I'll be using a mass balance calc for a tank design at work. We are designing a tank that has an automatic float switch on it, attached to a valve which will start filling the tank when the water level drops below a certain point. This tank is intended to drain quickly (flow rate not known at this time), but the fill rate will not be as large as the discharge rate. I want to have a representative model of the tank so we can ensure it will function properly.(adsbygoogle = window.adsbygoogle || []).push({});

Anyway, I just want to double check to see if I did this correctly. I think I did, as its relatively simple, but another set of eyes never hurts.

What I have done so far:

I'll skip the intro equation sorting, and get to the generic equation below:

A(dh/dt) = Q_{in}- Q_{out}

Where,

A = Tank area

h = tank height

Q = flow rate

My attempt:

I moved "A" and "dt" to the right-hand side, and got:

dh = (Q_{in}- Q_{out})/A * dt

I then integrated to get h(t):

h(t) = [(Qin-Qout)/A] * Δt

I think this would be correct, as the units leave me with "ft"

Q (ft^{3}/s) * 1/A (1/ft^{2}) * Δt (s) = ft.

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# Mass Balance of tank

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