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An analysis has been carried out to study the steady viscoelastic hydromagnetic flow and heat transfer in a visco-elastic liquid flow over an exponentially stretching sheet with consideration of viscous dissipation. A zeroth order analytical local similar solution of the highly non-linear stream function equation and confluent hypergeometric solution of the heat transfer equation is obtained by converting the governing partial differential equation to ordinary differential equation by similarity transformations. The accuracy of the analytical solution for the stream function is verified by a numerical solution obtained by employing the Runge-Kutta fourth order method with shooting. The two following cases of surface conditions are studied, namely (1) prescribed exponential order surface temperature (PEST Case) and (2) prescribed exponential order boundary heat flux (PEHF Case). The effect of various parameters arising in the flow on momentum and heat transfer characteristics are presented graphically and the numerical results of wall temperature gradient (in PEST Case ) and wall temperature (PEHF Case ) are tabulated and compared with previous results.
Rocznik
Tom
Strony
455--474
Opis fizyczny
Bibliogr. 21 poz., tab., wykr.
Twórcy
autor
autor
autor
autor
- Department of PG and UG Studies in Mathematics, Government College Gulbarga-585105, Karnataka, INDIA, mahantesh_maths@yahoo.co.in
Bibliografia
- Abramowitz. M. and Stegun L.A. (1972): Handbook of mathematical functions. National Bureau of Standards. - Amer. Math. Soc., vol.55, Providence, RI.
- Ali M.E. (1995): On thermal boundary layer on a power law stretched surface with suction or injection. - Int. J. Heat Mass Flow, vol.16, pp.280-290.
- Andersson H.I. (1992): MHD flow of a viscoelastic fluid past a stretching surface. - Acta. Mech., vol.95, pp.227-230.
- Char M.I. (1994): Heat and mass transfer in a hydromagnetic flow of viscoelastic fluid over a stretching sheet. - J. of Math. Anal. Appl., vol.186, pp.674-689.
- Cortell R. (1994): Similarity solutions for flow and heat transfer of a viscoelastic fluid over a stretching sheet. - Int. J. Non-Linear Mechanics, vol.29, No. 2, pp.155-161.
- Dandapat B.S. and Gupta A.S. (1989): Flow and heat transfer in a viscoelastic fluid over a stretching sheet. - Int. J. Non-Linear Mech.,vol.24, No.3, pp.215-219.
- Dandapat B.S., Holmedal L.E. and Andersson H.I. (1998): On the stability of MHD flow of a viscoelastic fluid past a stretching sheet. - Acta Mechanica, vol.130, pp.143-146.
- Elbashbeshy E.M.A. (2001): Heat transfer over an exponentially stretching continuous surface with suction. - Arch Mech., vol.53, No.6, pp.643-651.
- Emad M. Abo-Eldahab and 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.
- Fosdick R.L. and Rajagopal K.R. (1979): Anomalous features in the model of second order fluids. - Arch. Ration. Mech. Anal., vol.70, pp.145-152.
- Gupta P.S. and Gupta A.S. (1977): Heat and mass transfer on a stretching sheet with suction or blowing. - Canad. J. of Chem. Engg., vol.55, pp.744-746.
- Khan S.K. and Emmanuel S. (2004): Viscoelastic boundary layer MHD flow through a porous medium over a porous quadratic stretching sheet. - Archives of Mechanics, vol.56, No.3, pp.191-204.
- Khan S.K. and Sanjayanand E. (2005): Viscoelastic boundary layer flow and heat transfer over an exponential stretching sheet. -Int. J. Heat and Mass Transfer, vol. 48, pp.1534-1542.
- Kumaran V. and Ramanaiah G. A. (1996): Note on the flow over a stretching sheet .- Acta Mech., vol.116, pp.229-233.
- Lawrence P.S. and Rao B.N. (1992): Heat transfer in the flow of viscoelastic fluid over a stretching sheet. - Acta. Mech., vol.93, pp.53-61.
- Nataraja H.R., Sarma M.S. and Rao B.N. (1998): Non-similar solutions for flow and heat transfer in a viscoelastic fluid over a stretching sheet. - Int. J. Non-Linear Mechanics, vol.33, No.2, pp.357-361.
- Prasad K.V., Subhas Abel M., Sujit Kumar Khan and Datti P.S. (2002): Non-Darcy forced convective heat transfer in a viscoelastic fluid flow over a non-isothermal sretching sheet. - Journal Porous Media, vol.5, No.1, pp.41-47.
- Rajagopal K.R., Na T.Y. and Gupta A.S. (1987): A non similar boundary layer on a stretching sheet in a non-Newtonian fluid with uniform free stream. - J. Math. Phy. Sc., vol.21, pp.189-200.
- Rajagopal K.R., Na T.Y. and Gupta A.S. (1984): Flow of a viscoelastic fluid over a stretching sheet. - Rheol. Acta, vol.23, pp.213-215.
- Rollins D. and Vajravelu K. (1991): Heat transfer in a second order fluid over a continuous stretching surface. - Acta Mech., vol.89, pp.167-178.
- Sakiadis B.C. (1961): Boundary layer behaviour on continuous solid surfaces. - A. I. Ch. E. J.,vol.7, pp.26-28.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ5-0017-0011