oscillating volumetric flow rate inlet: qin(t)

flow of the fluid leavibg the tank is governed by linear flow resistance

volumetric flow out: h/R

differential mass balance if the fluid in the tank

pA(dh/dt)=p(qin(t))-p(h/R)

R = 1/2

A = 4

qin(t)= A(sin(bt) + 1) * lnqin(t)

b is used to control the frenquency of the osillations

QUESTIONS:

Derive an equation for the height of the tank when empty at t =0

compute the indefinite integral used to calculate the average height of the fluid

derive the equations needed to find optimal heights