FREE-CONVECTION HEAT-TRANSFER OF NON-NEWTONIAN FLUIDS OVER AXISYMMETRICAL AND 2-DIMENSIONAL BODIES OF ARBITRARY SHAPE EMBEDDED IN A FLUID-SATURATED POROUS-MEDIUM
Yt. Yang et Sj. Wang, FREE-CONVECTION HEAT-TRANSFER OF NON-NEWTONIAN FLUIDS OVER AXISYMMETRICAL AND 2-DIMENSIONAL BODIES OF ARBITRARY SHAPE EMBEDDED IN A FLUID-SATURATED POROUS-MEDIUM, International journal of heat and mass transfer, 39(1), 1996, pp. 203-210
The problem of natural convection of a non-Newtonian power-law fluid w
ith or without yield stress about a two-dimensional or axisymmetric bo
dy of arbitrary shape in a fluid-saturated porous medium is analyzed o
n the basis of boundary layer approximation. For a high modified Rayle
igh number, similarity solutions are obtained by using the fourth-orde
r Runge-Kutta scheme and shooting method for two-dimensional bodies wi
thout yield stress and a cone with yield stress. The effects of the su
rface heat transfer rate q(w)(X), the local Nusselt number Nu(x), the
overall heat transfer rate Q and the power indices n of fluids with t
he yield stresses on the free convection heat transfer characteristics
are discussed. It is found that the results depend strongly on the hi
gh values of the yield stress parameter Omega/a at the boundary.