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Axisymmetric shape of gas bubbles in a uniform flow: Numerical study of bifurcation by analytic continuation

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  • Er-Riani, Mustapha
  • Filali, Youness
  • Jarroudi, Mustapha El

Abstract

This paper investigates axisymmetric shapes of an incompressible inviscid fluid bubble in a uniform flow. Approximate solutions are constructed for the governing nonlinear boundary value problem using the domain perturbation method. Bifurcation and turning points are located by applying a special type of Hermite–Padé approximation.

Suggested Citation

  • Er-Riani, Mustapha & Filali, Youness & Jarroudi, Mustapha El, 2016. "Axisymmetric shape of gas bubbles in a uniform flow: Numerical study of bifurcation by analytic continuation," Applied Mathematics and Computation, Elsevier, vol. 274(C), pages 306-317.
    • Handle: RePEc:eee:apmaco:v:274:y:2016:i:c:p:306-317
    DOI: 10.1016/j.amc.2015.10.085
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