Theoretical analysis of inertially irrotational and soleniodal flow in twodemensional radial flow pump and turbine impellers with equiangular blades
Visser, F.C. and Brouwers, J.J.H. and Badie, R. (1994) Theoretical analysis of inertially irrotational and soleniodal flow in twodemensional radial flow pump and turbine impellers with equiangular blades. Journal of Fluid Mechanics, 269 . pp. 107141. ISSN 00221120

PDF
1MB 
Abstract:  Using the theory of functions of a complex variable, in particular the method of conformal mapping, the irrotational and solenoidal flow in twodimensional 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[rightward arrow]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 twodimensional 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 onedimensional Eulerianbased expressions for developed head of pumps and delivered work of turbines are given. 
Item Type:  Article 
Copyright:  © 1994 Cambridge University Press 
Link to this item:  http://purl.utwente.nl/publications/32255 
Official URL:  http://dx.doi.org/10.1017/S0022112094001503 
Export this item as:  BibTeX EndNote HTML Citation Reference Manager 
Repository Staff Only: item control page
Metis ID: 144506