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Equalizing plane incompressible fluid flow through a rotating circular lattice of thin curved profiles with radial direction at the inlet

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Abstract

The problem of equalizing the two dimensional flow of an incompressible fluid through a plane lattice of radial plates has been solved approximately by Mitrokhin [1]. In the following we present an approximate solution of the same problem for a cascade of thin curved blades which have a radial direction at the entrance. The bases of the proposed solution are the same assumptions as used in [1]. The formulas of Mitrokhin for the cascade of radial plates are a particular case which derives from the formulas obtained for the flow equalization radius and energy losses associated with separated flow.

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Abbreviations

p:

static pressure

p* :

total pressure

c:

absolute velocity

w:

relative velocity

u:

circumferential velocity

α:

angle between absolute and circumferential velocity vectors

β:

angle between relative and circumferential velocity vectors

ε:

angle that defines the coordinate of a profile point, measured counterclockwise from the tangent to the profile at the cascade inlet

ω:

cascade angular velocity

r:

radius

ρ:

fluid density

ϕ :

cascade angular pitch

z:

number of profiles

θ:

angle that defines the coordinate of a flow point, measured from the centerline of the interblade passage

1, 2, and ℴ:

to the parameters at the inlet to and exit from the cascade and at the flow equalization radius

References

  1. V. T. Mitrokhin, “The problem of equalizing two-dimensional flow of an incompressible fluid through a rotating cascade of radial plates,” Izv. AN SSSR, Mekhanika i mashinostroenie, no. 5, 1960.

  2. N. E. Kochin, I. A. Kibel, and N. V. Roze, Theoretical Hydromechanics, Part 1 [in Russian], Fizmatgiz, 1963.

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Authors and Affiliations

  1. Donetsk

    N. B. Treiner

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  1. N. B. Treiner
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Treiner, N.B. Equalizing plane incompressible fluid flow through a rotating circular lattice of thin curved profiles with radial direction at the inlet. Fluid Dyn 2, 72–75 (1967). https://doi.org/10.1007/BF01013717

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  • DOI: https://doi.org/10.1007/BF01013717

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