A weak-inertia mathematical model of bubble growth in a polymer foam

• Published in: Journal of non-Newtonian fluid mechanics Vol. 244; pp. 1 - 14
• Main Authors: Barlow, Euan, Bradley, Aoibhinn M., Mulholland, Anthony J., Torres-Sanchez, Carmen
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 01.06.2017; Elsevier BV
• Subjects: Analytic solution; Asymptotic properties; Bioengineering; Bubble growth; Bubbles; Fluid pressure; Inertia; Irradiation; Iterative methods; Mathematical models; Oldroyd-B fluid; Picard iterations; Polymeric foam; Polymers; Porosity; Scaffolds; Stress tensors; Tensors; Polymeric foam; Oldroyd-B fluid; Inertia; Analytic solution; Bubble growth

•The growth of a single bubble in a free rising, non-reacting polymer foam is modelled.•Irradiation by an acoustic standing wave and the effects of inertia are incorporated.•A matched asymptotic analysis yields inner and outer solutions in the temporal domain.•Increasing the applied acoustic pressur...