Analysis of diffusion-induced bubble growth in viscoelastic liquids

Experimental and numerical studies on the effects of pressure release rate on number density of bubbles and bubble growth in a polymeric foaming process

“…They derived a nucleation model based on the concept that heterogeneous nucleation originated from pre-existing microvoids on the solid particles and simulated the bubble nucleation and growth. They used the viscoelastic bubble growth model derived by Venerus et al (1998). The calculation results of number density of bubbles and bubble radius showed a good agreement with the experimental data obtained from the extrusion experiment.…”

“…(6) using not only the integral method (Arefmanesh et al, 1992;Han and Yoo, 1981;Payvar, 1987;Rosner and Epstein, 1972;Shafi et al, 1996) but also the finite difference schemes (Arefmanesh and Advani, 1991;Arefmanesh et al, 1992;Venerus, 1998Venerus, , 2001Venerus and Yala, 1997). The finite difference scheme seems more accurate than the integral method for the calculation of change in bubble radius.…”

A numerical model for combustion of bubbling thermoplastic materials in microgravity

“…where A rigorous model of diffusion-induced growth in viscoelastic fluids including convection, diffusion, surface tension, and inertial effects for a variety of viscoelastic constitutive relations was performed by Venerus et al [41]. This analysis showed that the bubble growth rate in a viscoelastic fluid is bounded below by growth in a Newtonian fluid and above by diffusion-controlled growth, and that the effects of nonlinear fluid rheology are minor relative to elasticity effects.…”

Effect of Bulk and Interfacial Rheological Properties on Bubble Dissolution

“…However, after longer times the same steady-state situation was obtained. A more rigorous analysis was carried out by Venerus et al (15,16) who incorporated nonlinear viscoelastic models, convective and diffusive mass transport, constant interfacial tension, deformational stress, and inertial effects. Predictions for bubble growth dynamics demonstrated the importance of fluid elasticity.…”