A hydraulic jump (Fig. 1) is a jet stream accompanied by the formation of an eddy zone, according to the current viewpoint. One of the main problems of a hydraulic calculation of such streams is to establish the distribution law of the mean velocity over the cross section of the flow, depth of water within the eddy zone and at its end, and the length of this zone. Investigations by many authors show that the flow within the hydraulic jump both in a horizontal and sloping channel corresponds to the model of flow in a plane turbulent wall jet [1] in which the vertical velocity distribution obeys the SchlichtIng relation [1,2] for the main part of the jet. The jet character of flow in hydraulic structures enables us to approach the solution of many problems in this area from positions of the theory of turbulent jets propagating in a bounded space. Here it is assumed that the cross sections are plane and the pressure of the fluid is distributed over the depth of the flow according to the law of hydrostatics.To determine the regularities of change of the average free surface in the entire eddy zone and length of the eddy of the free jump, the equations of motion of a fluid in the boundary layer following from the Reynolds system of equations of motion are used [3]. As a result of solving these equations, with the assumptions adopted above, the following relations associating the depth of the flow h with the longitudinal coordinate x coinciding with the bottom of the flow are obtained:for i ~ 0.12 ~a (h --hi)
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.
hi@scite.ai
10624 S. Eastern Ave., Ste. A-614
Henderson, NV 89052, USA
Copyright © 2024 scite LLC. All rights reserved.
Made with 💙 for researchers
Part of the Research Solutions Family.