International Journal of Mathematics and Computational Science
Articles Information
International Journal of Mathematics and Computational Science, Vol.1, No.5, Oct. 2015, Pub. Date: Aug. 6, 2015
Effect of Localized Wall Heating/Cooling on the Unsteady MHD Decelerating Flow over a Wedge
Pages: 310-316 Views: 1268 Downloads: 414
Authors
[01] C. Poornima, Department of Mathematics, P.E.S. College of Engineering, Mandya, India.
[02] A. T. Eswara, Department of Mathematics, GSSS Institute of Engineering and Technology for Women, Mysore, India.
Abstract
The present paper investigates the effect of localized wall heating/cooling on the unsteady, MHD laminar boundary layer decelerating forced flow of an incompressible electrically conducting fluid over a wedge. The set of non-linear partial differential equations governing the semi-similar flow has been solved numerically using an implicit finite difference scheme along with the quasilinearization technique. Numerical computations has been carried out and the results are presented graphically to show the effect of various physical parameters such as unsteady parameter, magnetic parameter, wall heating/cooling parameter on the flow field and heat transfer characteristics. It is found that the dual solutions exist for critical values of the unsteady parameter. Further, the magnetic field plays a significant role in controlling the boundary layer separation.
Keywords
Unsteady Decelerating Flow, Semi-Similar Solution, Localized Wall Heating (Cooling), Skin Friction, Heat Transfer
References
[01] V.M. Falkner and S.W. Skan, Some approximate solutions of the boundary layer equations, Philos.Mag.12 (1931) 865-896.
[02] D.R. Hartree, On an equation occurring in Falkner and Skan’s approximate treatment of the equations of the boundary layer, Proc.Cambridge Philos.Soc.33 (1937) 223-239.
[03] K. Stewartson, Further solutions the Falkner-Skan equation, Proc. Cambridge Phil. Soc., 50 (1954) 454-465.
[04] T.Watanabe, Thermal boundary layer over a wedge with uniform suction and injection in forced flow, Acta Mechanica, 83 (1990) 119-126.
[05] R. Kandasamy, K. Periasamy, K.K. Sivagnana Prabhu, Effects of chemical reaction, heat and mass transfer along a wedge with heat source and concentration in the presence of suction or injection, Intl. J. Heat Mass Trans.48 (2005) 1388–1394.
[06] A. Pantokratoras, The Falkner–Skan flow with constant wall temperature and variable viscosity, Intl. J. Therm. Sci. 45 (2006) 378–389.
[07] A.T. Eswara, A parametric differentiated finite-difference study of Falkner-Skan problem, Bull. Cal. Math. Soc. 90 (1998) 191-196.
[08] A. Asaithambi, A finite-difference method for the Falkner-Skan equation, Appl. Math. Comp. 92 (1998) 135-141.
[09] M. J. Martin and I. D. Boyd, Falkner-Skan flow over a wedge with slip boundary conditions, Journal of Thermophysics and Heat Transfer, 24 No.2 (2010) 263-270.
[10] S.D.Harris, D.B. Ingham and I. Pop, Impulsive Falkner-Skan flow with constant wall heat flux: revisited, International Journal of Numerical Methods for Heat and Fluid Flow, 19 (2009) 1008-1037.
[11] N.G. Kafoussias and N.D. Nanousis, Magnetohydrodynamic laminar boundary layer flow over a wedge with suction or injection, Canadian Journal of Physics, 75 (1997) 733-745.
[12] S.P.A. Devi, R. Kandasamy, Thermal stratification effects on non linear MHD laminar boundary-layer flow over a wedge with suction or injection, Intl. Commun. Heat Mass Trans. 30 (5) (2003) 717–725.
[13] T. Cebeci and P. Bradshaw, Physical and computational aspects of convective heat transfer, Springer, New York, 1984.
[14] H. Schlichting and K. Gersten, Boundary Layer Theory, Eight revised and enlarged ed., Springer-Verlag, Berlin, 2000.
[15] A.J. Chamkha, H.S. Takhar and G. Nath, Mixed convection flow over a vertical plate with localized heating(cooling), magnetic field and suction (injection), Heat Mass Transfer, 40(11) (2004) 835-841.
[16] M. Kumari and G. Nath, Mixed convection boundary layer flow over a thin vertical cylinder with localized injection/suction and cooling/heating, International Journal of Heat and Mass Transfer, 47 (2004) 969-976.
[17] C. Poornima and A.T. Eswara, Non-similar MHD Falkner-Skan flow with localized wall heating (cooling),Proceeding of 23rd International Congress of Theoretical and Applied Mechanics, (ICTAM-2012), Beijing (2012)
[18] C. Poornima and A.T. Eswara, Unsteady MHD forced flow over a wedge with localized wall heating (cooling) and suction(injection),International J. of Pure & Engg. Mathematics, Vol. 3 No. I (April 2015), pp. 1-16.
[19] K. Inouye and A. Tate, Finite difference version of quasilinearization applied to boundary layer equations, A.I.A.A.J. 12 (1974) 558-560.
[20] F. M. White, Viscous Fluid Flow, 3rd Edition. Mc. Graw-Hill, New York, 2006.
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