SIMoES, Andre Luiz Andrade. Escoamentos turbulentos em canais com o fundo em degraus: resultados experimentais, solucoes numericas e proposicoes teoricas. 2012. Tese (Doutorado em Hidraulica e Saneamento) - Escola de Engenharia de Sao Carlos, Universidade de Sao Paulo, Sao Carlos, 2012.Biblioteca Digital de Teses e Dissertacoes da USPDownload Andre Luiz Andrade Simoes, Harry Edmar Schulz, Rodrigo de Melo PortoResumo: Escoamentos turbulentos em superficie livre favorecem as trocas gasosas atraves da interface ar-agua. Neste trabalho sao apresentadas solucoes numericas tridimensionais de escoamentos sobre aeradores em forma de cascata, com degraus ao longo de sua extensao. E empregado o modelo nao homogeneo para simulacao do escoamento multifasico de ar e agua e o modelo k-e para a turbulencia. Uma formulacao para a previsao do padrao de escoamento tambem foi desenvolvida com a adaptacao de dados experimentais a forma do canal estudado. As previsoes decorrentes desta metodologia apresentam concordancia com os resultados calculados numericamente, que mostram o padrao de quedas sucessivas com espalhamento da agua ao longo do canal com perimetro crescente. DOI: 10.13140/RG.2.1.3938.3768 Conference: 28o Congresso Brasileiro de Engenharia Sanitaria e Ambiental, At Rio de Janeiro, Volume: 1 Harry Edmar Schulz, Juliana Dorn Nobrega, Andre Luiz Andrade Simoes,Henry Schulz and Rodrigo de Melo PortoHarry Edmar Schulz, Juliana Dorn Nobrega, Andre Luiz Andrade Simoes, Henry Schulz and Rodrigo de Melo Porto (2015). Details of Hydraulic Jumps for Design Criteria of Hydraulic Structures, Hydrodynamics - Concepts and Experiments, Prof. Harry Schulz (Ed.), ISBN: 978-953-51-2034-6, InTech, DOI: 10.5772/58963. Available from: http://www.intechopen.com/books/hydrodynamics-concepts- and-experiments/details-of-hydraulic-jumps-for-design-criteria-of-hydraulic- structuresDetails of Hydraulic Jumps for Design Criteria of Hydraulic Structures Segolene Mejean, Thierry Faug, and Itai EinavSteady free-surface flows can produce sudden changes in height and velocity, namelystanding jumps, which demarcate supercritical from subcritical flows. Standing jumpshave traditionally been observed and studied experimentally with water in orderto mimic various hydraulic configurations, for instance in the vicinity of energydissipators. More recently, some studies have emerged that investigate standing jumpsformed in flows of dry granular materials, which are relevant to the design ofprotection dams against avalanches. In the present paper, we present a new explicitrelation for the prediction of the height of standing jumps. We demonstrate therobustness of the new relation proposed by revisiting and cross-comparing a greatnumber of data sets on standing jumps formed in water flows on horizontal andinclined smooth beds, in water flows on horizontal rough beds, and in flows ofdry granular materials down smooth inclines. Our study reveals the limits of thetraditional one-to-one relation between the sequent depth ratio of the jump and theFroude number of the incoming supercritical flow, namely the Belanger equation.The latter is a RankineHugoniot relation which does not take into account thegravitational and frictional forces acting within the jump volume, over the jumplength, as well as the possible density change across the jump when the incomingfluid is compressible. The newly proposed relation, which is exact for grains anda reasonable approximation for water, can solve all of these issues. However, thisrelation can predict the height of the standing jump only if another length scale,namely the length of the jump, is known. We conclude our study by discussingempirical but simple closure