Question: Fluid flowing through an orifice can be represented by the nonlinear equation Q = K(P1 - P2)1/2, where the variables are shown in Figure P2.5

Fluid flowing through an orifice can be represented by the nonlinear equation
Q = K(P1 - P2)1/2,
where the variables are shown in Figure P2.5 and K is a constant [2].
(a) Determine a linear approximation for the fluid-flow equation,
(b) What happens to the approximation obtained in part (a) if the operating point is P1 - P2 = 0?

FIGURE P2.5 Flcw through an orifice

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