The incompressible and inviscid flow in two-dimensional, radial-flow, pump impellers fitted with straight radial blades is reanalyzed analytically with the aid of the theory of functions of a complex variable, in particular by using the method of conformal mapping. The fluid velocity along the impeller blades is newly solved in closed-form by a Fourier series, with the Fourier coefficients being given by the hypergeometric function or (Gauss) series. Previously unpublished expressions in closed-form and illustrating graphs are presented for slip factors, the condition of shockless entry, and the volume flow rate minimally required for efficient operation. An (illustrative) extension of the classical, one-dimensional, Eulerian expression for developed head of radially bladed pump impellers is discussed, quantifying the effect of finite blade numbers.
|Title of host publication||Proceedings of the Second ASME Pumping Machinery Symposium|
|Place of Publication||Washington DC, USA|
|Publisher||American Society of mechanical Engineering|
|Publication status||Published - 28 Feb 1993|
|Event||2nd ASME Pumping Machinery Symposium 1993 - Washington, United States|
Duration: 20 Jun 1993 → 24 Jun 1993
|Other||2nd ASME Pumping Machinery Symposium 1993|
|Period||20/06/93 → 24/06/93|
Visser, F. C., & Brouwers, J. J. H. (1993). Review of status of potential flow calculations in redially bladed pump impellers. In Proceedings of the Second ASME Pumping Machinery Symposium (pp. 219-226). Washington DC, USA: American Society of mechanical Engineering.