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Boundary Element Simulations of Compressible Bubble Dynamics in Stokes Flows

[+] Author Affiliations
Yulia A. Itkulova, Olga A. Abramova

Bashkir State University, Ufa, Bashkortostan, RussiaRussian Academy of Sciences, Ufa, Bashkortostan, Russia

Nail A. Gumerov

University of Maryland, College Park, MDBashkir State University, Ufa, Bashkortostan, Russia

Paper No. IMECE2013-63200, pp. V07BT08A010; 8 pages
doi:10.1115/IMECE2013-63200
From:
  • ASME 2013 International Mechanical Engineering Congress and Exposition
  • Volume 7B: Fluids Engineering Systems and Technologies
  • San Diego, California, USA, November 15–21, 2013
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-5632-1
  • Copyright © 2013 by ASME

abstract

Modeling of dynamics of compressible bubbles in acoustic fields at low Reynolds numbers is of interest for a number of contemporary micro- and nanotechnologies. Despite the boundary element method (BEM) is an appropriate method to simulate deformation of three-dimensional bubbles computation of compressible bubbles dynamics using conventional BEM causes difficulties due to degeneration of the resulting system of equations. In the present approach additional relations based on the Lorentz reciprocity principle are used to resolve the problem. The approach is validated by test simulations of dynamics of single bubbles and bubble clusters including strong bubble-bubble interaction in acoustic fields and shear flows.

Copyright © 2013 by ASME

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