I have a known elevation profile spanning the length of my pipe (~600 meters). An elevation value is given for every five meters of pipe. At the beginning of the pipe, I have a known velocity (1.1 m/s) and a known water pressure (0.1 bar) at the inlet of the pipe. The roughness and dimensions of the pipe are known. Is there any way to predict the velocity of water at each of the elevation data points through the length of the pipe?