Two open reservoirs with cross sectional areas A1, A2 and liquid depths H1 and H2 respectively are connected by a pipeline of length L and diameter D. The resulting liquid levels form a decaying oscillatory response to final steady state. Ramirez (1976) provides a detailed model derivation for this problem and shows how the problem is solved by analogue computation. The parameters are the same as those used by Ramirez.
The frictional force in the pipeline always acts in the direction opposite to that of the direction of flow and this is taken care of in the model.
Assumptions
The liquid is assumed to have constant density.
The fanning friction factor is assumed to be constant in this analysis.
References: J. Ingham, I.J. Dunn, E. Heinzle & J.E. Prenosil, Chemical Engineering Dynamics : Modelling with PC Simulation, VCH Publishers Inc., New York (USA).
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