Summary
The radial outward flow between infinite parallel planes, driven by a source of fluid at the origin, is called the radial diffuser. It is shown that the equation describing the asymptotic flow at large distances from the origin admits two branches of solutions in terms of the dimensionless radial distance parameter. The first branch of solutions exhibits pure radial outflow solutions for small values of the parameter (radial distance near infinity) and reversed flow, radially inward flow near the planes, solutions for larger values of the parameter (closer to the origin). These solutions presumably correspond to reattaching flows found by direct numerical solutions of the Navier-Stokes equations. The second branch of solutions has reversed flow for all allowable values of the parameter, but is probably not physically realizable.
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References
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von Kerczek, C.H. A note about the radial diffuser. Acta Mechanica 135, 229–233 (1999). https://doi.org/10.1007/BF01305754
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DOI: https://doi.org/10.1007/BF01305754