Errors of kinematic-wave and diffusion-wave approximations for time-independent flows in infiltrating channels |
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| Authors: | V P Singh V Aravamuthan E S Joseph |
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| Institution: | (1) Department of Civil and Environmental Engineering, Louisiana State University, 70803-6405 Baton Rouge, LA, USA;(2) Department of Civil Engineering, Southern University, 70813 Baton Rouge, LA, USA |
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| Abstract: | Time-independent (or steady-state) cases of channel flow were treated and errors of the kinematic-wave and diffusion-wave approximations derived for finite flow at the upstream end. The diffusion-wave approximation was found to be in excellent agreement with the dynamic wave representation, with error magnitudes of 0.2% for values of KF
0
2
 7.5, where K is the kinematic-wave number and f
0 is the Froude number. Even for small values of KF
0
2
(e.g., KF
0
2
=0.75), the errors were typically in the range of 1.3 to 3.7%. The approximate analytical diffusion-wave solution performed poorly with error magnitudes greater than 30% even for large values of KF
0
2
. The kinematic-wave approximation was also found to be in good agreement with the dynamic-wave representation with errors of about 1.2% for KF
0
2
=7.5 and varying from 15 to 44% for KF
0
2
=0.75. |
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| Keywords: | |
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