Worked example using the Method of Referred Derivatives liquid flow network

8 Worked example using the Method of Referred Derivatives liquid flow network 

The network is assumed to form part of a larger model, to which it is interfaced through accumulators at nodes 3 and S. The pressures, p , are assumed to depend on conditions both within the network and external to it, obeying the differential equations  

The main model pressures, p, pf , and the external pressure setpoints, pi pe., undergo step changes at time 0, as summarized in Table 18.2. 

TaMa 18.2 Step changes in main model pressures and external pressure setpoints 

Simulate the transient behaviour of the system for 100 seconds and determine the intermediate pressures, P2, P4, and the network flows, W 2, W23, W24. W45 and W4 at each time instant. 

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