Velocity Coefficient in a Open Channel Flow with Gradual Transition

Abstract

In this present research work, a detailed study conducted on the transition channel and the variation of specific energy in open channel flow. An empirical model equation formulated for the kinetic energy correction coefficients and moment correction coefficients between the different dependent and independent flow parameters, this model equation applicable only for the gradual expansion simple channel under the subcritical flow. The data set of expansion channel collected from previous researchers and on the basis of data sets the calculated value of the kinetic energy and momentum correction coefficients for expansion channels. Their expansion ratio is considered such as 1:1, 2:3, 1:3 & 1:6 for the observation and the calculated value. From that analysis, the kinetic energy and momentum correction coefficients varied from 1.1041 to 1.3948 and 1.039 to 1.082. The kinetic energy and momentum correction coefficients are depending on some influencing parameters such as diverging angle, width ratio, aspect ratio, cross-sectional ratio, Reynold’s number and Froude’s number and the energy head loss. On consideration of these parameters developed a mathematical model which predict kinetic energy and momentum correction coefficients. This mathematical model also validates by previous investigators. And also calculate the error analysis models are Mean Absolute Error (MAE), Mean Absolute Percentage Error (MAPE), Mean Squared Error (MSE), Root Mean Squared Error (RMSE). For the kinetic energy correction coefficients error analysis shows MAE(-0.0419), MAPE(6.4367), MSE(0.0335) and RMSE(0.1016) and MAE(0.0208), MAPE(4.8748), MSE(0.0129) and RMSE(0.1139) for momentum correction coefficents .