Bubble impingement in the presence of a solid particle: A computational study

Abstract

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An Experimental and Numerical Investigation on Bubble Growth in Polymeric Foams

“…In order to compare with experimental data and to further investigate quantities that are hardly attainable experimentally, e.g., the stress fields in the polymeric liquid, we perform three-dimensional direct numerical simulations of bubble growth in a viscoelastic liquid with the finite element method. Recently, the finite element method has been employed to simulate the growth of gas bubbles in Newtonian liquids both in 2D and in 3D [ 9 , 10 , 11 ], yet, to the best of our knowledge, this is the first time that bubble dynamics in a viscoelastic liquid is studied computationally in 3D. As an input to the simulations, it is required to provide a suitable bubble growth law, which is derived by extending the analytic model for the growth of a single bubble in a liquid available in the literature [ 6 , 12 ] to the case of a liquid with a multi-mode viscoelastic constitutive equation.…”

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