Front Condition for Gravity Currents in Channels of Nonrectangular Symmetric Cross-Section Shapes

2009 ◽  
Vol 131 (5) ◽  
Author(s):  
B. M. Marino ◽  
L. P. Thomas
Keyword(s):  
Froude Number ◽  
Cross Section ◽  
Laboratory Experiments ◽  
Rectangular Cross Section ◽  
Theoretical Models ◽  
Gravity Currents ◽  
Cross Section Shape ◽  
Section Shape ◽  
Front Condition ◽  
Upper Boundary

We study the variation of the Froude number at the front of gravity currents developed in uniform channels whose cross-section shape depends on a parameter usually used in many numerical and theoretical models. The thickness and front velocity of the dense currents running on the bottom are greater for all the cases studied, resulting in a Froude number greater than that corresponding to the rectangular cross-section shape. The light currents developing along the upper boundary show the opposite trend. It is found that the results are not related to the depth and width of the channel. The relationships obtained agree with the results of laboratory experiments in which open and closed channels of different cross-section shapes are used.

scholarly journals Designing for People’s Safety on Flooded Streets: Uncertainties and the Influence of the Cross-Section Shape, Roughness and Slopes on Hazard Criteria

Water ◽  
2021 ◽  
Vol 13 (15) ◽  
pp. 2119
Author(s):  
Luís Mesquita David ◽  
Rita Fernandes de Carvalho
Keyword(s):  
Cross Section ◽  
Overland Flow ◽  
Rectangular Cross Section ◽  
Safety Hazard ◽  
Cross Section Shape ◽  
Section Shape ◽  
Flood Flows ◽  
The Cross ◽  
Flooding Risk

Designing for exceedance events consists in designing a continuous route for overland flow to deal with flows exceeding the sewer system’s capacity and to mitigate flooding risk. A review is carried out here on flood safety/hazard criteria, which generally establish thresholds for the water depth and flood velocity, or a relationship between them. The effects of the cross-section shape, roughness and slope of streets in meeting the criteria are evaluated based on equations, graphical results and one case study. An expedited method for the verification of safety criteria based solely on flow is presented, saving efforts in detailing models and increasing confidence in the results from simplified models. The method is valid for 0.1 m2/s 0.5 m2/s. The results showed that a street with a 1.8% slope, 75 m1/3s−1 and a rectangular cross-section complies with the threshold 0.3 m2/s for twice the flow of a street with the same width but with a conventional cross-section shape. The flow will be four times greater for a 15% street slope. The results also highlighted that the flood flows can vary significantly along the streets depending on the sewers’ roughness and the flow transfers between the major and minor systems, such that the effort detailing a street’s cross-section must be balanced with all of the other sources of uncertainty.

scholarly journals SMEAR LAYER REDUCTION IN ROOT CANALS PREPARED WITH TRIANGULAR AND RECTANGULAR FILES AS EVALUATED BY SCANNING ELECTRON MICROSCOPY

2020 ◽  
pp. 27-30
Author(s):  
MEITA HERISA ◽  
NONI MAHARANI ◽  
RATNA MEIDYAWATI ◽  
DEWA AYU NYOMAN PUTRI ARTININGSIH ◽  
KAMIZAR NAZAR
Keyword(s):  
Cross Section ◽  
Root Canal ◽  
Rectangular Cross Section ◽  
Smear Layer ◽  
Canal Wall ◽  
Root Canals ◽  
Cross Section Shape ◽  
Section Shape ◽  
Significant Difference ◽  
Scanning Electron

Objective: Root canal preparation procedures can produce a smear layer when in contact with the root canal wall, which can result in treatmentfailure. As such, the cross-section shape of the file may influence the production of smear layer. In this study, we compared the smear layer productionat the apical third of the root canal wall between files with a triangular or rectangular cross-section shape.Methods: Thirty-two human premolar samples taken from mandibles were divided into two groups whose root canals were prepared using fileswith either a triangular (One Curve®, n=16) or rectangular (Hyflex EDM®, n=16) cross-section shape. After preparation, the root canals were irrigatedwith a combination of 2.5% NaOCl and 17% ethylenediaminetetraacetic acid (EDTA). The smear layers in the apical third of the root canal walls wereobserved using a scanning electron microscope and quantified according to the Foschi scoring system.Results: The Mann–Whitney U-test revealed a significant difference between root canal preparations using the different file shapes. The groupprepared with the triangular file produced lower smear layer scores compared with the group prepared with the rectangular file.Conclusion: Root canal preparations using files with different cross-section shapes (e.g., triangular and rectangular), followed by irrigation with 2.5%NaOCl and 17% EDTA, produced smear layers in the apical third area. However, root canal preparations using files with a triangular cross-sectionshape were shown to reduce smear layer production compared with files with a rectangular cross-section shape

scholarly journals Пространственные эффекты при взаимодействии ударной волны с продольным каналом газа пониженной плотности

