Assignment 3.pdf - UBC Mechanical Engineering
Assignment 3.pdf - UBC Mechanical Engineering
Assignment 3.pdf - UBC Mechanical Engineering
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
enters Tank 2, without a connecting pipe. The remaining characteristics of the tanks are the<br />
same as in Part (b).<br />
Sketch a linear graph for the new system. Systematically derive a state-space model for the<br />
modified system in terms of the same variables as in Part (b), using the new linear graph.<br />
(a)<br />
Inlet Valve<br />
Q i<br />
P 0<br />
Tank 1 Tank 2<br />
P 0<br />
H 1<br />
C 1<br />
Connecting<br />
Valve<br />
H 2<br />
C 2<br />
P 1<br />
Q p<br />
R p<br />
P 2<br />
R o<br />
Outlet Valve<br />
P o<br />
Q o<br />
(b)<br />
Q i<br />
P 0<br />
Tank 1<br />
H 1<br />
C 1<br />
Connecting<br />
Valve<br />
P 1<br />
Q t<br />
R t<br />
Tank 2<br />
P 0<br />
C 2<br />
H 2<br />
P<br />
2<br />
R o<br />
Outlet Valve<br />
P o<br />
Q o<br />
Figure P4.9<br />
(a) An interacting two-tank fluid system.<br />
(b) A non-interacting two-tank fluid system.