On asymptotical & numerical analyses of liquid jets

[摘要] Liquid jet breakup is a commonly occurring phenomenon in the world and controlling the breakup process is very important and useful in many industrial, engineering and medical fields. In this thesis, we investigate the behaviour of liquid jets and, in particular, how to control the breakup of liquid jets. For that purpose, we examine the behaviour of linear and nonlinear waves travelling along a liquid jet using two different methods, the classical method and then the Needham-Leach method. We perform a linear temporal instability analysis of steady-state solutions and obtain a temporal dispersion relation, which we solve numerically to investigate the behaviour of maximum growth rates and maximum wave numbers of the most unstable wavedisturbance. We also obtain the nonlinear temporal equations, which we solve to get useful information about the breakup length, main and satellite drop sizes, by changing key physical parameters of the problem. We obtain useful information about the liquid jet breakup, the region of breakup and, most importantly, the means of controlling the liquid jet breakup. We also obtain an asymptotic solution to the liquid jet equations for large space and time limits.

[发布机构] University:University of Birmingham;Department:School of Mathematics

[关键词] Q Science;QA Mathematics