Accession Number : AD0635170

Title :   AN APPROXIMATE NUMERICAL METHOD OF CALCULATING A THREE-DIMENSIONAL FLOW IN A STEAM-TURBINE STAGE.

Descriptive Note : ATD work assignment no. 88.

Corporate Author : AEROSPACE TECHNOLOGY DIV LIBRARY OF CONGRESS WASHINGTON D C

Personal Author(s) : Shubenko-Shubin, L. A. ; Poznakhirev,V. F.

Report Date : 20 APR 1966

Pagination or Media Count : 13

Abstract : TO OBTAIN A CLOSED SYSTEM OF DIFFERENTIAL EQUATIONS DESCRIBING THE MOTION OF STEAM OR GAS THROUGH A STAGE OF AN AXIAL=FLOW T*BOMACHINE, IT IS NECESSARY TO DEFINE ADDITIONAL CONDITIONS. The importance of the additional conditions as the main factors determining the design of the stage blades is shown. The equations of motion and continuity are written in terms of the heat drop and the geometric characteristics of the stage. This form of the expression permits the definition of the initial, boundary, and additional conditions, which are based on the real stage blade design, the utilization of the available design experience, and the evaluation of the stage from the point of view of strength, and fabrication and economic requirements. The analysis of the problem of three-dimensional flow through a stage of an axial-flow turbomachine has shown that four types of problem formulation are possible and a certain solution method is necessary for each one. By solving the equations of motion and continuity simultaneously, the heat-drop derivative in the axial direction is eliminated, thus making it possible to reduce the solution of the problem to the solution of an ordinary first-order differential equation using the method of lines. Since the hypothesis that the flow in the turbine is axisymmetric introduces a substantial error into the calculation results, a method is proposed which makes it possible to approximately account for the non-uniformity of the flow while retaining the mathematical advantages of the axisymmetric circulation technique. (Author)

Descriptors :   (*NUMERICAL METHODS AND PROCEDURES, THREE DIMENSIONAL FLOW), (*THREE DIMENSIONAL FLOW, *STEAM TURBINES), USSR

Subject Categories : Non-electrical Energy Conversion
      Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE