Simulation of Coupled Unsteady Flow and Heat Conduction in Turbine Stage

A three-dimensional, unsteady, compressible, e nite difference Navier ‐Stokes solver has been coupled with a three-dimensional, unsteady, e nite difference conduction heat-transfer solver to study conjugate heat-transfer problems in turbomachinery. The heat-transfer solver was validated by computing unsteady heat transfer in a cylinderandcomparingtheresultswithananalyticalsolution.Thecodewasthenappliedtoahigh-pressureturbine stage, typical of those found in modern high-bypassturbofan engines, with a nonuniform inlettemperatureproe le. The unsteady temperature e eld of a rotor blade, both at the surface and within the blade, has been examined in detail. The surface-temperature results have also been compared with those from a e ow simulation in which the blade surfaces were assumed to be adiabatic, demonstrating the need for the coupled approach.