• Title/Summary/Keyword: Froude 수

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Limit Velocity for Lateral Stable Bed in Natural Curved Channels (자연하천 만곡부의 횡방향 안정하상을 위한 한계속도)

  • Choe, Jong-In
    • Journal of Korea Water Resources Association
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    • v.35 no.2
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    • pp.195-201
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    • 2002
  • In this study, an equation is proposed to estimate the limit velocity for lateral stable bed in a curved channel stream. The stable bed on lateral direction is satisfied when there is no more deformation occurs on the transverse bed slope and non-scouring condition in a bend. A theoretical equation for limit velocity is derived using a transverse bed slope model. So, the limit velocity has its theoretical background in the equilibrium of two forces, lateral shear force at the bed due to longitudinal flow and the corresponding lateral bed shear force. To verify the equation, data from four natural river channels were used. There is good agreement between the calculated values using this equation and the measured values. The corrections in equation was found to be correlated with the averaged particle Froude number.

A Study on the Flow Characteristics of Debris Flow Using Small-scaled Laboratory Test (실내 모형실험을 통한 토석류 흐름 특성 연구)

  • Ryou, Kukhyun;Chang, Hyungjoon;Lee, Hojin
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.22 no.4
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    • pp.235-245
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    • 2021
  • Recently, the frequency of torrential rain is increasing due to climate change, which causes a large amount of debris flows. The purpose of this study was to understand the flow characteristics of debris flow according to the change in channel slope and volumetric sediment concentration and to analyze the effects of a berm on the flow characteristics of debris flow. The flow characteristics of debris flow, such as flow velocity, flow depth, Froude number, and flow resistance coefficients, were calculated using laboratory tests. The effect of a berm was analyzed by comparing the experimental results of a linear channel with those of a one-stepped channel. The results showed that the channel slope affected the flow velocity and flow depth, and the volumetric sediment concentration affected the flow velocity and flow depth, Froude number, and flow resistance coefficient. Moreover, as a berm was installed, the flow velocity and flow depth decreased by up to 26.1% and 71.2%, respectively. This means that installing a berm reduces the flow velocity, thereby reducing the mobility and kinetic energy. These results provide useful information to understand better the flow characteristics of debris flow and the effectiveness of a berm.

A Study on Destratification System Using Bubble Plume: Dimensional Analysis and Design Methodology (버블 플룸을 이용한 탈성층의 평가: 차원해석 및 설계방법론의 제시)

  • Kim, Sung-Hoon;Kim, Jae-Yun;Park, Heekyung
    • Journal of Korean Society of Water and Wastewater
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    • v.19 no.6
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    • pp.827-837
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    • 2005
  • In this study, we derived a new non-dimensional variable including bubble size and air diffusing area by Buckingham's theorem for making a practical correlation with experimental results. Firstly, we drew a relationship between a non-dimensional variable, $NH/u_s$, which has a form of Froude number and destratification efficiency with a simple theoretical consideration. Then we derived two non-dimensional variables by Buckingham's ${\pi}$-theorem and equating them with a form of $Fr_N$ for making single parameter to correlate overall destratification efficiency. As the result, the single parameter Be number shows a correlations with destratification efficiencies obtained from laboratory and pilot experiments. Also, for the practical applications, we conducted multiple regression analysis using Be and tank area to make predictive equations about destratification efficiency. The result also shows a successful correlations with destratification efficiency ($R^2$>0.9, p<0.001). Using this equation, we proposed a new design methodology with respect to bubble diffusing area.

An Experimental Study on Discharge Coefficient of Sideweir (횡월류 위어의 유량계수에 관한 실험적 연구)

