Non-Darcy natural convection flow along a vertical wavy plate embedded in a Non-Newtonian fluid saturated porous medium

• Autorzy: Hady F. M. , Mohamed R. A. , Mahdy A.
• Języki publikacji: EN

Abstrakty

EN

The present analysis investigates the non-Darcian free convection of a non-Newtonian fluid from a vertical sinusoidal wavy plate embedded in a homogenous porous medium with constant wall temperature. After a suitable coordinate transformation to reduce the complexity of the goveming boundary-layer equations, the resulting nonlinear, coupled differential equations were solved with the Runge-Kutta integration scheme. The Darcy-Rayleigh number is considered to be very large. The power-law model is used for non-Newtonian fluids with exponent n < 1 for pseudoplastic fluids; n= 1 for Newtonian fluids and n > 1 for dilatant fluids. The effects of the Grashof number Gr * , the wavy geometry, and the non-Newtonian nature of the fluids on the local and global rates of heat transfer are discussed. An increase in the power-law index leads to a greater fluctuation of the local Nusselt number and increasses the global rate of heat transfer. An increase in the Grashof num ber leads to a smaller fluctuation of the local heat transfer and increasing the boundary layer thickness, hence decreasing the global rate ofheat transfer.

Słowa kluczowe

EN

non-Newtonian fluids; wavy surface; non-Darcian; natural convection; porous media

PL

płyn nienewtonowski; powierzchnia falująca; konwekcja naturalna

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2008
• Tom: Vol. 13, no 1
• Strony: 91--100
• Opis fizyczny: Bibliogr. 15 poz., tab., wykr.

Twórcy

autor

Hady F. M.

autor

Mohamed R. A.

autor

Mahdy A.

• Mathematics, Faculty of Science Assiut University EGYPT,

Bibliografia

• Chen H.T. and Chen C.K. (1988): Free convection of non-Newtonian fluids along a vertical plate embedded in a porous medium. - ASME J. Heat Transfer, vol.110, pp.257-260.
• Chen H.T. and Chen C.K. (1988): Natural convection of a non-Newtonian fluid about a horizontal cylinder and sphere in a porous medium. - Int. Comm. Heat Mass Transfer, vol.15, pp.605-614.
• Cheng C.-Y. (2000): Natural convection heat and mass transfer near a vertical wavy surface with constant wall temperature and concentration in a porous medium. - Int. Comm. Heat Mass Transfer, vol.27, No.8, pp.1143-1154.
• Cheng C.-Y. (2007): Double diffusion from a vertical wavy surface in a porous medium saturated with a non-Newtonian fluid. - Int. Comm. Heat Mass Transfer.
• Ergun S. (1952): Fluid flow through packed columns. - Chem. Eng. Proc., vol.48, pp.89-94.
• Getachew D., Poulikakos D. and Minkowycz W.J. (1998): Double diffusion in a porous cavity saturated with non-Newtonian fluid. - J. Thermophysics Heat Transfer, vol.12, pp.437-446.
• Kim G.B. and Hyun J.M. (2004): Buoyant convection of power-law fluid in an enclosure filled with heat-generating porous media. - Numerical Heat Transfer, Part A, vol.45, pp.569-582.
• Nakayama A. and Koyama H. (1991): Buoyancy induced flow of non-Newtonian fluids over a non-isothermal body of arbitrary shape in a fluid-saturated porous medium. - Appl. Scientific Res., vol.48, pp.55-70.
• Nakayama A. and Shenoy A.V. (1992): A unified similarity transformation for Darcy and non-Darcy forced, free and mixed convection heat transfer in non-Newtonian inelastic fluid saturated porous media. - J. Chemical Engineering, vol.50, pp.33-45.
• Rastogi S.K. and Poulikakos D. (1995): Double-diffusion from a vertical surface in a porous region saturated with a non-Newtonian fluid. - Int. J of Heat Mass Transfer, vol.38, pp.935-946.
• Rees D.A.S. and Pop I. (1994): A note on free convection along a vertical wavy surface in a porous medium. - ASME J. Heat Transfer, vol.116, pp.505-508.
• Rees D.A.S. and Pop I. (1994): Free convection induced by a vertical wavy surface with uniform heat flux in a porous medium. - ASME J. Heat Transfer, vol.117, pp.547-550.
• Rees D.A.S. and Pop I. (1995): The effect of longitudinal surface waves on free convection from vertical surfaces in porous media. - Int. Comm. Heat Mass Transfer, vol.20, pp.223-234.
• Rees D.A.S. and Pop I. (1995): Non-Darcy natural convection from a vertical wavy surface in a porous medium. - Transport in Porous Media, vol.20, pp.223-234.
• Yao L.S. (1983): Natural convection along a vertical wavy surface. - ASME J. Heat Transfer, vol.105, pp.465-468.