CE154 - Lecture 6 Closed Conduit Hydraulics

# CE154 - Lecture 6 Closed Conduit Hydraulics - C dC lose...

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Fall 2009 CE154 1 Closed Conduit Hydraulics CE154 - Hydraulic Design Lecture 6

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Fall 2009 CE154 2 Hydraulics of Closed Conduit Flow Synonyms - closed conduit flow - pipe flow - pressurized flow Objectives – to introduce - basic concepts of closed conduit flow, - its hydraulics, and - design method
Fall 2009 CE154 3 Concepts Closed Conduit vs. Open Channel Closed Conduit Open Channel No freesurface Freewater surface Gravity or pump driven Gravity driven Cavitation & other sub- atmospheric-pressure problems Waves & other surface disturbances Reynolds Number Re FroudeNumber Fr

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Fall 2009 CE154 4 Concepts – Reynolds Number Reynolds Number (ratio of inertia force to viscous force) V = velocity (ft/sec) D = pipe diameter (ft) ρ = density of fluid (lbm/ft 3 ) μ = dynamic viscosity of fluid (lbm/ftsec or lbfsec/ft 2 ) ν = kinematic viscosity (ft 2 /sec) ν μ ρ VD VD = = Re
Fall 2009 CE154 5 Concepts – Froude Number Froud Number (ratio of inertia force to gravitational force ) V = velocity g = gravitational acceleration h = depth of water gh V Fr =

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Fall 2009 CE154 6 Concepts - Turbulence Turbulent vs. laminar flow
Fall 2009 CE154 7 Concepts – turbulent flow Turbulent flow - Critical Re (laminar to turbulent) in the order of 1000

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Fall 2009 CE154 8 Concepts – laminar flow Turbulent and Laminar flows
Fall 2009 CE154 9 Concepts – uniform & steady flow Uniform flow – constant characteristics with respect to space Steady flow – constant characteristics with respect to time. Often adopted when establishing pipe system design parameters (pressure & flow at certain locations). Consider unsteady (transient) phenomena to refine design (pipe pressure class and thickness)

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Fall 2009 CE154 10 Conservation of Mass 1 2 Control Volume
Fall 2009 CE154 11 Conservation of Mass Consider the control volume O I dt dS - =

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