The Third Two-Dimensional Problem of Three-Dimensional Blade Systems of Hydraulic Machines—Part 2: Analytical Results

[+] Author and Article Information
P. K. Agarwal

Department of Mechanical Engineering, M.L.N. Engineering College, Allahabad, India

G. V. Viktorov

Department of Hydraulic Machines, Moscow Power Institute, Moscow, USSR

J. Fluids Eng 103(1), 42-51 (Mar 01, 1981) (10 pages) doi:10.1115/1.3240779 History: Received January 27, 1977; Online October 26, 2009


This is the second part of a study of the “third” two-dimensional problem of three-dimensional blade systems of hydraulic machines. Part I described the formulation of the problem and the proposed method of solution to determine the velocity field on surfaces orthogonal to mean axisymmetric stream surfaces. Part II presents the numerical method of solving the integral equations; a few numerical examples for actual impellers/runners are also given. The results are presented in a series of figures and tables showing the distribution of the velocity component c2 along the blade profile on the surface q1 = const. The purpose of these numerical examples is to demonstrate the method and to help create a general understanding and awareness of the flow conditions existing in the runner passage.

Copyright © 1981 by ASME
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