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Delale, Can F.; Pasinlioglu, Senay; Baskaya, Zafer; Schnerr, Guenter H.
{ "DOI": "10.1007/s10665-013-9645-6", "abstract": "Unsteady quasi-one-dimensional bubbly cavitating nozzle flows are considered by employing a homogeneous bubbly liquid flow model, where the nonlinear dynamics of cavitating bubbles is described by a modified Rayleigh-Plesset equation. The model equations are uncoupled by scale separation leading to two evolution equations, one for the flow speed and the other for the bubble radius. The initial-boundary value problem of the evolution equations is then formulated and a semianalytical solution is constructed. The solution for the mixture pressure, the mixture density, and the void fraction are then explicitly related to the solution of the evolution equations. In particular, a relation independent of flow dimensionality is established between the mixture pressure, the void fraction, and the flow dilation for unsteady bubbly cavitating flows in the model considered. The steady-state compressible and incompressible limits of the solution are also discussed. The solution algorithm is first validated against the numerical solution of Preston et al. [Phys Fluids 14:300-311, 2002] for an essentially quasi-one-dimensional nozzle. Results obtained for a two-dimensional nozzle seem to be in good agreement with the mean pressure measurements at the nozzle wall for attached cavitation sheets despite the observed two-dimensional cavitation structures.", "author": [ { "family": "Delale", "given": " Can F." }, { "family": "Pasinlioglu", "given": " Senay" }, { "family": "Baskaya", "given": " Zafer" }, { "family": "Schnerr", "given": " Guenter H." } ], "container_title": "JOURNAL OF ENGINEERING MATHEMATICS", "id": "64267", "issue": "1", "issued": { "date-parts": [ [ 2014, 1, 1 ] ] }, "page": "49-70", "title": "Semianalytical solution of unsteady quasi-one-dimensional cavitating nozzle flows", "type": "article-journal", "volume": "86" }
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