ISSN:
1619-6937
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
,
Physics
Notes:
Summary The solution of the blade-to-blade (quasi-3-dimensional) steady, inviscid flow in turbomachines is considered as a quantitative prediction of the flow and as a good approximation of the real three-dimensional flow. The well known governing differential equation is of elliptic type and its numerical solution is a rather difficult problem (taking also into account the complex form of the S1 stream surface). By the procedure proposed, the S1 stream surface in the (m, θ) coordinate system is transformed into a rectangular (x,, y, space, by the application of the following transformation:x=m/L, (θ−θ1)/(θ2−θ1), whereθ1 and θ2 are the angular positions of the lines limiting the S1 surface, andL the length of the meridional projection of the blade. By the introduction of this transformation, extra terms are added to the differential equation, but now the definition of the grid is easier. From the transformed differential equation, a system of algebraic equations is obtained applying the finite volume method. The system of algebraic equations is solved by a relaxation method with periodic boundary conditions. The grid applied in the (x, y) coordinate system is not of uniform density in order to define better the geometry of the blades near the leading and trailing edges. Finally the results from the application of the procedure on a centrifugal, mixed flow pump are presented; i.e. relative velocity and static pressure distribution along the blade surfaces.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01450390
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