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Q, (t) I. Frictionless pipe R4 Figure 2: An experimental fluid network 3. Company X has developed a wonder pipe that has almost no friction and wants to test it using the fluid network shown in Fig. 2. The network has a source with prescribed flow rate Qs(t) feeding pipes 1 and 2. Pipe 1 is a normal pipe with friction, whose dynamics is described via inertance / and damping Ri. Pipe 2 is a wonder pipe that has negligible friction, so its dynamics is described only via inertance I2. Pipes 1 and 2 each feeds a tank with capacitance c1 and c2, respectively. A pressure regulatory valve with damping R3 is introduced between the two tanks. Also, a relief valve of damping R4 is connected to tank 2. Answer the following questions pe l is a normal pipe with friction, whose dvnamics descri (a) Draw the linear graph of the system. (b) Draw the normal tree of the system (c) Identify the dependent energy storage element, if there is any. Prove your conclusion by using a compatibility equation or a continuity equation (d) Identify the primary, secondary, and state variables according to the normal tree Q, (t) I. Frictionless pipe R4 Figure 2: An experimental fluid network 3. Company X has developed a wonder pipe that has almost no friction and wants to test it using the fluid network shown in Fig. 2. The network has a source with prescribed flow rate Qs(t) feeding pipes 1 and 2. Pipe 1 is a normal pipe with friction, whose dynamics is described via inertance / and damping Ri. Pipe 2 is a wonder pipe that has negligible friction, so its dynamics is described only via inertance I2. Pipes 1 and 2 each feeds a tank with capacitance c1 and c2, respectively. A pressure regulatory valve with damping R3 is introduced between the two tanks. Also, a relief valve of damping R4 is connected to tank 2. Answer the following questions pe l is a normal pipe with friction, whose dvnamics descri (a) Draw the linear graph of the system. (b) Draw the normal tree of the system (c) Identify the dependent energy storage element, if there is any. Prove your conclusion by using a compatibility equation or a continuity equation (d) Identify the primary, secondary, and state variables according to the normal tree