A numerical study of the effect of viscoelasticity on\ud cavitation and bubble dynamics

0044 English OPEN
Lind, Steven John;
  • Subject: QA
    arxiv: Physics::Fluid Dynamics

In this thesis two different models and numerical methods have been developed to investigate the dynamics of bubbles in viscoelastic fluids. In the interests of gaining crucial initial insights, a simplifed system of governing equations is first considered. The ambient ... View more
  • References (113)
    113 references, page 1 of 12

    8.1 The First Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 259

    8.1.1 Spherical Bubble Dynamics . . . . . . . . . . . . . . . . . . . . 259

    8.1.2 Bubble Dynamics Near a Rigid Wall . . . . . . . . . . . . . . . 260

    8.1.3 Two Bubble Dynamics Near a Rigid Wall . . . . . . . . . . . . 261

    8.1.4 Bubble Dynamics Near a Free Surface . . . . . . . . . . . . . . 261

    8.1.5 Rising Gas Bubbles . . . . . . . . . . . . . . . . . . . . . . . . . 262

    8.2 The Second Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 262

    8.3 Model Comparisons . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 264

    A Cubic Spline Construction 267

    A.1 Natural Spline . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 268

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