2018 ◽  
Vol 44 (20) ◽  
pp. 5
Author(s):  
П.Ю. Георгиевский ◽  
В.А. Левин ◽  
О.Г. Сутырин
Keyword(s):  
Cross Section ◽  
Rectangular Cross Section ◽  
Rectangular Channel ◽  
Three Dimensional ◽  
Low Density ◽  
Three Dimensional Flow ◽  
Gas Channel ◽  
Cross Section Shape ◽  
Dimensional Interaction ◽  
Section Shape

AbstractThree-dimensional interaction of a shock with lateral low-density gas channel of round, elliptic or rectangular cross-section is numerically studied using Euler’s equations. The structure of formed shock wave precursor is described in detail. Internal shear layer instabilities in three-dimensional flow are shown to develop faster than in axisymmetric case. Moderate amplification of high-pressure jet cumulation effect is noted for elliptic and rectangular channel cases. Dependence of precursor growth rate on cross-section shape is studied. It is found that stretching of cross-section shape significantly increases the duration of linear precursor growth phase.

scholarly journals On the shape of cicada’s wing leading-edge cross section

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Rachel M. Starkweather ◽  
Svetlana V. Poroseva ◽  
David T. Hanson
Keyword(s):  
Cross Section ◽  
Insect Flight ◽  
Leading Edge ◽  
Flight Performance ◽  
Cross Section Shape ◽  
Section Shape ◽  
First Time

AbstractAn important role that the leading-edge cross-section shape plays in the wing flight performance is well known in aeronautics. However, little is known about the shape of the leading-edge cross section of an insect’s wing and its contribution to remarkable qualities of insect flight. In this paper, we reveal, in the first time, the shape of the leading-edge cross section of a cicada’s wing and analyze its variability along the wing. We also identify and quantify similarities in characteristic dimensions of this shape in the wings of three different cicada species.

Oxidation of Suspended Stacked Silicon Nanowire for Sub-10nm Cross-Section Shape Optimization

2019 ◽  
Vol 13 (1) ◽  
pp. 195-199 ◽  
Author(s):  
Alexandre Hubert ◽  
Jean-Philippe Colonna ◽  
Stéphane Bécu ◽  
Cécilia Dupré ◽  
Virginie Maffini-Alvaro ◽  
...  
Keyword(s):  
Shape Optimization ◽  
Cross Section ◽  
Silicon Nanowire ◽  
Cross Section Shape ◽  
Section Shape

Finite-size analysis and the influence of the cross-section shape of the granular column collapses

2021 ◽  
Author(s):  
Teng Man ◽  
Herbert Huppert ◽  
Ling Li ◽  
Sergio Galindo-Torres
Keyword(s):  
Size Effect ◽  
Cross Section ◽  
Finite Size ◽  
Size Analysis ◽  
Cross Section Shape ◽  
Section Shape ◽  
The Cross ◽  
Shape Influence ◽  
Deposition Morphology ◽  
Granular Column

<p>The collapse of granular columns, which sheds light on the kinematics, dynamics, and deposition morphology of mass-driven flows, is crucial for understanding complex flows in both natural and engineering systems, such as debris flows and landslides. However, our research shows that a strong size effect and cross-section shape influence exist in this test. Thus, it is essential to better understand these effects. In this study, we explore the influence of both relative column sizes and cross-section shapes on the run-out behavior of collapsed granular columns and analyze their influence on the deposition morphology with the discrete element method (DEM) with Voronoi-based spheropolyhedron particles. We link the size effect that occurs in granular column collapse problems to the finite-size scaling functions and investigate the characteristic correlation length associated with the granular column collapses. The collapsing behavior of granular columns with different cross-section shapes is also studied, and we find that particles tend to accumulate in the direction normal to the edge of the cross-section instead of the vertex of it. The differences in the run-out behavior in different directions when the cross-section is no longer a circle can also be explained by the finite-size analysis we have performed in this study. We believe that such a study is crucial for us to better understand how granular material flows, how it deposits, and how to consider the size effect in the rheology of granular flows.</p>

Numerical Analysis on Influence of Cross Section Shape on Earthquake Resistant Capability of Shallow-Buried Tunnel

2013 ◽  
Vol 405-408 ◽  
pp. 1292-1296 ◽  
Author(s):  
Hong Tao Xie
Keyword(s):  
Cross Section ◽  
Strong Motion ◽  
Seismic Load ◽  
Element Analysis ◽  
Seismic Region ◽  
Cross Section Shape ◽  
Section Shape ◽  
Earthquake Resistant ◽  
Internal Forces ◽  
Shallow Buried Tunnel

Taking portal segment in some shallow-buried tunnel in seismic region with strong motion as objects of study, the finite element analysis method was used to compare and assess the seismic behavior of the tunnel with different cross section shape. The results show that the linings displacement response of the tunnel with different cross section shape differs very minor under seismic load. Meanwhile there exists obvious difference in the lining internal forces of the tunnel with different cross section shape. Among all the tunnel with different section shape, the mechanics situation of the tunnel with triple arched sections is the best. While the section of the tunnel is closer to circular in shape, the mechanics situation of the lining can be effectively improved under seismic load.

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