• Water Engineering Research
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• 제3권1호
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• pp.9-22
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• 2002

In general, two dimensionless numbers are used in predicting the front propagation rate of density currents: the densimetric Froude number and the dimensionless front velocity. The former expresses the front speed in terms of the characteristic length and reduced gravitational acceleration. Previous papers report that the range of this dimensionless number is wide. The other is the dimensionless front velocity, which is a function of the buoyancy flux per unit width. This paper presents the state of the art review of the dimensionless numbers for the front propagation rate of density currents. Values of the densimetric Froude number are found to be consistent when the proper characteristic length is used for normalization. Then, the densimetric Froude number and the dimensionless front velocity are compared by using the experimental data of density currents over a horizontal surface.

• 상하수도학회지
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• 제23권6호
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• pp.833-842
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• 2009

A series of laboratory experiments has been performed to investigate the behaviour of interfacial layer of saltwater wedge in estuary. Experimental conditions have been established according to densimetric Froude number, which is a dimensionless number comparing inertia force with buoyancy due to the density difference. To observe the behaviour of saltwater wedge, conductivity meter has been used to detect salinity. Time averaged and temporal variation of observed properties have been analyzed to determine and investigate the interfacial layer. The location and profile of interfacial layers have shown the dependency on densimetric Froude number. The thickness of interfacial layer has been also dependent on the variation of densimetric Froude number.

• Journal of Advanced Marine Engineering and Technology
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• 제38권8호
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• pp.981-994
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• 2014

Density currents formed by buoyancy discharges from rivers are numerically studied using non-dimensional two layer model including Coriolis acceleration, bottom stress, interfacial friction. Some typical numbers such as Froude number, densimetric Froude number and Kelvin number are obtained and some characteristic scales are defined as a result of non-dimensionalization of the governing equations. Besides the Coriolis effect, the configurations of bottom topography, bottom friction coefficient and interfacial friction are found to significantly affect the propagation of the warm water plume. Frontal position can fastly propagate in the case of large density difference between the two layers and small interfacial friction. Left side boundary current is easily formed under the small interfacial friction. With large Kelvin number, both right and left side boundary currents are formed. Wave-like disturbances and eddies are easily formed under the high Froude number.

• 상하수도학회지
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• 제34권1호
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• pp.45-52
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• 2020

Even though sewers have been conventionally designed to prevent from sediment deposition using a specified minimum velocity or shear stress at a particular depth of flow or with a particular frequency of occurrence, it was appreciated that these methods do not consider the characteristics and concentration of the sediment and the specific hydraulic conditions of the sewer with sediment. In this study, a densimetric Froude number formula was suggested considering particle diameter and volumetric concentration of the sediment as well as flow depth and flowrate, based on several domestic field inspections, which was compared with other formulas proposed by previous investigators. When the sediment concentration was not considered, the calibration coefficient of 0.125-1.5 to the densimetric Froude numbers of this study was needed to obtain the similar ones with previous investigators'. For the densimetric Froude number formula obtained with consideration of sediment concentration, the exponent value of term C_v was almost the same as that of previous results and that of d₅₀/R_h was similar for F_r < 2.2.

• 수산해양기술연구
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• 제26권1호
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• pp.26-33
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• 1990

연안해역에 저밀도 Froude수의 액체를 방류할 때 인근해역에 미치는 영향을 저감하기 위해서, 중력분류의 혼합\ulcorner희석특성을 알아보았다. 연직방향방류시 밀도 Froude수가 작은 것이 분류의 퍼짐폭이 증대하여 방류수의 혼합\ulcorner희석이 활발해진다. 수평방향방류시 밀도 Froude수가 클수록 혼합\ulcorner희석효과가 증대된다. 수평방향방류가 연직수평방류보다 혼합희석효과가 뛰어나다. 수평방향방류시 다공관으로 방류하는 것이 단공관의 경우 보다 효과적이다. 이는 방류수를 분산시켜 방류함으로서 주위수와 접하는 표면적이 증대되기 때문이다.

• 대한토목학회논문집
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• 제7권1호
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• pp.11-22
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• 1987

