For the below steady state process write 4 Balanced Equations and identify where any Constitutive Equations may be required for the modelling process
The below figure shows 2 cylindrical tanks interconnected with a pipe which has a valve that creates a constant resistance to flow of Rf when fully open. The height of liquid (of density ?) in the first tank is hin and the second tank hout. The cross-sectional area of the first tank is Ain m2 and the second tank Aout m2
The flow rate of liquid through the valve is given by
where Q =
Produce a Mathematical model of the process to determine the change in height of fluid in the second tank when the valve is open
A process can be represented by the first order equation
Determine the transfer function of this process in the s domain
If the input is a ramp change in u(t) = 4t, determine the value of y(t) when t=10 s