MODELLING CHANNEL ROUGHNESS COEF FICIENT USING DIMENSIONAL ANALYSIS
Keywords:
Roughness coefficient, manning's equation, dimensional analysis, Buckingham's theorem, dimensionless termsAbstract
A mathematical model for predicting the roughness coefficient of a channel was developed using
o establish
the relationship between the fluid, flow and channel geometric properties. This relationship was subjected
to a multiple regression analysis using the field data obtained from the channels, leading to the prediction
of the roughness coefficient. The predicted roughness coefficient was validated with Manning's
roughness equation and a high coefficient of correlation of 0.90 and a coefficient of determination, R2 of
0.814 between the predicted and Manning's coefficients were obtained. The analysis of variance
(ANOVA) showed that there was no significant difference between them at 5% level of significance.