
autor
autor
- Department of Mathematics, Gulbarga University Gulbarga 585 106, Karnataka, INDIA, msabel2001@yahoo.co.uk
Bibliografia
- Abel M.S., Ambuja Joshi, Prasad K.V and Mahaboob Ali (2000): Hydromagnetic visco-elastic fluid flow and heat transfer over a non-isothermal stretching surface embedded in a porous media. - Int. J. Trans. Phenomena, vol.4, pp.225-233.
- Abramowitz M. and Stegun I.A. (1965): Handbook of Mathematical Functions. - NewYork: Dover.
- Chen C.K. and Char M.I. (1988): Heat transfer of a continuous stretching surface with suction or blowing. - J. Math. Anal. Appl., vol.135, pp.568-580.
- Crane L.J. (1970): Flow past a stretching plate. - ZAMP, vol.21, pp.645-647.
- Datta B.K Ray P. and Gupta A.S (1985): Temperature field in the flow over a stretching sheet with uniform heat flux. - Int. Comm. Heat Mass Transfer, vol.12, pp.89-94.
- Emad M. Abo-Eldahab, Mohamed A. El. Aziz (2004): Blowing/suction effect on hydromagnetic heat transfer by mixed convection from an inclined continuously stretching surface with internal heat generation/absorption. - Int. J. Therm. Sci., vol.43, pp.709-719.
- Erickson L.E., Fan L.T., Fox V.G. and Fox (1966): Heat and mass transfer on a moving continuous flat plate with suction or injection. - Indust. Eng. Chem. Fund., vol.5, pp.19-25.
- Gupta P.S and Gupta A.S. (1977): Heat and mass transfer of a stretching sheet with suction or blowing. - Can. J. Chem. Eng., vol.55, pp.744-747.
- Jones D.M and Walters K. (1989): The behavior of polymer solutions in extension dominated flows with applications to enhanced oil recovery. - Rheol. Acta, vol.28, pp.482-498.
- Kurtcebe C and Erim M.Z. (2005): Heat transfer of a visco-elastic fluid in a porous channel. - Int. J. Heat and Mass Tansfer, vol.48. pp.5072-5077.
- Pascal H and Pascal F. (1989): On viscoelastic effect in non Newtonian steady flows through porous media. - Trans. Porous Media App., pp.17-35.
- Pillitsis S. and Beris (1989): A calculations of a steady state visco-elastic flow in an undulating tube. - J. Non-Newtonian Fluid. Mech., vol.31, pp.231-287
- Prasad K.V, Abel M.S. and Ambuja Joshi (2000): Oscillatory motion of a visco-elastic fluid over a stretching sheet in porous media. - J. Porous Media, vol.3, No.1, pp.61-68.
- Rajagopal K.R., Na T.Y. and Gupta A.S. (1984): Flow of a visco-elastic fluid over a stretching sheet. - Rheol. Acta, vol.23, pp.213-215.
- Sakiadis B.C. (1961): Boundary layer behavior on continuous solid surfaces: I Boundary layer equations for two dimensional and axisymmetric flow. - A.I.Ch.E. J., vol.7, pp.26-28.
- Siddheshwar P.G. and Mahabaleshwar U.S (2005): Effects of radiation and heat source on MHD flow of a visco-elastic liquid and heat transfer over a stretching sheet. - Int. J. Non-Lin. Mech., vol.40, pp.807-821.
- Sonth R.M., Khan S.K., Abel M.S. and Prasad K.V. (2002): Heat and mass transfer in a visco-elastic fluid flow over an accelerating surface with heat source/Sink and viscous dissipation. - Int. J. Heat and Mass Transfer, vol.38, pp.213-220.
- Vafai K. and Kim S.J. (1990): Fluid mechanics of the interface region between a porous medium and a fluid layer an exact solution. - Int. J. Heat Fluid Flow, vol.2, pp.254-256.
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Bibliografia
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bwmeta1.element.baztech-article-BPZ2-0040-0019