Bond Graphs for Modelling, Control and Fault Diagnosis of Engineering Systems by Wolfgang Borutzky

Author:Wolfgang Borutzky
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

Along with the N state variables for the wall temperatures of the segments there are an additional N state variables for the average fluid temperatures within the segments. Thus the IRS element has a total of 2 N + 1 state variables, the 1 being for the momentum or mass flow rate. The wall shear is also computed separately for each segment, but this requires no further state variables. Temperatures of the wall and the fluid are computed for both the segments and at the interfaces.

A person wants to take a quick shower; how long does he have to wait for the hot water emerging from a hot water heater 10 m away to reach him, at location Sec6, and of necessity also warm the walls of the copper pipe? A bond graph model for this system is shown in Fig. 8.17. The hot water emerges from the element Sec1. Cold water also emerges from Sec8 to mix with the hot water at pipe tee 0S5. The valves from the two sources, RSc4 and RSc7, are abruptly opened at time zero. The element IRS2 is the long pipe modeled with 20 segments, and CS3 is a small volume representing the mixing of new water with old and the slight compressibility of the water in the pipe, and satisfying causal requirements. This example is continued, with simulation results, in Sect. 8.4.4.

Fig. 8.17Bond graph for the hot water shower system

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.