An integral equation for the turbulent hydraulic jump is proposed. In the closure model adopted, the depth-averaged effective normal Reynolds stress is taken proportional to the product of constant eddy viscosity and depth-averaged axial velocity gradient, and the constant of proportionality that is ...
The characteristics considered were: the profiles of the approaching laminar and turbulent flow; variation of the free-surface velocity; boundary-layer development; applicability of the circular jump equation; energy dissipation, and the length, height, and location of the jump. The analysis is an ...
Standing and travelling waves in the shallow-water circular hydraulic jump A wave equation for a time-dependent perturbation about the steady shallow-water solution emulates the metric an acoustic white hole, even upon the incorpo... AK Ray,JK Bhattacharjee - 《Physics Letters A》 被引量: 29...
The properties of a standard hydraulic jump depend critically on a Froude numberFr defined as the ratio of the flow velocity to the gravity waves speed. In the case of a horizontalcircular jump, the question of the Froude number is not well documented. Our experimentsshow that Fr measured jus...
We present the results of a combined theoretical and experimental investigation of the influence of surface tension sigma on the laminar circular hydraulic jump. An expression is deduced for the magnitude of the radial curvature force per unit length along a circular jump, F_c {=} {-}sigma (...
We examine two-dimensional laminar flow of a liquid with circular hydraulic jump using boundary layer approach, but with the inclusion of a velocity profile approximated by a quadratic function. Our motivation is due to an earlier work of * on radial spread of a liquid over a horizontal plate...
To visualize the jet nature, it divides the area near-by into 3 regions: the shooting flow region (Froude > 1) where the liquid–gas interface nearly adheres to both thermal and hydrodynamic boundary layers, the hydraulic jump region (Froude = 1) where the liquid–gas interface gradually ...
The study aims to determine the effect of the channel's mild slope on the characteristics of the hydraulic jumps with circular channels. A theoretical study has been done and led to obtaining equations that can be used to get specific force for the hydraulic jump that occurred in circular ...
This technical paper presents the theoretical study of hydraulic jump in circular channel section. Presuming the jump as one-dimensional free shear layer with hydrostatic pressure distribution across it, specific force equation is obtained. Using this equation and eddy viscosity closure hypothesis, ...
Postulated model includes in the analysis dissipation effects present in the flow which lead to formation of the hydraulic jump. The model is derived from the analysis of Bernoulli equation. Some preliminary analysis on the formation of the type I and type II hydraulic jump, i.e., featuring ...