i having trouble with this formula $$ Z1(t) = Ze+(\sqrt{Z1-Ze}-\frac{2S0}{S1}\sqrt{2g(1+\frac{S1}{S2})}.t)² $$
Z1 and Z2 are the heights of the vessels. S1 and S2 are the sections of the vessels. S0 is the section of the tube between them (for the exchange). Ze is the final height of the two vessels.
Z1(t) is the height at t
but i only get incorrect values and don't know if the formula is wrong of if its me.
for testing is use Z1 = 45
Z2 = 5
S0=2$\pi$0.3=1.884
S1=2$\pi$10=62.8
S2=2$\pi$10=62.8
$Ze = \frac {S1.Z1 + S2.Z2} {S1+S2}=\frac {62.8.45 + 62.8.5} {62.8+62.8}=25$
thanks
I'm thinking S0, S1, and S2 should be the cross sectional areas of the connecting tube and the two cylinders. The calculation above seems to be calculating the circumferences of the cylinders and connecting tube.