A buffer tank, shown schematically below, is to be designed for storage of liqui
ID: 1856978 • Letter: A
Question
A buffer tank, shown schematically below, is to be designed for storage of liquid that will be flowing into the tank with an average flow rate of 5 m3/sec. The density of the liquid is 1000 kg/m3. The flow rate out of the tank will be controlled by a valve having constant k = 0.25 m4/N0.5-sec. Design the tank (find its shape and size) to meet the following design specifications: The tank must not overflow when the input flow rate undergoes step changes with maximum magnitude of 0.5 m /sec. When the input flow rate changes in a stepwise manner, the liquid height should reach 95% of its new steady-state value in less than 15 seconds. Use linearization approach to perform design calculations. Verify your tank designs via Simulink.Explanation / Answer
h = hieght of lqiud in tank ::
V = infolw rate = 5 m^3/s
m= mass of liqiud = 1000*A*h
A -cross section
Vo = out flow rate = k(p- 1000*9.8*h)^0.5
total inflow = 5-Vo
0 = 5 -k (p- 1000*9.8*h)^0.5
solve for h :::
when there change in input flow change = 0.5 , then input = 5.5
=[ 5.5 -k (p- 1000*9.8*h)^0.5] dt
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