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From: Scott on 9 Aug 2010 03:28
Hi all,

I have a question regarding a two-tank system. Basically there is an inflow into tank 1 that then flows into tank 2 and finally there's an outflow. The equation describing tank 1 is: A1dH1/dt = Qv1 - Qv2
and tank 2 is: A2dH2/dt = Qv2 - Qv3
where A1 and A2 = 0.01m^2

Also, Qv2 = Cd2a2*sqrt[2g (H1 - H2)]
and Qv3 = Cd3a3*sqrt[2g (H2 - H3)]

where:
a2 = 0.00003m^2
a3 = 0.000025m^2
Cd2 = 0.75
Cd3 = 0.5
g = 9.81 m/s^2
H3 = 0.02m

At t=0, Qv1 is applied (Qv1 can be any random value chosen).

I need to use simulink to develop a model of the system for the initial conditions:

1. Both tanks are initially empty;
2. Both tanks are initially filled to 0.02m
3. Both tanks are initially filled to H1 = 0.5m

Using the data given I have come to the result that the final set of ODE's are:

dH1/dt = [Qv1 - 2.25E-5*sqrt(19.62*(H1-H2))]/0.01
dH2/dt = [(2.25E-5*sqrt(19.62*(H1-H2)))-(1.25E-5*sqrt(19.62*(H2-0.02)))]/0.01

However how to model these in Simulink is beyond me...
Any help is much appreciated.
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