Abstract
A multivariable regression model has been developed to predict the water surface profile for different compound channels with the non-prismatic flood plain. The nonlinear regression models are developed using relevant experimental data obtained from laboratory experiments. Three sets of laboratory experiments were carried out to exhibit the overbank flow in converging flood plains. The water surface profiles flow measurement was then related to various dimensionless parameters such as converging angle, width ratio and relative distance to develop the model. The results of calculations of water surface profile from the present model show good agreement with the observed data and data of other researchers. Several statistically based analyses were performed to verify the reliability of the developed multivariable regression model.
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Abbreviations
- B :
-
Width of compound channel
- b :
-
Width of the main channel
- h :
-
Height of the main channel
- H :
-
Bank full depth
- L :
-
Converging length
- S :
-
Bottom slope
- \({\alpha}\) :
-
Width ratio (B/b)
- \({\delta}\) :
-
Aspect ratio (b/h)
- \({\beta}\) :
-
Relative depth ((H − h)/H))
- X r :
-
Relative distance (x/L)
- x :
-
Distance between two consecutive sections
- \({\theta}\) :
-
Converging angle
- \({\Psi }\) :
-
Non-dimensional water surface profile (H/h)
- P i :
-
Predicted value
- O i :
-
Observed value
- MAE:
-
Mean absolute error
- MAPE:
-
Mean absolute percentage error
- MSE:
-
Mean-squared error
- RMSE:
-
Root-mean-squared error
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Naik, B., Khatua, K.K. Water Surface Profile Computation for Compound Channels with Narrow Flood Plains. Arab J Sci Eng 42, 941–955 (2017). https://doi.org/10.1007/s13369-016-2236-x
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DOI: https://doi.org/10.1007/s13369-016-2236-x