Theoretical Studies of Three Dimensional Transonic Flow Through a Compressor Blade Row


Book Description

Three-dimensional flow effects play an important role in the performance of axial-flow fans and compressors that operate at transonic speeds. The coupling between transonic and three-dimensional effects limits the applicability of the two-dimensional analysis methods that have been in use for some years. The present research program was undertaken with the aim of extending these numerical techniques, so as to handle more fully the nonlinearity of the problem. Thus, heavily loaded blades with large turning angles are to be considered, and the simplifications of small-disturbance theory (such as satisfaction of boundary conditions on mean-chord surfaces, neglect of trailing vortex-sheet deformation) will not be used.







Three-Dimensional Compressible Flow Through Highly Loaded Axial Compressor Blade Rows


Book Description

Three-dimensional inviscid flows through axial compressor cascades have been analyzed both in rectilinear and annular geometry, using Beltrami flow concepts. Comparison has been made with experimental data available from the M.I.T. Blowdown Compressor Test Facility. Such comparison indicates strongly that certain three-dimensional effects included in this theory are actually present in the real flow and that these may be important in practical design and performance analyses. The new theory is linearized about the nonlinear mean flow, so that large, practical pressure ratios can be included in the analysis. Examples have been given to show that three-dimensional induced-velocity effects can be as important, in highly-loaded transonic ducted fans, as many other effects currently included in engine design codes. This 'quasi-linear' theory also has important implications regarding transonic compressor noise spectra.
















A FORTRAN Program for Calculating Three-dimensional, Inviscid, Rotational Flows with Shock Waves in Axial Compressor Blade Rows


Book Description

Summary: A FORTRAN-IV computer program has been developed for the calculation of the inviscid transonic/supersonic flow field in a fully three-dimensional blade passage of an axial compressor rotor or stator. Rotors may have dampers (part-span shrouds). MacCormack's explicit time-marching method is used to solve the unsteady Euler equations on a finite difference mesh. This technique captures shocks and smears them over several grid points. Input quantities are blade row geometry, operating conditions and thermodynamic quantities. Output quantities are three velocity components, density and internal energy at each mesh point. Other flow quantities are calculated from these variables. A short graphics package is included with the code, and may be used to display the finite difference grid, blade geometry and static pressure contour plots on blade-to-blade calculation surfaces or blade suction and pressure surfaces. Flows in four transonic compressor rotors have been analyzed and compared with exit flow field measurements and intra-blade static density measurements obtained with a gas fluorescence technique. These comparisons have generally shown that the computed flow fields accurately model the experimentally determined passage shock positions and overall aerodynamic performance. The computer code was developed and generally run on a large minicomputer system, a Digital Equipment Corporation PDP-ll/70, with run times of two to three days. The code has also been run on several main-frame computers (IBM 3033, IBM 360/678, UNIVAC 1110, CDC 7600 and a CRAY-1). Typical run times on an IBM 3033 have been found to be 5-10 hours.