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  • 1- Fakülteler | Faculties
  • Mühendislik Fakültesi / Faculty of Engineering
  • Makine Mühendisliği Bölümü / Department of Mechanical Engineering
  • MF - Makale Koleksiyonu | Makine Mühendisliği Bölümü / Department of Mechanical Engineering
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Semianalytical solution of unsteady quasi-one-dimensional cavitating nozzle flows

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Date

2014-06

Author

Delale, Can Fuat
Pasinlioǧlu, Şenay
Başkaya, Zafer
Schnerr, Günter H.

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Citation

Delale, C. F., Pasinlioğlu, Ş., Başkaya, Z. & Schnerr, G. H. (2014). Semianalytical solution of unsteady quasi-one-dimensional cavitating nozzle flows. Journal of Engineering Mathematics, 86(1), 49-70. 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.

Source

Journal of Engineering Mathematics

Volume

86

Issue

1

URI

https://hdl.handle.net/11729/534
http://dx.doi.org/10.1007/s10665-013-9645-6

Collections

  • MF - Makale Koleksiyonu | Makine Mühendisliği Bölümü / Department of Mechanical Engineering [19]
  • Scopus İndeksli Makale Koleksiyonu [799]
  • WoS İndeksli Makale Koleksiyonu [817]



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