Shocks in quasi-one-dimensional bubbly cavitating nozzle flows

Can F. Delale, Günter H. Schnerr, Şenay Pasinlioğlu

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


Stationary and propagating shock waves in bubbly cavitating flows through quasi-one-dimensional converging-diverging nozzles 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 semi-analytical 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. The steady-state compressible limit of the solution with stationary shocks is obtained and the stability of such shocks are examined. Finally, results obtained using the semi-analytical constructed algorithm for propagating shock waves in bubbly cavitating flows through converging-diverging nozzles, which agree with those of previous numerical investigations, are presented.

Original languageEnglish
Title of host publicationBubble Dynamics and Shock Waves
PublisherSpringer Berlin Heidelberg
Number of pages30
ISBN (Electronic)9783642342974
ISBN (Print)9783642342967
StatePublished - 1 Jan 2013


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