  • Yeo, Chang Geon;Kim, Ji Ho;Lee, Ho Yul;Song, Jai Woo
    • Proceedings of the Korea Water Resources Association Conference
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    • 2004.05b
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    • pp.512-515
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    • 2004
  • 횡월류 위어는 수로에서 일정한 월류량을 얻기 위해서 또는 홍수시 하천에서 하류의 유량을 감소시킬 목적으로 설치되는 off-line 저류지에서의 구조물이다. 이러한 횡월류 위어의 단면 설계 시 계획 월류량 산정을 위하여 일반적으로 De marchi공식이 사용되며 De marchi공식은 유량계수($C_M$)와 월류수심의 함수이며, 유량 계수는 여러 연구자들이 실험을 통하여 여러 가지 유량계수 공식으로 제시되었다. 하지만 기존의 제시된 유량계수식($C_M$)들은 동일한 Froude수에 대한 유량계수($C_M$)값이 큰 편차를 보인다. 이는 개개의 유량계수식들이 서로 다른 실험조건에 의한 자료들의 회귀분석으로 산정된 식들이기 때문이다. 본 인구에서는 수리모형실험을 통하여 횡월류 위어의 월류량에 영향을 미치는 유량계수를 산정하고, 기존의 유량계수 공식들과 비교 분석하여 적합한 유량계수식을 제안하였다. 실험은 폭 0.3m의 직선개수로에서 위어의 폭과 유량을 변화시키며 실험을 반복 수행하였으며, 실험결과 유량계수는 Froude수에 반비례하는 경향을 나타냈다. 산정된 유량계수를 Borghei, Subramanya, Hager, Ranga Raju 공식들과 비교한 결과 Borghei 공식에 의한 계산치와 실험치가 $7.5\%$의 오차를 보이던 가장 근사한 값을 보였다.

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Derivation of Sediment Concentration for the Computation of Total Sediment Discharge (總流砂量의 算定을 위한 流砂濃度式의 導出)

  • Lee, Jong-Seok;Kim, Jin-Gyu;Cha, Yeong-Gi
    • Water for future
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    • v.29 no.1
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    • pp.181-190
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    • 1996
  • Quantitative computation of sediment discharge in alluvial channels is conducted by the determined method based on the incipient motion or the sediment transport concept. The derived formulation of sediment concentration in this study was developed in order to compute the total sediment discharge by a regression analysis method, one of the determined methods by the sediment transport concept. The used data set in derived formulation consists of the total 360 data including 135 and 225 measured data in natural channels and experimental channels, respectively. Also, the formulation by the multiple regression analysis was composed of independent bariables of flow depth, mean velocity, channel slope, Froude number and median diameter in bed materials.

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Calculation of 3-D Navier-Stokes Equations by an IAF Method (인수분해 음해법에 의한 3차원 Navier-Stokes 방정식의 계산)

  • Seung-Hyun Kwag
    • Journal of the Society of Naval Architects of Korea
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    • v.31 no.1
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    • pp.63-70
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    • 1994
  • The three-dimensional incompressible clavier-Stokes equations are solved to simulate the flow field around a Wigley model with free-surface. The IAF(Implicit Approximate Factorization) method is used to show a good success in reducing the computing time. The CPU time is almost an half of that if the IAF method were used. The present method adopts the local linearization and Euler implicit scheme without the pressure-gradient terms for the artificial viscosity. Calculations are carried out at the Reynolds number of $10^6$ and the Froude numbers are 0.25, 0.289 and 0.316. For the approximations of turbulence, the Baldwin-Lomax model is used. The resulting free-surface wave configurations and the velocity vectors are compared with those by the explicit method and experiments.

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Fundamental Studies for Ventilated Supercavitation Experiments in New High-speed Cavitation Tunnel (신조된 고속 캐비테이션 터널에서 환기 초공동 실험 수행을 위한 기초 연구)

  • Paik, Bu-Geun;Kim, Min-Jae;Jung, Young-Rae;Lee, Seung-Jae;Kim, Kyoung-Youl;Ahn, Jong-Woo;Seol, Han-Shin;Kim, Ki-Sup
    • Journal of the Society of Naval Architects of Korea
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    • v.55 no.4
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    • pp.330-340
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    • 2018
  • In the present works, the High-speed Cavitation Tunnel (HCT) has been designed and manufactured to have the large test section to conduct various supercavitation experiments. The large amount of air ventilated behind a cavitator produces lots of tiny bubbles, which prevent clear observation of supercavitation at the test section. To collect small bubbles effectively, a bubble collecting section of large volume is equipped upstream of the test section. HCT has the test section dimension of $0.3^H{\times}0.3^W{\times}3.0^L\;m^3$ and provides maximum flow speed of 20.4 m/s at the test section. The blockage and Froude effects on the ventilated supercavitation are investigated successfully at the test section. The basic studies such as the supercavitation evolution, drag measurements and cavity shape extraction with air flow rate are also carried out in HCT.

