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Abstrakty
Fluid flow and heat transfer of a power law fluid flowing over a wedge, taking into consideration viscous dissipation, in the presence of a magnetic field is investigated. The governing partial differential equations are reduced to ordinary differential equations by the application of group theory. By using quasi-linearization technique, first we linearized the coupled non-linear equations are first linearized, and then solved them numerically by a finite difference method. Numerical solutions for the governing momentum and energy equations are obtained. Results are presented as velocity profiles and temperature profiles for different flow parameters, such as, the magnetic field parameter M, Prandtl number Pr, Eckert number Ec, the flow behavior index n, and the wedge angle parameter m. Variations of heat transfer and skin friction for different values of Ec, Pr, M and m are presented. Heat transfer and skin friction results are compared for various values of the flow behaviour index n governing the nature of the fluid and also for different wedge angles.
Rocznik
Tom
Strony
965--987
Opis fizyczny
Bibliogr. 19 poz., rys., wykr.
Twórcy
autor
autor
- Department of Mathematics, Osmania University Hyderabad - 500007, A.P., INDIA, kishan_n@rediffmail.com
Bibliografia
- Acrivos A., Shah M.J. and Peterson E.E. (1960): Momentum and heat transfer in laminar boundary-layer flows of non-Newtonian fluids past external surface. - AIChE J., vol.6, pp.312-317.
- Adersson H.L., Bech K.H. and Dandapat B.S. (1992): Magnetohydrodynamic flow of a power-law fluid over a stretching sheet. - Int. J. Non-Linear Mech., vol.27 pp.929-936.
- Bellman R.E. and Kalaba R.E. (1965): Quasi-linearization and non-linear boundary value problem. - New York, Elsevier.
- Cheng W.T. and Lin H.T. (2002): Non-similarity solution and correlation of transient heat transfer in laminar boundary layer over a wedge. - Int. J. Engineering Science, vol.40 pp.531.
- Cortell R. (2005): A note on magneto hydrodynamic flow of a power law fluid over a stretching sheet. - Appl. Math. Comp., vol.168, pp.557-566.
- Elbashbeshy E.M.A. (1990): Unsteady mass transfer from a wedge. - Indian J. Pure Applied Mathematics, vol.21, pp.241-250.
- Elghabaty S.S. and Abdel-Rhman G.M. (1988): Magnetohydrodynamic boundary-layer flow for a non-Newtonian fluid past a wedge. - J. Astrophysics and Space Sciences, vol.141 pp.9-19.
- Emad M. Abo-Eldajab and Ahmed M. Salem (2005): MHD Free-convective flow of a non-Newtonian power-law fuild at a stretching surface with a uniform free-stream. - Appl. Math. Comput., vol.169, pp.806-818.
- Ibrahiml F.M. (1994): Solutions of the laminar boundary layer equations for a conducting power law non-Newtonian fluid in a transverse magnetic field. - J. Phys. D: Appl. Phys., vol.27 pp.740-747.
- Kafoussias N.G. and Nanousis N.D. (1997): Magentohydrodynamic laminar boundary layer flow over a wedge with suction or injection. - Canadian Journal of Physics, vol.75, No.10, pp.733-745.
- KuoBor-Lih (2005): Heat transfer analysis for the Falkner-Skan wedge flow by the differential transformation method. - Int. J. Heat Mss Transfer, vol.48, pp.5036.
- Kumari M. (1998): Effect of large blowing rates on the steady laminar incompressible electrically conducting fluid over an infinite wedge with a magnetic field applied parallel to the wedge. - Int. J. Engineering Science, vol.36, pp.299.
- Kumari M., Takhar H.S. and Nath G. (1995): Non-similar mixed convection flow of a non-Newtonian fluid past a vertical wedge. - Acta Mech., vol.113, pp.205-213.
- Mahmoud M.A.A. and Mahmoud M.A.E. (2006): Analytical solution of hydro magnetic boundary-layer flow of a non-Newtonian power-law fluid past a continuously moving surface. - Acta. Mech., vol.18, pp.183-89.
- Nakayama A. and Koyana H. (1988): An analysis for friction and heat transfer characteristics of power-law non-Newtonian fluid flows past bodies of arbitrary geometrical configuration. - Int. J. Heat and Mass Transfer, vol.22, pp.29-36.
- Ramamurthy G. and NarasimhaRao K. (1989): Convective heat transfer to power-law, non-Newtonian fluids flowing over a wedge with viscous dissipation. - Proceedings of 10th National Heat and Mass Transfer Conference, India, pp.67-70.
- Rama Subba Reddy (2004): Unsteady heat transfer in laminar non-Newtonian boundary layer over a wedge. - J. AIChE, vol.28 pp.56-60.
- Schowalter W.R. (1960): The application of boundary-layer to power-law pseudo-plastic fluids, similar solutions. - AIChE, J., vol.6, pp.24-28.
- Youn J. Kim (2001): The Falkner-Skan, Wedge Flows of Power-Law Fluids Embedded in a Porous Medium. - J. Transport in Porous Media, vol.44 pp.267-279.
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Bibliografia
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