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  • Cited by 7
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    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Li, Wen-Guang 2013. Effects of Flow Rate and Viscosity on Slip Factor of Centrifugal Pump Handling Viscous Oils. International Journal of Rotating Machinery, Vol. 2013, p. 1.

    Hassenpflug, W.C. 2010. The incompressible two-dimensional potential flow through blades of a rotating radial impeller. Mathematical and Computer Modelling, Vol. 52, Issue. 9-10, p. 1299.

    Li, Wen-Guang 2006. Analysis of Flow in Extreme Low Specific Speed Centrifugal Pump Impellers with Multi-split-blade. International Journal of Turbo and Jet Engines, Vol. 23, Issue. 2,

    Paeng, K S and Chung, M K 2001. A new slip factor for centrifugal impellers. Proceedings of the Institution of Mechanical Engineers, Part A: Journal of Power and Energy, Vol. 215, Issue. 5, p. 645.

    van Esch, B. P. M. and Kruyt, N. P. 2001. Hydraulic Performance of a Mixed-Flow Pump: Unsteady Inviscid Computations and Loss Models. Journal of Fluids Engineering, Vol. 123, Issue. 2, p. 256.

    Visser, F C Brouwers, J J H and Jonker, J B 1999. Fluid flow in a rotating low-specific-speed centrifugal impeller passage. Fluid Dynamics Research, Vol. 24, Issue. 5, p. 275.

    Jude, Lucian and Homentcovschi, Dorel 1998. Numerical analysis of the inviscid incompressible flow in two-dimensional radial-flow pump impellers. Engineering Analysis with Boundary Elements, Vol. 22, Issue. 4, p. 271.

  • Journal of Fluid Mechanics, Volume 269
  • June 1994, pp. 107-141

Theoretical analysis of inertially irrotational and solenoidal flow in two-dimensional radial-flow pump and turbine impellers with equiangular blades

  • F. C. Visser (a1), J. J. H. Brouwers (a1) and R. Badie (a1)
  • DOI:
  • Published online: 01 April 2006

Using the theory of functions of a complex variable, in particular the method of conformal mapping, the irrotational and solenoidal flow in two-dimensional radialflow pump and turbine impellers fitted with equiangular blades is analysed. Exact solutions are given for the fluid velocity along straight radial pump and turbine impeller blades, while for logarithmic spiral pump impeller blades solutions are given which hold asymptotically as (r1/r2)n→0, in which r1 is impeller inner radius, r2 is impeller outer radius and n is the number of blades. Both solutions are given in terms of a Fourier series, with the Fourier coefficients being given by the (Gauss) hypergeometric function and the beta function respectively. The solutions are used to derive analytical expressions for a number of parameters which are important for practical design of radial turbomachinery, and which reflect the two-dimensional nature of the flow field. Parameters include rotational slip of the flow leaving radial impellers, conditions to avoid reverse flow between impeller blades, and conditions for shockless flow at impeller entry, with the number of blades and blade curvature as variables. Furthermore, analytical extensions to classical one-dimensional Eulerian-based expressions for developed head of pumps and delivered work of turbines are given.

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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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