Variation of the Turning Circle by the Rudder Angle and the Ship's Speed-Mainly on the Training Ship KAYA- (타각과 선속에 따른 선회권의 변화-실습선 가야호-)

  • Kim, Min-Seok;Shin, Hyeon-Ok;Kng, Kyoung-Mi;Kim, Min-Seon
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.41 no.2
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    • pp.156-164
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    • 2005
  • The size of the ship's turning circle is influenced by various factors, such as block coefficient, underwater side shape, rudder area ratio, draft, trim and Froude's number. Most of them are already fixed on departure from a port. However, the ship's speed and the rudder angle are controllable factors which operations are able to change optionally during sailing. The DGPS measured the turning circles according to the ship's speed and the rudder angle. The maximum advances by slow and full ahead were 302m and 311m, and the maximum transfers were 460m and 452m, respectively. There occurs almost no difference in size of the turning circle by variation of the ship's speeds. When the rudder angles were changed to $10^{\circ}$, $20^{\circ}$ and $30^{\circ}$, the maximum advances were 447m, 271m and 202m, and then also the maximum transfers 657m, 426m and 285m, respectively. The diameter of the tuning circle was decreased exponentially when the rudder angle was increased. The maneuverability was better when the direction of turning and propulsion of propeller are in the opposite direction rather than in the same one togetherm. The distance of the maximum transfer was always bigger than that of the maximum advance.

A Numerical Analysis of Gravity and Free Surface Effects on a Two-Dimensional Supercavitating Flow (2차원 초공동 유동의 중력과 자유표면 효과에 대한 수치해석)

  • Kim, Hyoung-Tae;Lee, Hyun-Bae
    • Journal of the Society of Naval Architects of Korea
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    • v.51 no.5
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    • pp.435-449
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    • 2014
  • The effects of the gravity field and the free surface on the cavity shape and the drag are investigated through a numerical analysis for the steady supercavitating flow past a simple two-dimensional body underneath the free surface. The continuity and the RANS equations are numerically solved for an incompressible fluid using a $k-{\epsilon}$ turbulence model and a mixture fluid model has been applied for calculating the multiphase flow of air, water and vapor using the method of volume of fluid and the Schnerr-Sauer cavitation model. Numerical solutions have been obtained for the supercavitating flow about a two-dimensional $30^{\circ}$ wedge in wide range of depths of submergence and inflow velocities. The results are presented for the cavity shape, especially the length and the width, and the drag of the wedge in comparison with those of the case for the infinite fluid flow neglecting the gravity and the free surface. The influences of the gravity field and the free surface on the aforementioned quantities are discussed. The length and the width of the supercavity are reduced and the centerline of the cavity rises toward the free surface due to the effects of the gravity field and the free surface. The drag coefficient of the wedge, however, is about the same except for shallow depths of submergence. As the supercavitating wedge is approaching very close to the free surface, it is found the length and the width of a cavity are shorten even though the cavitation number is reduced. Also the present result suggests that, under the influence of the gravity field and the free surface, the length of the supercavity for a certain cavitation number varies and moreover is proportional to the inverse of the submergence depth Froude number.

Analysis of Flow Characteristics of the Improved-Pneumatic-Movable Weir through the Laboratory Experiments (실내실험을 통한 개량형 공압식 가동보의 월류흐름 특성 분석)

  • Lee, Kyung Su;Jang, Chang-Lae;Lee, Namjoo;Ahn, Sang Jin
    • Journal of Korea Water Resources Association
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    • v.47 no.11
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    • pp.1007-1015
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    • 2014
  • This study investigates the discharge coefficient of Improved-Pneumatic-Movable (IPM) weir through the weir, a kind of movable weirs, to estimate much more accurate rating curves using laboratory flume experiments. The discharge coefficient ($C_d$) is from 0.613 to 0.634 by the stand-up angle of the weir. The upstream Froude Number ($F_{r1}$), relative crest length(${\xi}$), Headwater Ratio ($H_1/W$), the Overflow depth ratio of weir crest ($y_c/y_1$) was changed by the upstream. And the downstream Froude number ($F_{r2}$), the Overflow depth ratio of weir crest and Downstream Water depth ($y_c/y_2$) was changed by the downstream. The ratio of Downstream and Up and Downstream water Depth (${\Delta}y/y_2$) was found to be changed by both of the up and downstream flow. They considered the major influence variables and derived the Discharge coefficient Formula at this study. The Discharge coefficient of the Improved-Pneumatic-Movable (IPM) weir was settled by the height of the Movable weir, that is to say, it was settled by the flow conditions of upstream approach flow head and physical data according to the standing angle.