Power_Forumula_Derivations

Power_Forumula_Derivations - ' 4 1 f : 3 1 143 . 1 ' 4 1 =...

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Hydraulic 4202 Derivation of Power Formulas The derivation of all 6 power formulas for predicting the mean velocity m V in a pipe or channel start with Chezy’s formula: 2 1 2 1 ' 4 1 2 4 S R f g V m = ( 1 ) For Range I Laminar flow combine equation (1) with the following definition of ' f : m RV f 1 4 ' ν = ( 2 ) to obtain: S R g V m 2 4 2 = ( 3 ) For Range II Smooth Turbulent Blasius flow combine equation (1) with the following definition of ' 4 1 f : 8 1 ' 060 . 1 ' 4 1 e R f = ( 4 ) to obtain: 7 4 7 5 7 1 7 4 72 . 7 S R g V m = ( 5 ) For combine equation (1) with the following definition of ' 4 1 f : 12 1 ' 627 . 1 ' 4 1 e R f = ( 6 ) to obtain: 11 6 11 7 11 1 11 6 25 . 11 S R g V m = ( 7 )
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For Range III Rough Turbulent Lower Manning flow combine equation (1) with the following definition of
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Unformatted text preview: ' 4 1 f : 3 1 143 . 1 ' 4 1 = k R f ( 8 ) to obtain: 2 1 6 5 3 1 46 . 6 S R k g V m = ( 9 ) For Range III Rough Turbulent Manning flow combine equation (1) with the following definition of ' 4 1 f : 6 1 458 . 1 ' 4 1 = k R f ( 1 ) to obtain: 2 1 3 2 6 1 25 . 8 S R k g V m = ( 1 1 ) For Range III Rough Turbulent Upper Manning flow combine equation (1) with the following definition of ' 4 1 f : 12 1 330 . 2 ' 4 1 = k R f ( 1 ) to obtain: 2 1 12 7 12 1 18 . 13 S R k g V m = ( 1 1 )...
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Power_Forumula_Derivations - ' 4 1 f : 3 1 143 . 1 ' 4 1 =...

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