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Reciprocating pump modeling for diagnosis

A mathematical model is suggested for diagnosis on a reciprocating pump. To the end, kinematic, thermodynamic and fluidic analyses are carried out for a simplified reciprocating pump model. The pressure inside the cylinder is expressed as a function of the rotation angle of a crank axle. The mathematical model consists of one cylinder with suction and discharge valves and an accumulator. The effect of valve leakage on the discharge angle is investigated. The discharge angle difference between normal state and leakage state increases with the leakage extent.