I'm trying to come up with a differential equation to model a conical tank with a flow in (Fo) and a flow out (F=K(sqrt(h)))which is a function of the valve coefficient and the height of the liquid in the tank. The differential equation has to be in terms of the height of the liquid in the tank which is what I am unsure about. Should the differential equation be in terms of dh/dt or just h itself?
I am given placeholder parameters like Rmax=max radius of cone, Hmax = max height of cone etc. I am not looking for this diff eq to be solved...just looking for a little assistance coming up with the correct equation. Would the volume forumula for a cone come into play here?
Thanks for any help!