Flow Dynamics in Connected Liquid Tanks – Multibody, Multi-Domain Physical Model in MapleSim – Maplesoft

Flow Dynamics in Connected Liquid Tanks

This model investigates the flow dynamics between three liquid tanks connected by two pipes (the first pipe connecting Tank 1 and 2, and the second pipe connecting Tank 2 and 3). The liquid level in each tank oscillates due to the flow inertia in each pipe. Flow inertia is damped by pipe fiction, and eventually the liquid height in each tank reaches equilibrium.

A Maple worksheet that models the system from a first-principle momentum balance is also attached (see Attached Files > Documents > OscillatingTanks.mw). In the Maple worksheet, differential equations that describe a momentum balance and the dynamic change in liquid height in each tank are solved numerically. The solution is then compared to the MapleSim results. The results of the MapleSim model and Maple worksheet agree.

This model includes a Maple worksheet for analysis
This model was created with MapleSim 2020.1

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Model: Flow Dynamics in Connected Liquid Tanks

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Model Images
  • img_model Model diagram showing the three connected tanks
  • img_results Simulation results showing the liquid height in each tank
  • img_comparison Comparison between MapleSim model and Maple worksheet results