steady flow and heat transfer of the power-law fluid over a rotating disk

this paper deals with the steady flow and heat transfer of a viscous incompressible power-law fluid over a rotating infinite disk. assumed the thermal conductivity follows the same function as the viscosity, the governing equations in the boundary layer are transformed into a set of ordinary differential equations by generalized karman similarity transformation. the corresponding nonlinear two-point boundary value problem was solved by multi-shooting method. numerical results indicated that the parameters of power-law index and prandtl number have significant effects on velocity and temperature fields. the thickness of the boundary layer decays with power-law index. the peak of the radial velocity changes slightly with power- law index. the values near the boundary are affected dramatically by the thickness of the boundary layer. with the increasing of the prandtl number the heat conducts more strongly.