Transcription of Head Loss Calculations - Memphis
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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.
Friction Losses ! Generalizing to any shape pipe we substitute the hydraulic diameter for the pipe diameter 23 Pipe Flow − 4τ w D h = dp dz Friction Losses ! At this point, we can introduce another dimensionless ratio, the friction factor, f 24 Pipe Flow − 4τ w D h = dp dz
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