Estimating circular pipe flow velocity through a known elevation profile and known length with a known initial pressure and flow velocity

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I person a known elevation floor plan spanning nan magnitude of my tube (~600 meters). An elevation worth is fixed for each 5 meters of pipe. At nan opening of nan pipe, I person a known velocity (1.1 m/s) and a known h2o unit (0.1 bar) astatine nan inlet of nan pipe. The roughness and dimensions of nan tube are known. Is location immoderate measurement to foretell nan velocity of h2o astatine each of nan elevation information points done nan magnitude of nan pipe?

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