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Explain Chezy Manning Equation
v = 1.49/n (R)0.67(S)0.5
R = hydraulic radius (ft) = Area/ wetted perimeter, R = D/4 for circular channels full and one-half full
S = typically is the geometric slope (channel bottom). Sometimes it is the slope of the energy grade line. Units for both are (ft/ft).
n = Manning's roughness coefficient based on the channel material. Values will be given or can be obtained in a table (dimensionless).
Using Laplace transfom, the following differential equation d y dy dt reduces to the algebraic equation of the form Resolve y(s) into partial fractions
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