- #1
Soren4
- 128
- 2
Homework Statement
Homework Equations
Fluid in rotation
The Attempt at a Solution
This exercise is quite different from the classic one of fluidi in rotation. Before rotation starts the height in one branch is bigger than in the other, so I do not really know how to approach the problem.
My main difficulty is: how can I determine the constant ##C## in the following expression in this case?
$$p(r,z)=-\rho g z+\frac{1}{2} \rho \omega^2 r^2+C$$
(The frame of reference considered has the ##z## axis towards up and placed on axis of rotation, ##r## is the radial coordinate)
The fact is that I do not really know how to impose the condition for determinimg ##C## as a function of ##\omega## (which is what I want to determine). I think that, once ##C## is determined the rest of exercise is straightforward.
So how can I determine ##C##?