Ch08_1_PF - MAE130B Ch 08 (1) Laminar Flow Changzheng Huang...

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MAE130B – Ch 08 (1) Laminar Flow Changzheng Huang
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Ch 08 (1) Changzheng Huang 2 Viscous Flow in Pipes 1. General characteristics of pipe flow 2. Fully developed laminar pipe flow
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Ch 08 (1) Changzheng Huang 3 1. Characteristics of Pipe Flow 1.1 Real world pipe flow examples 1.2 Pressure driven or gravity driven flow 1.3 Laminar or turbulent flow 1.4 Entrance region and fully developed flow
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Ch 08 (1) Changzheng Huang 4 1.1 Real world pipe flow examples • Blood flow inside our human body. • Air flow in air-conditioning system of our buildings. • Water flow in water pipes to deliver tap water. • Fluid flow in hydraulic pipes in vehicles and machines. • Crude oil flow along hundred of miles long pipelines.
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Ch 08 (1) Changzheng Huang 5 1.2 Pressure driven or gravity driven flow V p p + ∆ p V V W W p p + ∆ p p p Pressure driven flow Gravity driven flow Pressure and gravity driven flow horizontal downhill uphill
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Ch 08 (1) Changzheng Huang 6 1.3 Laminar or turbulent flow Q A x A u t laminar transitional turbulent u = Vi uvw = ++ jk Laminar flow: momentum transfer at molecular level, microscopic, well-defined streaklines. Turbulent flow: momentum transfer through eddies, macroscopic, random flow fluctuations. Re VD ρ µ = D 0 2100 4000 Laminar Transitional Turbulent
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Ch 08 (1) Changzheng Huang 7 1.4 Entrance region and fully developed flow Tank Entrance region Fully developed flow e l x r () 1/6 45 Laminar flow: 0.06Re Re 10, =0.6D Turbulent flow: 4.4 Re 10 Re 10 , 20 <30D e e e e l l D l Dl D == =< < < Inviscid core Boundary layer ( ) uu r p px = =
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Ch 08 (1) Changzheng Huang 8 2. Fully developed laminar flow 2.1 From Newton’s second law F=ma 2.2 From Navier-Stokes equations 2.3 From dimensional analysis 2.4 Energy consideration: head loss
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Ch 08 (1)
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This note was uploaded on 03/10/2009 for the course MAE 130B taught by Professor Huang during the Spring '09 term at UC Irvine.

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Ch08_1_PF - MAE130B Ch 08 (1) Laminar Flow Changzheng Huang...

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