Numerical Simulation of the Effect of Noble Gas Content on the Radiation of Static Single Bubble Sonoluminescence in Water and Phosphoric Acid 65wt%

In this paper, by using a hydrochemical model and thermal bremsstrahlung mechanism and four -order Runge- Kutta algorithm the dependence of static single bubble sonoluminescence in water and phosphoric acid 65wt% solutionas the optimal concentration of phosphoric acid on noble gas content are numerically investigated. In order to have stable single bubble sonoluminescence and calculation initial parameters of the bubble such as initial radius of the bubble and acoustic pressure amplitude, three forms of instability named shape, diffusion and position instability are considered simultaneously in a region which named phase space diagram and parameters have been used in the calculations. Numerical results show that sonoluminescence temperature and intensity from phosphoric acid 65wt% solution at the moment of collapse are considerably greater than that of water fluid. In addition, as the atomic mass of the noble gas content in fluids increased from He to Xe the static single bubble sonoluminescence temperature and intensity in the collapse time remarkably increased which is in good agreement with available experimental results.Furthermore, numerical simulations show that in water the time of the collapse increases with the atomic mass of the noble gases, while in the liquid phosphoric acid 65% the time of the collapse decreases.