Bubble behavior in an ultrasonic field; stability analyses with bifurcation diagram:Effect of initial bubble radius, surrounding liquid viscosity and ultrasonic pressure

Azin Asaditaheri¹ Morteza Mohammadi²

1) Energy Institute ,Istanbul Technical University, Istanbul, Turkey
2) Department of Mechanical Engineering, Urmia University of Technology, Urmia, Iran

Publication : 2nd International Conference on New Horizons in the Engineering Science 9th August 2018 / Istanbul Turkey / Yildiz Technical University(eng2018.ir)
Abstract :
The subject of the bubble growth and its oscillation has been researched for years. bubbles in our universe, can be seen in various fields, such as: polymer industry, medicine manufacturing, constructions (concreting steps) and etc. Here, the significant issue is how to control the bubble growth in different positions. The polymer coarse or fine-grained nature will be determined by the growth of bubble and protein injection into a vein. In medical cases, if bubble growth did not get controlled, the effect of the created pressure could be dangerous to vital tissues (Noticing that blood has nonlinear viscosity and it is a visco-elastic fluid). To obtain and get satisfactory control on bubble growth, the effects of bubble shell viscosity and magnetic field have been studied together in different applied fluids by solving the modified Herring equation. Also, different amounts of bubble shell viscosity and Magnetic field are considered and studied by this method. Furthermore, the bubble growth is controlled by investigating the bubble shell viscosity and magnetic field and it can reduce the perils of uncontrolled bubble growth.
Keywords : bubble behavior - stability - bifurcation diagram - bubble growth controlling .