The Dynamic Behavior of Protein Bubble in Casson Fluid

Abstract

A Casson model is selected to describe the flow behavior of blood. Considering the viscoelasticity of protein film, and the finite deformation of protein bubble under the action of a Casson fluid, a nonlinear equation describing the dynamic behavior for a single protein bubble in blood is developed. The numerical method is used to study the effect of viscoelasticity of the protein film, the characteristic parameters of Casson fluid and the effect of surface tension on the dynamic behavior of protein bubble. The results show that, increasing the viscosity of Casson liquid will accelerate the amplitude decaying of protein bubble wall; the period becomes longer. In the condition that the viscosity of protein film is greater than that of Casson fluid, increasing the viscoelasticity of protein film will also accelerate the amplitude decaying of protein bubble wall. Further more, the greater the viscoelasticity of protein film is, the stronger its load bearing capacity is. Under the consideration of surface tension, the bubble wall will vibrate with higher decaying velocity of amplitude. Without considering the surface tension will lead to a greater relative deformation of protein bubble.