- #1
vigintitres
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Homework Statement
I just need to get these eqn's together to form a DE
Homework Equations
Q = CA*sqrt(2gH) = -dV/dt
and
V = pi/3 * H^2 * (3*r - H)
These eqn's refer to a sphere which has a flow Q of fluid out the bottom of said sphere. The radius of the sphere is r, the height H is from the bottom of the sphere (where the hole is) to the top of the liquid. Also, C is a constant and A is just the area pi*r^2
The Attempt at a Solution
I need to get a differential eqn in terms of H but I've exhausted, from what I can see, any algebraic manipulation. The final story to be told will use Heun's method to determine how long it takes to drain the liquid out of the sphere (I fully understand the method, it is just this preliminary step which I am confused about)