Understanding Water Fountain Dynamics: Air Dilatation and Temperature Effects

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I want to study a a kind of fountain based on air dilatation with temperature. Even though the principle of the fountain is simple, the calculations involved are not. I have a hard time doing the math for the process of water propulsion. So I think that analyzing the outcome (the water movement), I might get a better idea of what is going on. What I am precisely asking is if someone knows about some articles that might help me study the movement of water through air after it leaves the pipe.
So far I have found different things on the internet that treat the water as a normal rigid projectile, which in my opinion is useless, because, if you look at a fountain, at first the water flows like through a pipe, then it splits into water bubbles due to the frictional forces.
Could anyone offer me a direction in doing the calculations or point out some articles that might help me.
 
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