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An oil company wishes to construct a pressurised pipeline of 300 mm diameter to convey freshwater,...

An oil company wishes to construct a pressurised pipeline of 300 mm diameter to convey freshwater, of bulk modulus 2.10x109 N/m2 from a desalination plant to a refinery at a rate of 350 l/s and with a pipe period of 4 seconds. Calculate the corresponding theoretical surge pressure induced within the pipeline by the complete closure of an on-line valve (located at the end of the pipe) in 8 seconds. The valve generates non-uniform retardation of type R = At0.65. The steel pipe has 5 mm thick walls, a Young’s modulus of 2.1x1011 N/m2 and Poisson’s ratio of 0.28. Calculate the pressure transients at the valve in the pipeline, for the first 12 seconds after the valve starts to close. Assume that pipe is longitudinally restrained.

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