In gas turbine engines

with the existence of the intense forced convection and significant buoyancy effects

temperature distribution and level on turbine or compressor disks affect the heat transfer characteristics strongly. In this paper

numerical simulations were performed to analyze these influences for a free disk

with the laminar and turbulent flow respectively. The influences of temperature distribution on the heat transfer were observed by using incompressible cooling air

and temperature profiles of nth order monomial and polynomial were assumed on the disk. The analysis revealed that the heat transfer for two flow states on the free disk is determined by the exponent n of the monomial profile when specifying the rotating Reynolds number; for an arbitrary polynomial profile

the local Nusselt number can be deduced from results of monomial profiles. To study the effects of temperature level on heat transfer singly

monomial profiles were used and the local Nusselt number of compressible and incompressible cooling air were compared.And both for two flow states

the following conclusions could be drawn: the relative difference of local Nusselt number is mainly controlled by nondimensional local temperature difference

and almost independent of the monomial's coefficient C

exponent n and the rotating Reynolds number. Subsequently

a correction method for heat transfer of the free disk is presented and verified computationally

with which the local Nusselt number

obtained with a uniform and low temperature profile

can be revised by arbitrary distribution and high temperature magnitude.