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Simulation of Complex Networks

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Abstract

The concept of a network has been introduced in Chap. 2 as consisting of

  • Branches, a branch being a contiguous series of components through which the working fluid flows,

  • Nodes, being points of connection of branches with each other,

  • Linking stubs, being points of connection to external interfacing components or atmosphere.

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Notes

  1. 1.

    Had we assumed incompressibility of the fluid in the node, we would have been forced to set \(\mathrm{d}\dot{{m}}_{j}/\mathrm{d}t = 0\) for each node. This would lead to an algebraic system for the solution of flows. This system can become singular for some perfectly normal equipment configurations and is therefore to be avoided. Alternatively, we could allow the volume of the node to vary, the sometimes called “rubber-hose” effect, and also to be avoided.

  2. 2.

    The term inertance is also found in the fields of acoustics and respiratory physiology.

  3. 3.

    These letters refer to the those used on the trend graphs to identify points in the procedure.

  4. 4.

    The slightly closer spacing of the individual traces in Fig. 17.12 is the result of the use of somewhat larger pipes in this case.

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    Peter O’Kelly

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O’Kelly, P. (2013). Simulation of Complex Networks. In: Computer Simulation of Thermal Plant Operations. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-4256-1_17

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