Numerical solutions of unsteady inviscid transonic turbine cascade flows. Doctoral thesis

Technical Report · Sun May 01 04:00:00 EDT 1988

OSTI ID:6742423

Moore, R M

A numerical analysis was developed to solve two-dimensional inviscid transonic turbine-type cascade flow fields. This analysis combines accuracy comparable to that of the numerical method of characteristics with the efficiency of finite-difference methods. The MacCormack explicit finite-difference method is used to solve the unsteady Euler equations. Steady solutions are calculated as asymptotic solutions in time. A conservation variable formulation of the Kentzer method has been developed in this investigation and is used to derive appropriate equations for the flowfield boundaries. The Kentzer method is based on characteristic theory, but uses a finite difference method, consistent with the method used at interior points, to integrate the appropriate boundary equations. A grid generator was been developed to crease C-type grids around cascade blades using techniques similar to the Poisson equation grid-generation techniques developed by Steger and Sorensen. Two different planar turbine-type cascades were studied. The AACE II cascade blades are typical of the nozzle blades found in the first stator in a turbine. The GMA 400 cascade blades are typical of later turbine stator blades.

• Research Organization: Air Force Inst. of Tech., Wright-Patterson AFB, OH (USA)
• OSTI ID: 6742423
• Report Number(s): AD-A-196111/9/XAB; AFIT/CI/NR-88-8
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400* -- Engineering-- Heat Transfer & Fluid Flow
ACCURACY
ELECTRODES
EQUATIONS
FINITE DIFFERENCE METHOD
FLUID FLOW
GRIDS
IDEAL FLOW
ITERATIVE METHODS
MACHINERY
MATHEMATICS
NOZZLES
NUMERICAL ANALYSIS
NUMERICAL SOLUTION
STATORS
TRANSONIC FLOW
TURBINE BLADES
TURBINES
TURBOMACHINERY
TWO-DIMENSIONAL CALCULATIONS