A complete theoretical description of multi-celled vortices is complex. Nevertheless, a simplified approach like the one presented in this thesis can provide the most fundamental characteristics satisfactorily.
In this model all velocity distributions are bounded. The solution is obtained using MATLAB and Maple 14 code. The main goal is to develop a numerical technique that will provide good fits to a variety of actual vortices of different types.
The simulated results correlate well actual data of some naturally and experimentally occurring vortices. Two-celled vortices developed in the intakes of gas turbine engines operating near the ground, wing-tips, tornadoes and vortices generated under a liquid-air interfacial wave by wind action are examined here.
The correlations provided in this thesis are biased towards two-cell vortices because a fair number of actual data for the velocity are readily available in the scientific literature. In addition, a simulated four-cell vortex model also described.