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Mass Balance of tank

  1. Feb 15, 2016 #1
    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.

    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) = Qin - Qout

    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 = (Qin - Qout)/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 (ft3/s) * 1/A (1/ft2) * Δt (s) = ft.
     
    Last edited: Feb 15, 2016
  2. jcsd
  3. Feb 15, 2016 #2

    BvU

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    So far, so good ! Carry on !
     
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