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Effect of variable viscosity on free flow of non-Newtonian power-law fluids along a vertical surface with thermal stratification

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The aim of this paper is to investigate the effect of thermal stratification together with variable viscosity on free convection flow of non-Newtonian fluids along a nonisothermal semi infinite vertical plate embedded in a saturated porous medium. The governing equations of continuity, momentum and energy are transformed into nonlinear ordinary differential equations using similarity transformations and then solved by using the Runge-Kutta-Gill method along with shooting technique. Governing parameters for the problem under study are the variable viscosity, thermal stratification parameter, non-Newtonian parameter and the power-law index parameter.The velocity and temperature distributions are presented and discussed. The Nusselt number is also derived and discussed numerically.
Rocznik
Strony
109--121
Opis fizyczny
Bibliogr. 21 poz.,
Twórcy
autor
  • Department of Mathematics, Institute of Road and Transport Technology, Erode - 638316, Tamilnadu, India
Bibliografia
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  • [2] Chen H.T., Chen C.K.: Free convection of non-Newtonian fluids along a vertical plate embedded in a porous medium. ASME J. Heat Trans. 110(1988), 257–260.
  • [3] Chen H.T., Chen C.K.: Natural convection of a non-Newtonian fluid about a horizontal cylinder and a sphere in a porous medium. Int. Comm. Heat and Mass Transfer 15(1988b), 605–614.
  • [4] Cheng P., Minkowycz W.J.: Free convection about a vertical plate embedded in a porous medium with application to heat transfer from a dike. J. Geophys. Res. 82(1977), 2040–2044.
  • [5] Elbashbeshy E.M., Ibrahim F.N.: Steady free convection flows with variable viscosity and thermal diffusivity along a vertical plate. J. Phys. D. Appl. Phys. 26(1993), 2137–2143.
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  • [7] Kassoy D.R, Zebib A.: Variable viscosity effects on the onset of convection in porous media. Physics Fluids 18(1995), 1649–1651.
  • [8] Kumari M.: Variable viscosity effects on free and mixed convection boundary layer flow from a horizontal surface in a saturated porous medium — variable heat flux. Mech. Res. Commun. 28(2001), 339–348.
  • [9] Lai F.C., Kulacki F.A.: The effect of variable viscosity on convection heat transfer along a vertical surface in a saturated porous medium. Int. J. Heat Mass Transfer 33(1990), 1028–1031.
  • [10] Lai F.C., Pop I., Kulacki F.A.: Natural convection from isothermal plates embedded in thermally stratified porous media. J. Thermophys. Heat Transfer 4(1990), 533–535.
  • [11] Mohamed E. Ali: The effect of variable viscosity on mixed convection heat transfer along a vertical moving surface. Int. J. Therm. Sci. 45(2006), 60–69.
  • [12] Moorthy M.B.K, Govindarajulu T.: Free convection flow of non-Newtonian fluids along a horizontal plate in a porous medium. Bull. Cal. Math. Soc. 85(1993), 63–72.
  • [13] Nakayama A., Koyama H.: Effect of thermal stratification on free convection within a porous medium. J. Thermophys. Heat Transfer 1(1987), 282–285.
  • [14] Nield D.A., Bejan A.: Convection in Porous Media, 3rd edn. Springer, New York 2006.
  • [15] Pop I., Ingham D.B.: Convective heat transfer: Mathematical and computational modeling of viscous fluids and porous media. Pergamon, Oxford 2001.
  • [16] Pantokratoras A.: The Falkner-Skan flow with constant wall temperature and variable viscosity. Int. J. Therm. Sci. 45(1987), 378–389.
  • [17] Postelnicu A., Grosan T., Pop I.: The effect of variable viscosity on forced convection over a horizontal flat plate in a porous medium with internal heat generation. Mech. Res. Communi. 28(2001), 331–337.
  • [18] Rama Subba Reddy Gorla, Kumari M.: Mixed convection in non-Newtonian fluids along a vertical plate with variable surface heat flux in a porous medium. J. Heat Mass Transfer 35(1999), 3, 221–227.
  • [19] Vafai K.: Handbook of Porous Media, 2nd edn. Taylor and Francis, New York 2005.
  • [20] Vadasz P.: Emerging Topics in Heat and Mass Transfer in Porous media. Springer, New York 2008.
  • [21] Vafai K.: Porous Media: Applications in Biological Systems and Biotechnology. CRC Press 2010.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BGPK-3780-4427
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