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Valve Capacity Index/Pressure Drop Mathematical Question

One questions to answer regarding capacity index of a valve. Question is below and can be answered within the attached word document.

Work needed to generate final answer must be shown.

Question to answer:

"A particular control valve has a pressure drop of 4.5 bar across the valve when it is connected in the fully open state to a supply pressure of 5 bar.

NOTE: 1 bar = 105 Pa

Determine the Capacity Index of the valve to obtain the Valve Authority if the fluid passing through the valve has a density of 2 kg/litre."

Skills: Algorithm, Mathematics, Matlab and Mathematica, Mechanical Engineering

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