Analysis of Hydraulic Jump Characteristics In U-Shaped Channel

Articles in Press

Document Type : Technical Notes

Author

Jaypee University of Engineering and Technology, Guna (India)

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, variance in these characteristics with regard to Froude number are presented. Empirical models are developed considering influence of Froude number varying between 2 to 20 and Reynolds number between 1638009 to 3394784. Models were also validated and yielded satisfactory results with good R2 values. For comparison and deeper comprehension of hydraulic jump characteristics, computational multivariate statistical techniques like factor analysis (FA), principal component analysis (PCA), and cluster analysis (CA) 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 Y2/Y1, hj/Y1, EL/E1, Lr/Y1 and Lj/Y2, while VF2 (with 33 %) had strong positive loadings on Y1/E1 and Y2/E2 and moderate strong positive loadings on E2/E1. These statistical methods resulted as valuable tools for identifying the key characteristics in a phenomenon and its relative significance.

Keywords

Civil Engineering Infrastructures Journal

Articles in Press, Accepted Manuscript
Available Online from 03 December 2024

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History

  • Receive Date: 09 April 2024
  • Revise Date: 09 November 2024
  • Accept Date: 03 December 2024

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