Exit combustor ow and thermal elds entering downstream stator vane passages in a gas turbine engine are highly nonuniform. These ow and thermal elds can signi cantly affect the development of the secondary ows in the turbine passages attributing to high platform heat transfer and large aerodynamic losses. An analysis is presented of the effects of both the temperature and velocity pro les on the secondary ows in the endwall region of a rst-stage stator vane geometry. These effects were assessed using the predicted ow eld results from computational uid dynamics (CFD) simulations. Prior to using the predictions, these CFD simulations were benchmarked against ow eld data measured in a large-scale, linear, turbine vane cascade. Good agreement occurred between the computational predictions and experimentally measured secondary ows. Analyses of the results for several different cases indicate the stagnation pressure gradient is a key parameter in determining the character of the secondary ows.
Nomenclature= mass ow through passage n = coordinate normal to inviscid streamline P = pitch P 0 = total pressure p = static pressure q = velocity vector R = radius of curvature of an inviscid streamline R g = gas constant Re ex = Reynolds number, CU ex / m Re in = Reynolds number, CU in / m S = span of stator vane s = coordinate aligned with inviscid streamline T S = static temperature U = freestream velocity U, V , W = absolute velocity components u, v, w = secondary ow plane, transformed velocity components V n = normal velocity, ¡ u sin w ms + v cos w ms V S = streamwise velocity, u cos w ms + v sin w ms V z = spanwise velocity, w X, Y, Z = absolute, stationary coordinate system x = distance normal to the secondary ow plane Y S = pressure loss coef cient,Çm y = distance tangent to the secondary ow plane z = radial or spanwise distance z + = inner coordinates spanwise distance, z p (s w / q )/ m c = speci c heat ratio= boundary-layer thickness d th = thermal boundary-layer thickness e = dissipation m = viscosity q = density s w = wall shear stress w ms = midspan turning angle, tan ¡ 1 (v ms / u ms ) X s = streamwise vorticity, X x cos(w ms ) + X y sin(w ms ) X x = x vorticity, (@W / @Y ) ¡ (@V / @Z ) X y = y vorticity, (@U / @Z ) ¡ (@W / @X ) Subscripts av = mass averaged value ex = value at vane exit in = value at 0.7C upstream of vane mid = value at vane midspan wall = value at vane endwall