The instability of vapor bubble growth within the diesel droplet under the condition of supercavitation

A new analytical form of dispersion equation which can be used to describe the disturbance growth rate of the diesel bubble growth instability is derived. The instability analysis of vapor bubble growth within the diesel droplet is carried out in this paper. Analysis results show: the disturbance growth rate is majorly influenced by six dimensionless variables. The disturbance growth rate initially decreases gradually then increases rapidly with increasing bubble volume fraction. The disturbance growth rate increases with increasing Weber number of vapor bubble growth, increasing Mach number and increasing diesel droplet Reynolds number. Both vapor bubble Reynolds number and ambient air Reynolds number have slightly influence on disturbance growth rate.