A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
Empirical Formula for Sequent Depth Ratio (SDR) in Smooth Sloping Rectangular Channels
Hydraulic jump is an example of rapidly varied flow (RVF) in which a supercritical flow approaches subcritical flow resulting in the dissipation of energy of the incoming supercritical flow in the form of heat, subsequently protecting the destruction of downstream reach. This property of the hydraulic jump is used to dissipate excess unwanted energy in the design of different types of hydraulic structures such as spillways, straight glacis sloping falls and stilling basins. Despite the requirement of sequent depth in the design of hydraulic jump, entirely formed on the smooth sloping rectangular channel, the exact and easy method to predetermine the value of sequent depth is still undetermined. Therefore, this paper presents an empirical formula to predict the sequent depth ratio (SDR), i.e., y2/y1, if the initial Froude number (F1) and the channel bed slope (So) are known in a smooth sloping rectangular channel. The formula is based on the experimental data of Chen (Determining the location of hydraulic jump by model test and hec-2 flow routing, 1995). The formula is simple and better in comparison with the other available methods. The formula has been compared with the available experimental plots, empirical and semi-empirical formulae through a case study (solved numerical problem), which predicts better results. The formula works well for bed slopes ranging from zero to 0.15. The formula will be very useful in the design of a stilling basin where a hydraulic jump is supposed to be entirely formed on a smooth sloping rectangular channel.
Empirical Formula for Sequent Depth Ratio (SDR) in Smooth Sloping Rectangular Channels
Hydraulic jump is an example of rapidly varied flow (RVF) in which a supercritical flow approaches subcritical flow resulting in the dissipation of energy of the incoming supercritical flow in the form of heat, subsequently protecting the destruction of downstream reach. This property of the hydraulic jump is used to dissipate excess unwanted energy in the design of different types of hydraulic structures such as spillways, straight glacis sloping falls and stilling basins. Despite the requirement of sequent depth in the design of hydraulic jump, entirely formed on the smooth sloping rectangular channel, the exact and easy method to predetermine the value of sequent depth is still undetermined. Therefore, this paper presents an empirical formula to predict the sequent depth ratio (SDR), i.e., y2/y1, if the initial Froude number (F1) and the channel bed slope (So) are known in a smooth sloping rectangular channel. The formula is based on the experimental data of Chen (Determining the location of hydraulic jump by model test and hec-2 flow routing, 1995). The formula is simple and better in comparison with the other available methods. The formula has been compared with the available experimental plots, empirical and semi-empirical formulae through a case study (solved numerical problem), which predicts better results. The formula works well for bed slopes ranging from zero to 0.15. The formula will be very useful in the design of a stilling basin where a hydraulic jump is supposed to be entirely formed on a smooth sloping rectangular channel.
Empirical Formula for Sequent Depth Ratio (SDR) in Smooth Sloping Rectangular Channels
Lecture Notes in Civil Engineering
Timbadiya, P. V. (editor) / Patel, P. L. (editor) / Singh, Vijay P. (editor) / Barman, Bandita (editor) / Mohsin, Mohd (author)
International Conference on Hydraulics, Water Resources and Coastal Engineering ; 2021
2023-06-27
15 pages
Article/Chapter (Book)
Electronic Resource
English
Hydraulic Jumps in Sloping Channels: Sequent Depth Ratio
| Online Contents | 2006
Mathematical expression for the B-Jump sequent depth ratio on sloping bed
| Springer Verlag | 2014
Mathematical expression for the B-Jump sequent depth ratio on sloping bed
| Online Contents | 2015
Sequent Depth Ratio of a B-Jump
| Online Contents | 2011
Sequent Depth Ratio of a B-Jump
| ASCE | 2011