Accession Number : ADA380493


Title :   A General Theory of Three-Dimensional Flow in Subsonic and Supersonic Turbomachines of Axial-, Radial, and Mixed-Flow TYpes


Descriptive Note : Technical note


Corporate Author : NATIONAL AERONAUTICS AND SPACE ADMINISTRATION WASHINGTON DC


Personal Author(s) : Wu, Chung-Hua


Full Text : http://www.dtic.mil/dtic/tr/fulltext/u2/a380493.pdf


Report Date : Jan 1952


Pagination or Media Count : 97


Abstract : A general theory of steady three-dimensional flow of a nonviscous fluid in subsonic and supersonic turbomachines having arbitrary hub and casing shapes and a finite number of blades is presented, The solution of the three-dimensional direct and inverse problem is obtained by investigating an appropriate combination of flows on relative stream surfaces whose intersections with a z-plane either upstream of or some- where inside the blade row form a circular arc or a radial line. The equations obtained to describe the fluid flow on these stream surfaces show clearly the several approximations involved in ordinary two-dimensional treatments. They also lead to a solution of the three-dimensional problem in a mathematically two-dimensional manner through iteration. The equation of continuity is combined with the equation of motion in either the tangential or the radial direction through the use of a stream function defined on the surface, and the resulting equation is chosen as the principal equation for such flows. The character of this equation depends on the relative magnitude of the local velocity of sound and a certain combination of velocity components of the fluid. A general method to solve this equation by both hand and high-speed digital machine computations when the equation is elliptic or hyperbolic is described. The theory is applicable to both irrotational and rotational absolute flow at the inlet of the blade row and at both design and off-design operations.


Descriptors :   *THREE DIMENSIONAL FLOW , SUBSONIC CHARACTERISTICS , SUPERSONIC CHARACTERISTICS , TURBOMACHINERY


Subject Categories : Fluid Mechanics


Distribution Statement : APPROVED FOR PUBLIC RELEASE