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 ...
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 ...
We carry out an analytical study of laminar circular hydraulic jumps, in generalized-Newtonian fluids obeying the two-parametric power-law model of Ostwald-de Waele. Under the boundary-layer approximation we obtained exact expressions determining the flow, an implicit relation for the jump radius is...
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 ...
hydraulic jumphyperbolic partial differential equationsRiemann solvershallow waterstabilityWe investigate the numerical artifact known as a carbuncle, in the solution of the shallow water equations. We propose a new Riemann solver that is based on a local measure of the entropy residual and aims to ...
A theoretical general equation, that allows to predict the dimensionless submergence depth as a function of five different parameters, was developed. An additional relationship to calculate the dissipation of energy, in the circular imperfect hydraulic jump, was obtained. Results of laboratory experiments...
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, ...
shallow-water circular hydraulic jumpwave equationperturbationstanding waveviscosityA wave equation for a time-dependent perturbation about the steady shallow-water solution emulates the metric an acoustic white hole, even upon the incorporation of nonlinearity in the lowest order. A standing wave in ...
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 ...