In Number 1 it was assumed that the input and output flow rates could be independently varied. Consider a situation in which the outlet flow rate is a function of the height of liquid in the tank. Write the modelling equation for tank height assuming two different constitutive relationships: (i) F=ßh,or (ii) F=ß , where ß is known as a flow coefficient. You will often see this relationships expressed as F= h/Ror F=,where R is a flow resistance.
List the state variables, parameters, as well as the input and output variables. Give the necessary information to complete the quantitative solution to this problem. If the flow rate has units of liters/min ad the tank has a height of meters, find the units of the flow coefficients and flow resistances for (i) and (ii)