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Mathematical Theory and Numerical Simulation of Bubbly Cavitating Nozzle Flows

  • Can F. Delale
  • Şenay Pasinlioğlu
  • Zafer Başkaya
Chapter

Abstract

Unsteady quasi-one-dimensional and two-dimensional bubbly cavitating nozzle flows are considered using a homogeneous bubbly flow model. For quasi-one-dimensional nozzle flows, the system of model equations is reduced to two evolution equations for the flow speed and bubble radius and the initial and boundary value problems for the evolution equations are formulated. Results obtained for quasi-one-dimensional nozzle flows capture the measured pressure losses due to cavitation, but they turn out to be insufficient in describing the two-dimensional structures. For this reason, model equations for unsteady two-dimensional bubbly cavitating nozzle flows are considered and, by suitable decoupling, they are reduced to evolution equations for the bubble radius and for the velocity field, the latter being determined by an integro-partial differential system for the unsteady acceleration. This integro-partial differential system constitutes the fundamental equations for the evolution of the dilation and vorticity in two-dimensional cavitating nozzle flows. The initial and boundary value problem of the evolution equations are then discussed and a method to integrate the equations is introduced.

Keywords

Void Fraction Flow Speed Bubble Radius Cavitation Number Cavitating Flow 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgment

This paper is dedicated to Professor Yu.N. Savchenko on the occasion of his 70th birthday.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Can F. Delale
    • 1
  • Şenay Pasinlioğlu
  • Zafer Başkaya
  1. 1.Department of Mechanical EngineeringIşιk University, ŞileIstanbulTurkey

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