Modares Mechanical Engineering

Modares Mechanical Engineering

Proposal of Experimental Relations for Determining the Number of Sides of Polygonal Hydraulic Jumps

Authors
Ehsan Soukhtanlou 1
Ali Reza Teymourtash
Mohammad Reza Mahpeykar 2
1 Department of Mechanical Engineering, Ferdowsi University of Mashhad, Mashhad,Iran
2 Professor- FUM
Abstract
The circular hydraulic jump usually forms when a liquid jet impinges on a horizontal flat plate. However, under certain conditions of fluid viscosity, volume flow rate and obstacle height downstream of the jump, the flow changes from super-critical to sub-critical and hydraulic jump changes shape from circular to polygonal. Despite the phenomenon of the hydraulic polygon jump has observed about two decades, the experimental relationship has not been presented to estimate the number of sides of hydraulic polygon jumps. The size and number of sides of a polygonal hydraulic jump depend on various factors such as fluid volume flow rate, jet diameter, fluid height downstream of the jump, and fluid physical properties; in other words, they depend on the dimensionless numbers of Reynolds, Weber, and Bond. Hence, in this study Taguchi analysis, as a Design of Experiment method, was used to investigate the effect of volume flow rate, jet diameter and obstacle height downstream of the jump on the number of the sides of a polygon hydraulic jump and Linear and nonlinear relationships was proposed for estimating the number of the sides of a polygonal hydraulic jump in terms of the above mentioned parameters.
Keywords
Polygonal hydraulic jump
Design of Experiments by Taguchi method
least square method
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Modares Mechanical Engineering
Volume 18, Issue 1
March 2018
Pages 273-280