Water hammer with multipule diameters

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Water hammer issues arise from rapid valve closure downstream of water pumps, causing pressure transients. The discussion focuses on how to account for varying pipe diameters between the valve and the pump, particularly in relation to the hydraulic transients outlined in Perry's Chemical Engineers Handbook. It is questioned whether water hammer can affect the pump's suction while it is operational. The method of characteristics may be necessary for complex piping configurations, but the primary concern is the distance from the closing valve to the pump's upstream area. For conservative calculations, using the pipe size that yields the highest speed of sound is recommended.
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I am working a valve closure problem down stream of water pumps. The problem is with water hammer when the valves close too quickly. I am using Perrys chemical engineers hand book section 6-44 for the hydraulic transients section but need to know how to account for changing diameters of pipe between the valve that is closing and the pump. Also the plant is saying that the water hammer traveled to the suction of the pump, is this possible while the pump is running?

I have a textbook on the method of charachteristics, does this extremely complicated method become nessicary any time you introduce a convoluded piping configuration between the valve and the pressure source?

I guess technically all I care about is the distance from the closing valve to the area in question which would be the piping upstream of the pump and the upstream tank.
 
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These methods correct the speed of sound for elasticity of the pipe. These formulas are a function of pipe diameter and wall thickness. Therefore, for practical purposes, and to be conservative, I would use the line size that results in the largest calculated speed of sound.
 
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