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Semianalytical solution of unsteady quasi-one-dimensional cavitating nozzle flows

Delale, Can F.; Pasinlioglu, Senay; Baskaya, Zafer; Schnerr, Guenter H.


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{
  "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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