Head Loss Calculations - Memphis

1 Civil Engineering Hydraulics Mechanics of Fluids Head loss Calculations Bernoulli and Pipe Flow The Bernoulli equation that we worked with was a bit simplistic in the way it looked at a fluid system All real systems that are in motion suffer from some type of loss due to friction It takes something to move over a rough surface Pipe Flow 2 2 Bernoulli and Pipe Flow Consider flow in a constant-diameter pipe Pipe Flow 3 Bernoulli and Pipe Flow If we look at the energy at points 1 and 2. Pipe Flow 4 p1 +v122+z1g=p2 +v222+z2g3 Bernoulli and Pipe Flow Since this system is horizontal, z1 = z2 so Pipe Flow 5 p1 +v122=p2 +v222 Bernoulli and Pipe Flow The pipe has a constant diameter and the flow is constant at both sections so the velocity at each point is the same.

Using the loss term we developed we can determine the pressure drop (in units of head) due to the friction in the pipe. 21 Example ! A 2-nominal pipe is inclined at an angle of 30° with the horizontal and conveys 0.001 m3/s of water uphill.

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