How to study this kind of flow ?

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To study fluid flow from an upper volume to a lower one, the Navier-Stokes equations, along with conservation principles, are applicable. The choice of coordinate system, whether Cartesian or polar, can affect the complexity of the calculations, but ultimately, any system will yield the same results. Cartesian coordinates are recommended for simplicity unless a custom system is developed. The discussion highlights the importance of defining the specific objectives of the study to determine the best approach. Understanding these principles is essential for accurately modeling fluid dynamics.
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how to study this kind of flow ??

how will the water flow from the upper volume to the second one ??
 

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umm...Downward? Could you be more specific?
 


my friend i mean which theory will be presentable to study the flow from up to the bottom ??
 


The same theory that covers any other fluid flow problem: the Navier-Stokes equations, conservation of mass and energy...
 


boneh3ad i know the NSE can be applied to all systems on the Earth but here how can we apply it ?? in cartisian co-ord. or we will use the polar co-ord. and in the redius direction or in the angel direction i think its complicated , i have studied this case and get an equation for flow using the orifice principle , but i don't know if navier stokes will give the same result or not ?? your reply will be appreciated
 


You could use any coordinate system you want and it would give the same answer. That is the beauty of physics like this. Some just make it easier than others. You would have to do Cartesian coordinates here to make it easiest unless you came up with your own system. Exactly what you would do would depend on what you want, and you haven't told us that.
 
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