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Tytuł artykułu

Unsteady free convection flow in the stagnation-point region of a rotating sphere embedded in a porous medium

Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The problem of the unsteady free convection flow in a fluid saturated porous medium of a rotating sphere in the presence of a solid matrix exerting first and second resistance is studied. Numerical solutions are obtained for the cases of constant wall temperature (CWT) and constant heat flux (CHF). The non-linear coupled partial differential equations governing the flow have been solved numerically using finite difference. The effects of the first resistance parameter ξ, the buoyancy parameter λ, the Prandtl number Pr, the variation of the angular velocity with time (ε > 0) on the skin friction and heat transfer rate ue discussed, is shown the figures. It is found that the buoyancy force enhanced both the skin fraction and the heat transfer rate. The effect of the presence of the first resistance decreases the skin friction and the heat transfer rate.
Rocznik
Strony
89--98
Opis fizyczny
Bibliogr. 14 poz.
Twórcy
autor
  • Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt
Bibliografia
  • [1] Cheng, P: Heat transfer in geothermal systems, Advances in Heat Transfer, 4, (1978), 1-105.
  • [2] Nield, DA and Bejan, A: Convection in porous media, Springer, New York, (1992).
  • [3] Ede, AJ: Advances in heat transfer, 4, Academic Press, New York (1967), 1.
  • [4] Gebhart, B: Advances in Heat Transfer, 9, Academic Press, New York, (1973), 273.
  • [5] Gebhart, B, Jaluria, Y, Mahajan, RL and Sammaria, R: Buoyancy Induced Flows and Transport Hemisphere, New York, (1988).
  • [6] Merkin, JH: J. Engny Math., 33, (1989), 273.
  • [7] Merkin, JH and Mahmood, T: J. Engny Math., 24, 95, (1990).
  • [8] Watanabe, T: Acta Mech. 87, 1, (1991).
  • [9] Takhar, HS, Kumariad, M, Nath, G: Arch. App. Mech., 63, 313, (1993).
  • [10] Takhar, HS and Nath, G: Heat and Mass Transfer, 36, (2000), 89-96.
  • [11] Takhar, HS, Chamkha, AJ and Nath, G: Heat mass transfer, 37, (2001), 397-402.
  • [12] Sparrow, EM, Quack, H and Boerner, J: AIAA, 8, (1970), 1936-1942.
  • [13] Pereyra, V: Lecture Note in Computer Science, 76, Springer, Berlin, (1978).
  • [14] Takhar, HS, Slaouta, A, Kumari, M and Nath, G: Int. J. Non-linear Mechanics, 33, (1998), 857-865.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-LOD9-0022-0056
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