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Steady and unsteady boundary layers due to a stretching vertical sheet in a porous medium using Darcy-Brinkman equation model

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Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The present paper deals with the analysis of steady and unsteady boundary layer flow and heat transfer past a vertical stretching sheet in a viscous fluid-saturated porous medium by using the Darcy-Brinkman equation model. It is assumed that unsteadiness is caused by the impulsive stretching of the sheet and by sudden increase in the surface temperature. The problem is reduced to parabolic partial differential equations, which are solved numerically using the Keller-box method. The small time (initial unsteady flow) as well as the large time (final steady-state flow) solutions are also included in the analysis. It is shown that there is a smooth transition from the small time solution to large time solution, respectively.
Rocznik
Strony
623--637
Opis fizyczny
Bibliogr. 23 poz., tab., wykr.
Twórcy
autor
autor
autor
  • School of Mathematical Sciences, National University of Malaysia 43600 UKM Bangi, Selangor, MALAYSIA, rmn72my@yahoo.com
Bibliografia
  • Ali M.E. and Al-Yousef F. (1998): Laminar mixed convection from a continuously moving vertical surface with suction or injection. - HeatMass Transfer, vol.33, pp.301-306.
  • Brinkman H.C. (1947): A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles. - Appl. Sci. Res., vol.1, pp.27-34.
  • Cebeci T. and Bradshaw P. (1988): Physical and Computational Aspects of Convective Heat Transfer. - New York: Springer.
  • Chamkha A.J. (1999): Hydromagnetic three-dimensional free convection on a vertical stretching surface with heat generation or absorption. - Int. J. Heat Fluid Flow, vol.20, pp.84-92.
  • Chen C.-H. (1998): Laminar mixed convection adjacent to vertical, continuously stretching sheets. - Heat Mass Transfer, vol.33, pp.471-476.
  • Chen C.-H. (2000): Mixed convection cooling of heated continuously stretching surface. - Heat Mass Transfer, vol.36, pp.79-86.
  • Chen C.-K., Chen C.-H., Minkowycz, W.J. and Gill U.S. (1992): Non-Darcian effects on mixed convection about a vertical cylinder embedded in a saturated porous medium. - Int. J. Heat Mass Transfer, vol.35, pp.3041-3046.
  • Crane L.J. (1970): Flow past a stretching plane. - J. Appl. Math. Phys. (ZAMP), vol.21, pp.645-647.
  • Daskalakis J.E. (1993): Free convection effects in the boundary layer along a vertically stretching flat surface. - Canadian J. Phys., vol.70, pp.1253-1260.
  • Hsu C.T. and Cheng, P. (1990): Thermal dispersion in a porous medium. - Int. J. Heat Mass Transfer, vol.33, pp.1587-1597.
  • Ishak A., Nazar R. and Pop I. (2005): Unsteady mixed convection boundary layer flow due to a stretching vertical surface (submitted for publication).
  • Kaviany M. (1987): Boundary-layer treatment of forced convection heat transfer from a semi-infinite flat plate embedded in porous media. - J Heat Transfer, vol.109, pp.345-349.
  • Kumari M., Slaouti A., Takhar H.S., Nakamura S. and Nath G.. (1996): Unsteady free convection flow over a continuously moving vertical surface. - ActaMechanica, vol.116, pp.75-82.
  • Liao S.-J. and Pop I. (2004): Explicit analytic solution for similarity boundary layer equations. - Int. J. Heat Mass Transfer, vol.47, pp.75-85.
  • Lin C.-R. and Chen C.-K. (1998): Exact solution of heat transfer from a stretching surface with variable heat flux. - Heat Mass Transfer, vol.33, pp.477-480.
  • Liu I.-C. and Wang H.-H. (2005): Exact solutions for flow and heat transfer of a fluid-saturated porous medium over a permeable non-isothermal stretching sheet, without using boundary layer theory (submitted for publication).
  • Magyari E. and Keller B. (1999): Heat and mass transfer in the boundary layers on an exponentially stretching continuous surface. - J. Phys. D: Appl. Phys., vol.32, pp.577-585.
  • Magyari E. and Keller B. (2000): Exact solutions for self-similar boundary-layer flows induced by permeable stretching surfaces. - Eur. J. Mech. B-Fluids, vol.19, pp.109-122.
  • Nakayama A. (1995): PC-Aided Numerical Heat Transfer and Convective Flow. - Tokyo: CRC Press.
  • Nazar R., Amin N. and Pop I. (2004): Unsteady boundary layer flow due to a stretching surface in a rotating fluid. - M.echanics Res. Comm., vol.31, pp.121-128.
  • Seshadri R., Sreeshylan N. and Nath G. (2002): Unsteady mixed convection flow in the stagnation region of a heated vertical plate due to impulsively motion. - Int. J. Heat Mass Transfer, vol.45, pp.1345-1352.
  • Sharidan S., Amin N. and Pop I. (2005): Unsteady boundary layer due to a stretching sheet in a porous medium using Brinkman equation model (submitted for publication).
  • Vafai K. and Tien C.L. (1999): Boundary and inertia effects on flow and heat transfer in porous media. - Int. J. Heat Mass Transfer, vol.24, pp.195-203.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0023-0042
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