Dynamic behavior of a gas bubble in viscoelastic liquids

Abstract

The dynamic characteristics of a gas bubble situated in a viscoelastic fluid of three-parameter Oldroyd model is analytically investigated. Consideration is given to the influence of the thermodynamic process of the gas inside the bubble. An equation is derived which governs the timewise variation of the bubble size. Numerical results are obtained for the collapse of a bubble due to a sudden increase in the system pressure. The influence of the physical parameters on the collapse is investigated. It is disclosed that, in the presence of elasticity, the viscous damping effects on the bubble collapse are less in viscoelastic liquids than in pure viscous fluids. The dynamic behavior of a gas bubble in a three-parameter viscoelastic fluid is simulated by a mechanical system. The mechanism of the bubble behavior may be satisfactorily explained using the model. © 1970 The American Institute of Physics.