Computation of three-dimensional viscous linear cascade flows

Abstract

A three-dimensional viscous cascade code has been developed for linear cascades with flat, parallel endwalls. It employs scalar implicit approximate factorization, a finite-volume formulation, second-order upwind differencing, and a two-equation q-& turbulence model based on integration to the wall. A special form of the thinlayer approximation for the compressible Navier-Stokes equations is used which gives accurate skin-friction predictions on highly skewed meshes, now based on sheared H-grids. This code has been validated by considering three-dimensional viscous flows in Langston's large-scale turbine blade geometry. This validation includes threedimensional heat-transfer predictions. Agreement with experiment is quite good.

Multigrid Navier-Stokes calculations for three-dimensional cascades

“…Chima 6 used an explicit multigrid algorithm for quasi-three-dimensional flows. Some other contributions include Davis et al, 7 Choi and Knight, 8 and Dawes. 9 In this paper a finite volume scheme for solving the Reynoldsaveraged Navier-Stokes equations in three dimensions is presented.…”

Progress towards Understanding and Predicting Convection Heat Transfer in the Turbine Gas Path

“…The incorporation of 3D "walt functions" into the Navier-Stokes codes might be more practical. Choi and Knight (1988) also showed good three-dimensional results on the blade surface, as shown in Figure 16. The subtle, but important, differences between experiment and computation are somewhat masked by the scale of the figure.…”

“…This is shown in Figure 13b. Choi and Knight (1988) used this experimental data base to compare with their 3D numerical code predictions.…”

“…This discussion was started in the preceding section and continues here. Probably the longest term effort to develop 3D Navier-Stokes codes with heat transfer has been by Knight and Choi (Knight and Chol, 1987;Choi and Knight, 1988, 1991a, 1991b), using the q-_0 model, and by Hah (Hah, 1984(Hah, , 1989Hah and Selva, 1991) A very popular 3D Navier-Stokes code among the turbine aerodynamlcists is the Dawes (1988) code; however, to date very little work has been done with it for heat transfer. Vogel (1991) has modified the Dawes code for heat transfer and has included film cooling.…”

Three-Dimensional Navier-Stokes Analysis of a Two-Stage Gas Turbine

“…In the last few years, several codes have been developed for predicting three-dimensional viscous flow through an isolated blade row. The works of Subramanian and Bozzola (1987), Chima and Yokota (1988), Choi and Knight (1988), Davis et al (1988), Hah (1989), Nalcahashi et al (1989), Weber and Delaney (1991), Dawes (1991), Jennions and Turner (1992), and Amone (1993) are some examples of efforts in this direction. Along with the evolution in computer technology, memory and computing time have become cheap enough, and viscous codes based on the Navier-Stokes equation have become feasible for industrial applications and are routinely used in turbomachinery component design and optimization.…”