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Similarity solution for combined free-forced convection past a vertical porous plate in a porous medium with a convective surface boundary condition

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Języki publikacji
EN
Abstrakty
EN
This paper studies the mathematical implications of the two dimensional viscous steady laminar combined free-forced convective flow of an incompressible fluid over a semi infinite fixed vertical porous plate embedded in a porous medium. It is assumed that the left surface of the plate is heated by convection from a hot fluid which is at a temperature higher than the temperature of the fluid on the right surface of the vertical plate. To achieve numerical consistency for the problem under consideration, the governing non linear partial differential equations are first transformed into a system of ordinary differential equations using a similarity variable and then solved numerically under conditions admitting similarity solutions. The effects of the physical parameters of both the incompressible fluid and the vertical plate on the dimensionless velocity and temperature profiles are studied and analysed and the results are depicted both graphically and in a tabular form. Finally, algebraic expressions and the numerical values are obtained for the local skin-friction coefficient and the local Nusselt number.
Rocznik
Strony
827--836
Opis fizyczny
Bibliogr. 17 poz., tab., wykr.
Twórcy
autor
  • Department of Mathematics, KM College, University of Delhi, Delhi-110007, India
  • Department of Mathematics, Banasthali Vidyapith, Banasthali, Rajasthan-304022, India
  • Department of Mathematics, University of Rajasthan, Jaipur, Rajasthan-302004, India
Bibliografia
  • [1] Schlichting H. and Gersten K. (2000): Boundary Layer Theory. – 8th Edition, Springer, Verlag Berlin Heidelberg.
  • [2] Nield D.A. and Bejan A. (2013): Convection in Porous Media. – 4th Edition, New York: Springer.
  • [3] Vafai K. (2015): Handbook of Porous Media. – 3rd edition, CRC Press.
  • [4] Bird R.B., Stewart W.E. and Lightfoot E.N. (2007): Transport Phenomena. – Revised 2nd Edition, John Wiley and Sons.
  • [5] Lloyd J.R. and Sparrow E.M. (1970): Combined forced and free convection flow on vertical surfaces. – Int. J. Heat Mass Transfer, vol.13, No.2, pp.434–438.
  • [6] Wilks G. (1973): Combined forced and free convection flow on vertical surfaces. – Int. J. Heat Mass Transfer, vol.16, No.10, pp.1958–1964.
  • [7] Raju M.S., Liu X.R. and Law C.K. (1984): A formulation of combined forced and free convection past horizontal and vertical surfaces. – Int. J. Heat Mass Transfer, vol.27, No.12, pp.2215–2224.
  • [8] Hossain M.A. and Ahmed M.U. (1990): MHD forced and free convection boundary layer flow near the leading edge. – Int. J. Heat Mass Transfer, vol.33, No.3, pp.571–575.
  • [9] Ali M. and Al-Yousef F. (1998): Laminar mixed convection from a continuously moving vertical surface with suction or injection. – Heat and Mass Transfer, vol.33, pp.301-306.
  • [10] Gorla R.S.R., Lin P.P. and Yang A.J. (1990): Asymptotic boundary layer solutions for mixed convection from a vertical surface in a micropolar fluid. – Int. J. Eng. Sci., vol.28, No.6, pp.525–533.
  • [11] Gorla R.S.R. (1992): Mixed convection in a micropolar fluid along a vertical surface with uniform heat flux. – Int. J. Heat and Mass Transfer, vol.28, No.6, pp.525-533.
  • [12] Alam M.S., Rahman M.M. and Samad M.A. (2006): Numerical study of the combined free forced convection and mass transfer flow past a vertical porous plate in a porous medium with heat generation and thermal diffusion. – Non-Linear Analysis: Modelling and Control, vol.11, No.4, pp.331-343.
  • [13] Bhattacharyya K., Mukhopadhya S. and Layek G.C. (2013): Similarity solution of mixed convective boundary layer, slip flow over a vertical plate. – Ain Shams Engineering Journal, vol.4, pp.299-305.
  • [14] Aziz A. (2009): A similarity solution for Laminar thermal boundary layer over a flat plate with a convective surface boundary condition. – Commun. Nonlinear Sci. Numer. Simulate, vol.14, pp.1064-1068.
  • [15] Makinde O.D. (2011): Similarity solution for natural convection from a moving vertical plate with internal heat generation and a convective boundary condition. – Thermal Science, vol.15, No.1, pp.S137-S143.
  • [16] Ibrahim S.M and Reddy N.B. (2013): Similarity solution of heat and mass transfer for natural convection over a moving vertical plate with internal heat generation and a convective boundary condition in the presence of thermal radiation, viscous dissipation, and chemical reaction. – Hindawi Publishing Corporation ISRN Thermodynamics, Article ID 790604, 10 pages, http://dx.doi.org/10.1155/2013/790604.
  • [17] Fazlina Aman and Anuar Ishak (2012): Mixed convection boundary layer flow towards a vertical plate with a convective surface boundary condition. – Hindawi Publishing Corporation Mathematical Problems in Engineering, Article ID 453457, 11 pages doi:10.1155/2012/453457.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-0b2b056f-625d-474b-b4c1-d94f3d72646c
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