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PGE 310 Pipe Flow Lecture

PGE 310 Pipe Flow Lecture - Flow in Pipes Flow of fluids in...

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Flow in Pipes Flow of fluids in pipes is described by the steady state mechanical energy balance. Steady state means that properties are not changing with time. So the balance can be written as 0 = + + + + W FR EOS PE KE θ out in
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Kinetic Energy Term (KE) The change in kinetic energy is the energy change brought about by a change in velocity between the inlet and the outlet. For turbulent flow this is expressed as Velocity is related to volumetric throughput or flux. For a liquid this is: 2 2 1 v KE = 2 2 4 2 d q d q A q v π π = = =
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Kinetic Energy Term (KE) For a liquid, the kinetic energy change is: If the pipe diameter does not change, - = - = 4 4 2 2 4 4 2 1 1 8 1 1 4 2 1 in out in out d d q d d q KE π π 0 = KE
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Potential Energy Term (PE) The change in potential energy is the change brought about by elevation change between point the inlet and the outlet. The flow may be inclined at an angle or horizontal. degrees 90 with flow al for vertic maximum a is 0 and degrees 0 , horizontal is flow the If on accelerati nal gravitatio of constant g length pipe sin = = = = = = θ θ θ PE PE L L g PE
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