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The paper discusses the flow of an incompressible non-Newtonian fluid due to stretching of a plane elastic surface in a saturated porous medium in the approximation of boundary layer theory. An exact analytical solution of non-linear MHD momentum equation governing the self-similar flow is given. The skin friction co-efficient decreases with an increase in the visco-elastic parameter k1 and increase in the values of both the magnetic parameter and permeability parameter.
Rocznik
Tom
Strony
665--674
Opis fizyczny
Bibliogr. 29 poz., wykr.
Twórcy
autor
- Dept. of Mathematics, Smt. V.G. College for Women Gulbarga Karnataka, INDIA
autor
- Research Scholar, Dept. of Mathematics Gulbarga, University Gulbarga Karnataka, INDIA
autor
- Dept. of Mech. Engg., P.D.A. College of Engg. Gulbarga, Karnataka, INDIA
autor
- Dept. of Mathematics, A S M College for Women Bellary, Karnataka, INDIA
Bibliografia
- [1] Rajgopal 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.
- [2] Dandapat B.S. and Gupta A.S. (1989) : Flow and heat transfer in a visco-elastic fluid over a stretching sheet. Int. J. Non-Linear Mech., vol.24, No.3, pp.215-219.
- [3] Rollins D. and Vajravelu K. (1991): Heat transfer in second order fluid over a continuous stretching surface. Acta. Mech., vol.89, pp.167-178.
- [4] Anderson H.I. (1992): MHD flow of a visco-elastic fluid past a stretching surface. Acta. Mech., vol.95, pp.227-230.
- [5] Lawrence P.S. and Rao B.N. (1992): Heat transfer in the flow of visco-elastic fluid over a stretching sheet. Acta. Mech., vol.93, pp.53-61.
- [6] Char M.I. (1994): Heat and mass transfer in a hydro magnetic flow of visco-elastic fluid over a stretching sheet. J. Math. Anal. Appl., vol.186, pp.674-689.
- [7] Siddappa B. and Khapate B.K. (1976): Rivlin-Erickson fluid flow past a stretching plate. Rev. Roum. Sci. Techn. Mec. Appl., vol.21, pp.497-505.
- [8] Siddappa B. and Abel M.S. (1986): Visco-elastic boundary layer flow past a stretching plate with suction and heat transfer. Rheol. Acta., vol.25, pp.319-320.
- [9] Veena P.H., Pravin V.K. and Ashok K. (2009): MHD flow of a vsico-elastic fluid over a stretching sheet with power low surface temperature and power law concentration embedded in a porous medium. Pacific-Asian J. of Mathematics, vol.3, No.1-2, pp.1-15.
- [10] Veena P.H., Pravin V.K. and Shahjahan S.M. (2008): Heat and mass transfer flow with variable thermal conductivity and variable mass diffusivity in an MHD visco-elastic fluid over a non-isothermal stretching sheet. IJAME, vol.13, No.2, pp.515-541.
- [11] Veena P.H., Pravin V.K. and Nagabhushan Joshi K. (2010): MHD visco-elastic flow and heat transfer with temperature gradient dependent heat skin in a porous medium past a stretching sheet. IJMA, vol.3, No.1, pp.65-81.
- [12] Gupta P.S. and Gupta A.S. (1977): Heat and mass transfer on a stretching sheet with suction or blowing. Can. J. Chem. Engg., vol.55, pp.744-746.
- [13] Kumaran V. and Ramanaiah G. (1996): A note on the flowover a stretching sheet. Acta. Mech., vol.116, pp.229-233.
- [14] McCormack D.D. and Crane L.J. (1973): Physical of Fluid Dynamics. New York: Academic Press.
- [15] 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.213-221.
- [16] Pavlov K.B. (1974) : Magnetohydrodynamic flow of an incompressible viscous fluid caused by deformation of a plane surface. Magnitanaya Gidrodinamika, vol.4, pp.146-147.
- [17] Sarpakaya T. (1961): Flow of non-Newtonian fluids in a magnetic field. AICHE, vol.7, pp.324-328.
- [18] Dandapat B.S. and Gupta A.S. (1980): Flow and heat transfer in a visco-elastic fluid over a stretching sheet. Int. J. Nonlinear Mech., vol.24, pp.215-219.
- [19] Abel Subhash and Veena P.H. (1998): Visco-elastic fluid flow and heat transfer in a porous medium over a stretching sheet. Int. J. Nonlinear Mechanics, vol.33, No.3, pp.531-543.
- [20] Veena P.H., Pravin V.K., Shahjahan S.M. and Hippargi V.B. (2007): Non-similar solutions for heat and mass transfer flow in an electrically conducting visco-elastic fluid over a stretching sheet embedded in a porous medium. IJMM, vol.2, No.1, pp.9-26.
- [21] Veena P.H., Pravin V.K. and Padashetty S.C. (2007): Non-similar solutions in visco-elastic MHD flow and heat transfer over a stretching sheet with internal heat generation and stress work. IJMM, vol.2, No.2, pp.267-281.
- [22] Khan S.K. and Sanjayanand E. (2004): Visco-elastic boundary layer flow and heat transfer over an exponential stretching sheet. Int. J. Heat Mass Transfer, vol.48, pp.1534-1542.
- [23] Sajid M., Hayat T. and Asgar S. (2007): Non-similar analytical solutions for MHD flow and heat transfer a third order fluid over a stretching sheet. Int. J. Heat Mass Transfer, vol.50, pp.1723-1736.
- [24] Abel M.S., Sanjayanand E. and Nandeppanvar M. (2008): Visco-elastic MHD flow and heat transfer over a stretching sheet with viscous and ohmic dissipations. Comm. In nonlinear Sci. and Numerical Simulation, vol.13, pp.1808-1821.
- [25] Panto Kratoras A. (2008): Study of MHD boundary layer flow over a heated stretching sheet with variable viscosity. Int. J. Heat Mass Trans., vol.51, pp.104-110.
- [26] Coleman B.D. and Noll W. (1960): An approximation theorem for functionals with applications in continuum mechanics. Arch. Rat. Mech. Anal., vol.6, pp.355-370.
- [27] Beard D.W. and Walters K. (1964): Proceedings Comb. Phil. Society, vol.60, p.667.
- [28] Tak S.S. and Lodha A. (2005): Flow and heat transfer due to a stretching porous surface in presence of transverse magnetic field. Acta. Chemica India, XXXIM3, pp.657-663.
- [29] Rao B.N. (1996): Technical Note: Flow of a fluid of second grade over a stretching sheet. Int. J. Non-Linear Mechanics, vol.31, No.4, pp.547-550.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-577e42b1-638e-44eb-a79d-4f195d863933