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Assignment 3.pdf - UBC Mechanical Engineering

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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.

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