Analysis of Hydraulic Jump Characteristics in U-Shaped Channel

Gandhi, Sumit

doi:10.22059/ceij.2024.374899.2046

Analysis of Hydraulic Jump Characteristics in U-Shaped Channel

Document Type : Technical Notes

Author

Sumit Gandhi

Professor, Department of Civil Engineering, Jaypee University of Engineering and Technology, Guna (MP), India.

10.22059/ceij.2024.374899.2046

Abstract

Typical supercritical flow characteristics like, sequent depth ratio, relative jump height, relative energy loss, efficiency of jump, relative prejump depth, relative postjump depth, relative length of the roller and jump in the U-shaped channel are experimentally studied. Based on the experimental findings, physical theories for the variance in these characteristics concerning the Froude number are presented. Empirical models are developed considering the influence of inflow Froude number varying between 4 and 20 and Reynolds number between 1,638,009 and 3,394,784. Some models were also validated and yielded satisfactory results with good R² values. For comparison and a deeper comprehension of hydraulic jump characteristics, computational multivariate statistical techniques like Principal Component Analysis (PCA) and Factor Analysis (FA) are applied. These techniques are used to identify patterns in an effort to explain the variation in a sizable set of closely related jump characteristics. Verifiers for the different principal components were analyzed, and verifactor VF1 (with 64 %) had strong positive loadings on the sequent depth ratio, the relative jump height, the relative energy loss, the relative length of the roller and jump, while VF2 (with 33%) had strong positive loadings on the relative prejump depth and the relative postjump depth and moderate positive loading on the efficiency of jump. These statistical methods proved to be valuable tools for identifying the key characteristics of a phenomenon and its relative significance.

Keywords

Super Critical Flow

U-Shaped Channel

Empirical Modeling

Principal Component Analysis

Factor Analysis

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