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The Coupling of Conduction with Free Convection Flow Along a Vertical Flat Plate in Presence of Heat Generation

  • Taher, M.A. (Graduate School of Mechanical Engineering, Pukyong National University) ;
  • Lee, Yeon-Won (School of Mechanical Engineering, Pukyong National University)
  • Published : 2007.11.30

Abstract

The aim of this paper is to analyze the conjugate problems of heat conduction in solid walls coupled with laminar free convection flow adjacent to a vertical flat plate under boundary layer approximation. Using the similarity transformations the governing boundary layer equations for momentum and energy are reduced to a system of partial differential equations and then solved numerically using Finite Difference Method(FDM) known as the Keller-box scheme. Computed solutions to the governing equations are obtained for a wide range of non-dimensional parameters that are present in this problem, namely the coupling parameter P. the Prandtl number Pr and the heat generation parameter Q. The variations of the local heat transfer rate as well as the interface temperature and the friction along the plate and typical velocity and temperature profiles in the boundary layer are shown graphically. Numerical solutions have been consider for the Prandtl number Pr=0.70

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References

  1. A. Pozzi, and M. Lupo, 'The coupling of conduction with forced convection over a flat plate', Int. J. Heat and Mass Transfer., 32, pp.1207-1214, 1989 https://doi.org/10.1016/0017-9310(89)90021-5
  2. A. Pozzi, and R.Tognaccini, 'Coupling of conduction and convection past an impulsively started semi- infinite flat plate',Int. J. Heat and Mass Transfer, 43, pp.1121-1131, 2000 https://doi.org/10.1016/S0017-9310(99)00210-0
  3. M.Char, and C. L. Chang, 'Effect of wall conduction on natural convection flow of micropolar fluids along a flat plate', Int. J. Heat Mass Transfer, 40(15) pp 3641-3652, 1997 https://doi.org/10.1016/S0017-9310(97)00006-9
  4. M. Lacroix, and A. Joyeux, 'Coupling of conduction with natural convection from heated cylinder in a rectangular enclosure', Int. Comm. Heat Mass Transfer, 23(1), pp.143-151, 1996 https://doi.org/10.1016/0735-1933(95)00092-5
  5. M.Miyamoto, J. Sumikawa, T. Akiyoshi, and T. Nakamura, 'Effect of axial heat conduction in a vertical flat plate on free convection heat transfer', Int. J. Heat Mass Transfer, 23, pp. 1545-1533, 1980 https://doi.org/10.1016/0017-9310(80)90158-1
  6. S. Kimura, A. Okajima and T. Kiwata, 'Conjugate natural convection flow from a vertical heated slab', Int. J. Heat Mass Transfer, 41, pp. 3203-3211, 1998 https://doi.org/10.1016/S0017-9310(98)00063-5
  7. M. M. Molla, M. A. Hossain, and L. S. Yao, 'Natural convection flow along a vertical wavy surface with heat generation/absorption', Int. J Thermal Science, 43, pp. 57-163, 2004
  8. K. Vajravelu, and A. Hadjinicolaou, 'Heat transfer in a viscous fluid over a stretching sheet with viscous dissipation and internal heat generation' Int. Comm. Heat Mass Transfer, 20, pp. 417- 430, 1993 https://doi.org/10.1016/0735-1933(93)90026-R
  9. I.Pop, and D. B. Ingham, 'Convective heat transfer mathematical and computational modeling of viscous fluids and porous media', Pergamon, An imprint of Elsevier Science, 2001
  10. B. Keller, 'Numerical methods in boundary layer theory,' Annual Review Fluid Mechanics, 10, pp.417- 433, 1978 https://doi.org/10.1146/annurev.fl.10.010178.002221