Stability of Radial Translation of Bubble in a Newtonian Ferro fluid Under Magnetic Field

In this paper, the effect of magnetic field on bubble growth and stability is investigated. Bifurcation, Lyapunov exponent and time series are plotted versus amplitude, frequency and non-dimensional fluid and flow properties to emphasize the damping effect of magnetic field. As a result, bubble experiences a chaotic unstable region as the amplitude and the frequency of the ultrasonic pulse increase, due to the period doubling. On the other hand, by increasing the magnetic term these fluctuations are removed. The results are in agreement with the reported results

کلیدواژه ها:

Bubble ، Magnetic Field ، Chaos ، Lyapunov exponent ، Bifurcation