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Publication Detail
Competition and interaction of polydisperse bubbles in polymer foams
  • Publication Type:
    Journal article
  • Publication Sub Type:
    Article
  • Authors:
    Everitt SL, Harlen OG, Wilson HJ
  • Publication date:
    30/08/2006
  • Pagination:
    60, 71
  • Journal:
    Journal of Non-Newtonian Fluid Mechanics
  • Volume:
    137
  • Issue:
    1-3
  • Print ISSN:
    0377-0257
  • Keywords:
    polymeric fluid, bubble growth, foam, bubble interactions, size distribution
  • Notes:
    Imported via OAI, 7:29:01 22nd Dec 2006; Imported via OAI, 7:29:01 16th May 2007
Abstract
The effects of interactions between bubbles of different sizes duringbubble growth in a polymeric foam are investigated. Two models are used: atwo-dimensional simulation in which both the effects of gas diffusionthrough the polymer and bubble interactions through fluid stresses areincluded, and a three-dimensional model in which bubbles are assumed tointeract only through direct competition for gas, and diffusion of gasinto the bubbles is instantaneous.In the two-dimensional model, two different bubble sizes are used in ahexagonal array. For slow gas diffusion, the additional polymer stresseshave little effect on the final bubble size distribution. For faster gasdiffusion the growth occurs in two phases, just as was found in earlierwork for isolated bubbles: an initial rapid viscous phase and a laterphase controlled by the rate of polymer relaxation. In this later phase,polymers in the windows between neighbouring bubbles become highlystretched and these regions of high stress determine the dynamics of thegrowth.In the three-dimensional model we consider the effects of rheology on apair of different-sized spherical bubbles, interacting only throughcompetition for available gas. Viscoelastic effects result in a widerdistribution of bubble volumes than would be found for a Newtonian fluid. The effects of interactions between bubbles of different sizes duringbubble growth in a polymeric foam are investigated. Two models are used: atwo-dimensional simulation in which both the effects of gas diffusionthrough the polymer and bubble interactions through fluid stresses areincluded, and a three-dimensional model in which bubbles are assumed tointeract only through direct competition for gas, and diffusion of gasinto the bubbles is instantaneous.In the two-dimensional model, two different bubble sizes are used in ahexagonal array. For slow gas diffusion, the additional polymer stresseshave little effect on the final bubble size distribution. For faster gasdiffusion the growth occurs in two phases, just as was found in earlierwork for isolated bubbles: an initial rapid viscous phase and a laterphase controlled by the rate of polymer relaxation. In this later phase,polymers in the windows between neighbouring bubbles become highlystretched and these regions of high stress determine the dynamics of thegrowth.In the three-dimensional model we consider the effects of rheology on apair of different-sized spherical bubbles, interacting only throughcompetition for available gas. Viscoelastic effects result in a widerdistribution of bubble volumes than would be found for a Newtonian fluid.
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