The dynamic behavior of the liquid Level in each leg of a manometer tube, responding to a

Question:

The dynamic behavior of the liquid Level in each leg of a manometer tube, responding to a change in pressure, is given by

where h?(t) is the level of fluid measured with respect to the initial steady-state value, p?(t) is the pressure change, and R, L, q, p, and ? are constants.

(a) Rearrange [his equation into standard gain-time constant form and find expressions for K, ?, ? in terms of the physical constants.

(b) For what values of the physical constants does the manometer response oscillate?

(c) Would changing the manometer fluid so that p (density) is larger make its response more or less oscillatory? Repeat the analysis for an increase in ? (viscosity).