When a manometer is subjected to a time dependent pressure differential, the level of liquid in the legs changes with time according to the equation:
(L/g)*(d^2h/dt^2)+(8uL/ygr^2)*(dh/dt)+h = dp/yg
where L = length of liquid in tube, h is the height differential, dp is the pressure differential, r is the radius of the manometer tube, u is the viscosity and y is the density of the manometer fluid.
Determine and plot the response of the manometer height h using both analytical and numerical solutions to a step change
dp/yg = [0 then t<=0] or[50 then t>0]