Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
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.
Czasopismo
Rocznik
Tom
Strony
109--121
Opis fizyczny
Bibliogr. 21 poz.,
Twórcy
autor
autor
- Department of Mathematics, Institute of Road and Transport Technology, Erode - 638316, Tamilnadu, India
Bibliografia
- [1] Beithou N., Albayrak K., Abdulmajeed A.: Effect of porosity on the free convection flow of non-Newtonian fluids along a vertical plate embedded in a porous medium. Tr. J. Eng. Environ. Sci. 22(1998), 203–209.
- [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.
- [6] Hossain M.A, Nakayama A., Pop I.: Conjugate free convection of nonNewtonian fluids about a vertical cylinder fin in porous media. Heat Mass Transfer 30(1995), 149–153.
- [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