Ch08_3_HL - MAE130B Ch 8 (3) Major Loss Changzheng Huang...

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MAE130B – Ch 8 (3) Major Loss Changzheng Huang
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Ch 8 (3) Changzheng Huang 2 Head Losses in Pipe Flow 1. Major losses The head loss in the straight pipes. 2. Minor losses The head loss in various pipe components (valves, elbows, etc.). major minor LL L hh h = +
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Ch 8 (3) Changzheng Huang 3 V x D 1. Major losses 1 p 21 p pp = −∆ l ε , ρµ 22 11 2 2 2 2 L pV p V z zh gg αα γγ + += + ++ Energy equation, (horizontal or non-horizontal) For fully developed pipe flow, α 1= α 2, V1=V2, (laminar or turbulent) 12 major 1 2 L hz z ⎛⎞ =+ −+ ⎜⎟ ⎝⎠ The head loss can be expressed in terms of Darcy friction factor.
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Ch 8 (3) Changzheng Huang 4 V x D 1. Major losses 1 p 21 p pp = −∆ l ε , ρµ 12 major 1 2 L hz z γγ ⎛⎞ =+ −+ ⎜⎟ ⎝⎠ Darcy friction factor is defined as (laminar or turbulent, but only for horizontal pipe), 2 2 lV pf D ρ ∆= For non-horizontal pipe, the above expression is modified as, 2 sin 2 pl f D γθ ∆− = For any fully developed pipe flow, (laminar or turbulent, horizontal or non-horizontal)
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Ch 8 (3) Changzheng Huang 5 V x D 1. Major losses 1 p 21 p pp = −∆ l ε , ρµ 12 major 1 2 L hz z γγ ⎛⎞ =+ −+ ⎜⎟ ⎝⎠ 2 sin 2 lV pl f D ρ γθ ∆− = For any fully developed pipe flow, (laminar or turbulent, horizontal or non-horizontal) For any fully developed pipe flow, (laminar or turbulent, horizontal or non-horizontal) () ( ) 2 2 1 2 zz f D γ −− = 2 2 p V f Dg +− + =
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Ch 8 (3) Changzheng Huang 6 V x D 1. Major losses 1 p 21 p pp = −∆ l ε , ρµ 12 major 1 2 L hz z γγ ⎛⎞ =+ −+ ⎜⎟ ⎝⎠ For any fully developed pipe flow, (laminar or turbulent, horizontal or non-horizontal) 2 2 p pl V zz f Dg +− + = 2 major 2 L lV hf D g = This is called Darcy-Weisbach equation.
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Ch08_3_HL - MAE130B Ch 8 (3) Major Loss Changzheng Huang...

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