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Hydraulic Efficiency of Grate and Curb Inlets - Urban Drainage and ...

Hydraulic Efficiency of Grate and Curb Inlets - Urban Drainage and ...

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<strong>Efficiency</strong> for the Type R curb inlet presented in Section 5.1 was calculated from<br />

Equation 2-11 <strong>and</strong> Equation 2-13. Calculated efficiency from these two equations can be<br />

improved by updating the coefficient <strong>and</strong> exponents <strong>of</strong> Equation 2-13. By doing this, the<br />

original form <strong>of</strong> the equation is preserved. Equation 5-3 illustrates the general form <strong>of</strong> this<br />

equation, where the coefficient N <strong>and</strong> the exponents a, b, <strong>and</strong> c will be determined by regression<br />

<strong>of</strong> the test data:<br />

L<br />

T<br />

= NQ<br />

a<br />

S<br />

b<br />

L<br />

⎛ 1<br />

⎜<br />

⎝ nS<br />

e<br />

⎞<br />

⎟<br />

⎠<br />

c<br />

Equation 5-3<br />

where:<br />

L T = curb opening length required to capture 100% <strong>of</strong> gutter flow;<br />

Q = gutter flow (cfs);<br />

S L = longitudinal street slope (ft/ft);<br />

S e = equivalent street cross slope (ft/ft);<br />

n = Manning’s roughness coefficient;<br />

N = regression coefficient; <strong>and</strong><br />

a,b,c = regression exponents.<br />

The improved results <strong>of</strong> using Equation 5-3 to determine efficiency are presented in<br />

Figure 5-7. A tabular test-by-test comparison is presented in Appendix B for the Type R curb<br />

inlet. The final form <strong>of</strong> this equation is presented as Equation 5-4:<br />

0.51 0.058<br />

⎛ 1 ⎞<br />

LT<br />

= 0.38Q SL<br />

⎜ ⎟<br />

⎝nSe<br />

⎠<br />

0.46<br />

Equation 5-4<br />

60

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