Transient deformation of an inviscid inclusion in a viscoelastic extensional flow |
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Affiliation: | 1. Department of Mechanical Engineering, University of British Columbia, Vancouver, BC, V6T 1Z4, Canada;2. Department of Mathematics, University of British Columbia, Vancouver, BC, V6T 1Z2, Canada |
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Abstract: | The transient deformation of a bubble in a viscoelastic extentional flow is analyzed by means of a finite element algorithm for viscoelastic moving boundary problems. Using the Oldroyd-B constitutive model, we find that bubbles in a viscoelastic fluid deform to the same steady-state configurations as bubbles in a Newtonian fluid at equal values of the far-field extensional stresses (corresponding to different stretch rates). Vapor bubbles in a developed extensional flow collapse more readily in the viscoelastic liquid than bubbles in Newtonian fluids because of the large compressive stresses associated with the viscoelastic liquid. |
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