Bubble Behavior in an Ultrasonic Field, Stability Analyses with Bifurcation Diagram: Effect of Polytropic Gas Exponent, Hydrostatic Pressure and Ultrasonic Pressure

Bubble growth subject and its oscillation , both have been researched for years . bubbles in the universe can be seen at various fields , such as : industry of polymer , medicine manufacturing ,constructions (concreting steps) and etc. Here the paramount issue is how to control the growth bubble in various positions. The polymer coarse or fine-grained nature will be determined by growth of bubble and the protein injection into a vein. In medical cases, if bubble growth did not get controlled, the effect of created pressure could be perilous to vital tissues (noticing that blood has nonlinear viscosity and it isvisco-elastic fluid ). To obtain and get satisfactory bubble growth control, the effects of bubble shell viscosity and magnetic field have been studied together in different applied fluids by solving the modified Herring equation. In addition, different amounts of bubble shell viscosity and magnetic field are considered and studied by this method. Also, the bubble growth is controlled by controlling the bubble shell viscosity and magnetic field ,and it can reduce the dangers of uncontrolled growth of bubble.

کلیدواژه ها:

bubble behavior ، stability ، bifurcation diagram ، bubble growth controlling