- #1

tjholi

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- Homework Statement
- I am having trouble deriving the expression from the initial equations. (Calculate the emptying time considering Volume conservation)

- Relevant Equations
- Q=A*sqrt(b(H-h(t)) And we have dh/dt =Q/S (conservation equation) and we have to obtain h/H = 1-(1-t/te)^2 with te= (2S/A*)(H/b)^1/2

**Problem Statement:**I am having trouble deriving the expression from the initial equations. (Calculate the emptying time considering Volume conservation)

**Relevant Equations:**Q=A*sqrt(b(H-h(t)) And we have dh/dt =Q/S (conservation equation) and we have to obtain h/H = 1-(1-t/te)^2 with te= (2S/A*)(H/b)^1/2

I know this is solving a 1st order ODE but I am lost at rearranging prior to solving.

This is not to be submitted, I am revising for an exam)

Thanks for your help

J