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    Phoniex University
    Oct-2001 - Nov-2016

Category > Management Posted 09 Feb 2018 My Price 9.00

incompressible fluid

(a) What are A-type elements and what are T-type elements?

Classify mechanical inertia, mechanical spring, fluid inertia and fluid capacitor into these two types. Explain a possible conflict that can arise due to this classification.

(b) A system that is used to pump an incompressible fluid from a reservoir into an open overhead tank is schematically shown in Figure P3.15. The tank has a uniform across section of area A.

The pump is considered a pressure source of pressure difference P(t). A valve of constant kv is placed near the pump in the long pipe line, which leads to the overhead tank. The valve equation is  in which Q is the volume flow rate of the fluid. The resistance to the fluid flow in the pipe may be modeled as  in which kp is a pipe flow constant. The effect of the accelerating fluid is represented by the linear equation I(dQ/dt) = P3 − P4 in which I denotes the fl uids inertance. Pressures P1, P2, P3, and P4 are as marked along the pipe length, in Figure P3.10. Also, P0 denotes the ambient pressure.

(i) Using Q and P40 as the state variables, the pump pressure P(t) as the input variable, and the fl uid level H in the tank as the output variable, obtain a complete (nonlinear) state-space model for the system. Note: P40 = P4 − P0. Density of the fl uid = ρ.

(ii) Linearize the state equations about an operating point given by flow rate  Determine the model matrices A, B, C, and D for the linear model.

(iii) What is the combined linear resistance of the valve and piping? What characteristic of a nonlinear system does this result illustrate?

 

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Maurice Tutor
(5)
Status NEW Posted 09 Feb 2018 09:02 PM My Price 9.00

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