흐름수역(水域)에서 연직상향으로 방류되는 평면부력(平面浮力)?의 거동이 연속방정식(連續方程式), 운동량방정식(運動量方程式) 및 추적물수송식(追跡物輸送式)의 기본방정식을 수치적(數値的)으로 풀음으로서 해석(解析)된다. 난류확산(亂流擴散)에는 Prandtl의 혼합거리이론(混合距離理論)을 도입한 난류수송모형(亂流輸送模型)이 이용된다. 수치해과정(數値解過程)은 기본방정식을 유함수(流凾數)(stream function)식(式)과 골도수송(滑度輸送)(vorticity transport)식을(式) 이용하여 변환(變換)한 후, ?방류속도(放流速度), ?방류구폭(放流口幅) 등(等)으로 표현되는 변수(變數)와 흐름을 지배(支配)하는 무차원매개변수(無次元媒介變數)를 도입하여 무차원화(無次元化)하고 successive under-relaxation을 이용하여 Gauss-Seidal 반복법(反復法)으로 해를(解) 구(求)하는 것이다. 수치실험(數値實驗)은 방류(放流)Froude수(數)가 4~32, 방류속도(放流速度)와 가로흐름속도와의 비로(比) 정의되는 속도비가 8~15 의 범위의 흐름영역(領域)에서 수행되었다. 부력(浮力)?으로 인한 주변(周邊)흐름수역(水域)의 속도변화(速度變化), 온도상승(溫度上昇)범위, 흐름상태 및 골도(滑度)가 조사되었으며, ?의 경로에 대한 속도비와 방류밀도Froude 수의 영향이 또한 조사되었다. ?중심선의 속도, 온도변화, 국부밀도(局部密度)Froude 수(數)의 변화가 계산되며 퍼짐율(spreading rate)과 확산비(擴散比)(dispersion ratio)가 방류밀도(放流密度)Froude 수, 국부밀도(局部密度)Froude 수(數) 및 속도비(速度比)의 항(項)으로 해석되었다. 또한 속도와 온도분포를 상사(相似)(similarity)로 나타낼 수 있음이 밝혀졌으며, Gaussian 분포(分布)를 이용한 적분형해석(積分型解析)(integral type analysis)이 가능한 것으로 사료된다.

• 한국해안해양공학회지
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• 제2권1호
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• pp.1-10
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• 1990

밀도류에 대한 하구에서의 수리조건을 수리모형실험을 통하여 조사하였다. 정상염수쐐기가 존재하는 하구에서의 유하방향의 계면현상은 하구에서의 밀도 Froude수가 커짐에 따라 그 기울기가 증대하였다. 적층 두께는 하도내에서는 거의 일정하였으나, 하도내를 벗어나면서 급격히 증대하였으며, Overall Richardson number가 커짐에 따라 감소하였다. 하구에서의 밀도 Froude 수는 반드시 1.0은 아니며, 상층수량에 따라 변화를 나타내었다. 하구에서의 수위는 상대밀도차가 커짐에 따라 증가하는 경향을 보였다. 섬진강 하구에서의 현상관측결과, 하천수와 외양수와의 사이에 강한 밀도전선이 형성되어 있었다.

• 대한토목학회논문집
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• 제6권2호
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• pp.93-101
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• 1986

정지수역(靜止水域)에서 연직상향(鉛直上向)으로 방류(放流)되는 평면부력(平面浮力)?의 거동을 연속방정식(連續方程式), 운동량수송식(運動量輸送式) 및 추적물(追跡物) 수송식(輸送式)에 의하여 수치적(數値的)으로 해석한다. 이 해석은 유함수(流凾數)와 과수송식(過輸送式)을 도입하고 Prandtl 난류모형(亂流模型)을 이용하였다. 방류밀도(放流密度) Froude 수(數)가 4~32인인 부력(浮力)?의 발달된 흐름영역(領域)에서 구한 ?중심선의 속도(速度)와 온도변화(溫度變化), ?주변수역(周邊水域)의 온도분포(溫度分布)와 흐름양상은 기존자료와 잘 맞음을 확인할 수 있다. 적분형해석(積分型解析)에 필요한 퍼짐율과 확산비(擴散比)가 방류밀도(放流密度) Froude 수(數)와 방류구(放流口)로부터의 거리의 함수로 유도된다.

• 상하수도학회지
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• 제22권3호
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• pp.389-396
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• 2008

The hybrid model can be used to predict the initial near field mixing and the far field transport of the buoyant jets, which are discharged from the submerged wastewater ocean outfall. In the near field, the jet integral model can be used for single port diffusers while the ${\sigma}$ transformed particle tracking model was used in the far field. In this study, the experimental study was performed to verify the developed hybrid model in the previous research. The developed hybrid model properly predict the surface and vertical concentration distribution of the single buoyant jets with various effluent and ambient conditions. The hybrid model can also simulate the surface concentration distribution of the rosette diffuser except for the parallel diffuser with the higher densimetric Froude number due to the assumption that dynamic effects of the effluent plumes are negligible in the far field. The application of the hybrid model to rosette diffusers can predict the concentration near the diffuser more accurately when the line-plume approximation is used.

• Water Engineering Research
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• 제3권2호
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• pp.93-111
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• 2002

In this paper, mixing characteristics and dilution of the merging buoyant discharges from array of multiple jets has been extensively studied in the hydraulic model experiments. New equations for dilution, which include the merging effects correctly, were derived. Experiments were constructed in a 20-m long, 4.9-m wide and 0.6-m deep flume, and the model diffuser was manufactured to indicate the typical characteristics of the existing ocean wastewater outfall in South Korea. Buoyant discharge from the diffuser was reproduced using heated water. Water temperature was measured using CC-Type thermocouple sensors, which were connected to a 40-channel data logger. Experimental results show that merging between ports in a particular riser is dependent upon the discharge densimetric Froude number, whereas merging between two ports which are facing each other at 90$\circ$ at the adjacent risers is dependent upon the discharge densimetric Froude number and distance from the port and port spacing. Centerline dilution increase with distance from the port outlet until two plumes has merged. However, after merging occurs, increase of the centerline dilution almost stops. Further distance from the position where merging occurs, centerline dilution increases again.