International Journal of Mathematics and Computational Science

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Unsteady MHD Decelerating Flow over a Wedge with Heat Generation/Absorption

Pages: 303-309 Views: 2201 Downloads: 762

[01]
G. Ashwini, Department of Mathematics, Govt. College for Women’s, Mandya, India.
[02]
A. T. Eswara, Department of Mathematics, GSSS Institute of Engineering and Technology for Women, Mysore, India.

This paper deals with the study of unsteady, MHD laminar boundary layer forced flow of an incompressible electrically conducting fluid over a wedge in the presence of heat generation/absorption. Similarity transformation is used to convert the governing nonlinear boundary-layer equations to non-linear ordinary differential equations and later, these equations are solved numerically using Keller-box method to obtain self-similar solutions. The results are obtained for local skin friction coefficient and Nusselt number for different governing flow parameters. It is found that dual solutions exist up to a critical value of the unsteady parameter beyond which, the boundary layer separates from the surface. Further, it is established that application of the magnetic field delays the boundary layer separation.

MHD Decelerating Flow, Self-Similar Solution, Skin Friction, Heat Transfer, Heat Generation/Absorption

[01]
V. M. Falkner and S. W. Skan. “Some approximate solutions of the boundary layer equations”. Philos. Mag. 12(80); (1931), pp. 865-896.
[02]
J. C. Y. Koh and J. P. Harnett. “Skin friction and heat transfer for incompressible laminar flow over a porous wedge with suction and variable wall temperature”. Int. J. Heat Mass Transfer. 2 (1961), pp. 185-198.
[03]
H. Craven and L. A. Peletier. “On the uniqueness of solutions of the Falkner-Skan equation”. Mathematika. 19 (1972), pp. 135-138.
[04]
P. Brodie and W. H. H. Banks. “Further properties of the Falkner-Skan equation”. Acta Mechanica. 65 (1986), pp. 205-211.
[05]
H. T. Lin and L. K. Lin. “Similarity solutions for laminar forced convection heat transfer from wedges to fluids of any Prandtl number”. Int. J. Heat Mass Transfer. 30 (1987), pp. 1111-1118.
[06]
T. Watanabe. “Thermal boundary layer over a wedge with uniform suction and injection in forced flow”. Acta Mechanica. 83 (1990), pp. 119-126.
[07]
A. Asaithambi. “A finite-difference method for the Falkner-Skan equation”. Appl. Math. Comp. 92 (1998), pp. 135-141.
[08]
A. T. Eswara. “A parametric differentiated finite-difference study of Falkner-Skan Problem”. Bull. Cal. Math. Soc. 90 (1998), pp. 191-196.
[09]
M. A. Hossain, M. S. Munir and D. A. S. Rees. “Flow of viscous incompressible fluid with temperature dependent viscosity and thermal conductivity past a permeable wedge with uniform surface heat flux”. Intl. J. Therm. Sci. 39 (2000), pp. 635-644.
[10]
W. T. Cheng and H.T. Lin. “Non-similarity solution and correlation of transient heat transfer in laminar boundary layer flow over a wedge”. Intl. J. Eng. Sci. 40 (2002), pp. 531-548.
[11]
S. D. Harris, D. B. Ingham and I. Pop. “Unsteady heat transfer in impulsive Falkner-Skan flows: Constant wall temperature case”. Eur. J. Mech. B/Fluids. 21 (2002), pp. 447- 468.
[12]
B. L. Kuo. “Application of the differential transformation method to the solutions of Falkner- Skan wedge flow”. Acta Mechanica. 164 (2003), pp. 161-174.
[13]
R. Kandasamy, K. Periasamy and 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), pp. 1388-1394.
[14]
K.Bor-Lih “Heat transfer analysis for the Falkner–Skan wedge flow by the differential transformation method”. Intl. J. Heat Mass Trans. 48 (2005), pp. 5036-5046.
[15]
K.Vajravelu and J.Nayfeh “Hydromagnetic convection at a cone and a wedge”. Int. Commun, Heat and Mass Transfer. 19 (1992), pp. 701-710.
[16]
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), pp. 733-745.
[17]
K. A. Yih. “MHD forced convection flow adjacent to a nonisothermal wedge”. Int. Commun. Heat Mass Transfer. 26 (1999), pp. 819-827.
[18]
M. A. Seddeek, A. A. Afify and A. M. Al- Hanaya “Similarity Solutions for a Steady MHD Falkner - Skan flow and heat transfer over a wedge considering the effects of variable viscosity and thermal conductivity”. Applications and Applied Mathematics. 4 (2); (2009), pp. 303-313.
[19]
G. Ashwini and A. T. Eswara. “MHD Falkner-Skan boundary layer flow with internal heat generation or absorption”. Int. Conf. on Mechanical, Aeronautical and Manufacturing Engg. Proc. of World Academy of Science, Engg. and Tech.,(WASET) Tokyo. Japan. 65 (2012), pp. 687-690.
[20]
G. Ashwini, C. Poornima and A. T. Eswara. “Unsteady MHD accelerating flow past a wedge with thermal radiation and internal heat generation / absorption”. Int. J. of Math. Sci. & Engg. Appls. 9(I); (2015), pp. 13-26.
[21]
A. T. Eswara. and G. Nath. “Effect of large injection rates on unsteady mixed convection flow at a three-dimensional stagnation point”. Int. Journal of Non-Linear Mechanics. 34 (1999), pp. 85-103.
[22]
H. Schlichting and K. Gersten,: “Boundary Layer Theory”. Springer-Verlag, Berlin (2000).
[23]
H. B. Keller. “Numerical methods in boundary- layer theory”. Ann. Rev. Fluid Mech. 10 (1978), pp. 417-433

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