Figure P5.62 illustrates two relief valves. The valve disk is designed to lift when the upstream pressure

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Figure P5.62 illustrates two relief valves. The valve disk is designed to lift when the upstream pressure in the vessel $\left(P_{1}\right)$ reaches the valve set pressure. Valve $\mathrm{A}$ has a disk that diverts the fluid leaving the valve by $90^{\circ}$ (i.e., to the horizontal direction), whereas the disk in valve B diverts the fluid to a direction that is $60^{\circ}$ downward from the horizontal. The diameter of the valve nozzle is 3 in., and the clearance between the end of the nozzle and the disk is $1 \mathrm{in}$., for both valves. If the fluid is water at $200^{\circ} \mathrm{F}, P_{1}=100 \mathrm{psig}$, and the discharge pressure is atmospheric, determine the force exerted on the disk for both cases A and B. The loss coefficient for the valve in both cases is 2.4 based on the velocity in the nozzle.

Figure P5.62

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A

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B

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