• 제목/요약/키워드: Froude's number

검색결과 67건 처리시간 0.023초

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

  • 김성훈;김재윤;박희경
    • 상하수도학회지
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    • 제19권6호
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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.

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

  • 김민석;신현옥;강경미;김민선
    • 수산해양기술연구
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    • 제41권2호
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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.

시베리아 고기압 영향으로 영동지역 부근에서 발달한 구름대의 위치와 Froude 수와의 관계 (The Relationship of Froude Number and Developed Cloud Band Locations Near Yeongdong Region Under the Siberian High Pressure System)

  • 김유진;김만기;이재규
    • 대기
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    • 제29권3호
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    • pp.325-342
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    • 2019
  • Precipitation and no-precipitation events under the influence of the Siberian high pressure system in Yeondong region, were analysed and classified as four types [obvious precipitation event (OP) type, obvious no-precipitation event (ON) type, ambiguous precipitation event (AP) type and ambiguous no-precipitation event (AN) type], according to the easiness in determining whether to have precipitation or not in Yeongdong region, to help in improving the forecast skill. Concerning the synoptic pressure pattern, for OP type, the ridge of Siberian high extends from Lake Baikal toward Northeast China, and there is a northerly wind upstream of the northern mountain complex (located near the Korean-Chinese border). On the other hand, for ON type, the ridge of Siberian high extends southeastward from Lake Baikal, and there is a westerly wind upstream of the northern mountain complex. The pressure pattern of AP type was similar to the OP type and that of AN type was also similar to ON type. Thus it was difficult to differentiate AP type and OP type and AN type and ON type based on the synoptic pressure pattern only. The four types were determined by U (wind speed normal to the Taebaek mountains) and Froude number (FN). That is, for OP type, average FN and U at Yeongdong coast are ~2.0 and ${\sim}6m\;s^{-1}$, and those at Yeongseo region are 0.0 and $0.1m\;s^{-1}$, respectively. On the contrary, for ON type, average FN and U at Yeongdong coast are 0.0 and $0.2m\;s^{-1}$, and those at Yeongseo region are ~1.0 and ${\sim}4m\;s^{-1}$, respectively. For AP type, average FN and U at Yeongdong coast are ~1.0 and ${\sim}4m\;s^{-1}$, and those at Yeongseo region are 0.0 and $0.2m\;s^{-1}$, whereas for AN type, average FN and U at Yeongdong coast are 0.1 and $0.6m\;s^{-1}$ and those at Yeongseo region are ~1.0 and ${\sim}3m\;s^{-1}$, respectively. Based on the result, a schematic diagram for each type was suggested.

A Numerical Method for a High-Speed Ship with a Transom Stern

  • Kyoung Jo-Hyun;Bai Kwang-June
    • Journal of Ship and Ocean Technology
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    • 제8권3호
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    • pp.8-17
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    • 2004
  • A numerical method is developed for computing the free surface flows around a transom stern of a ship at a high Froude number. At high speed, the flow may be detached from the flat transom stern. In the limit of the high Froude number, the problem becomes a planning problem. In the present study, we make the finite-element computations for a transom stern flows around a wedge-shaped floating ship. The numerical method is based on the Hamilton's principle. The problem is formulated as an initial value problem with nonlinear free surface conditions. In the numerical procedures, the domain was discretized into a set of finite elements and the numerical quadrature was used for the functional equation. The time integrations of the nonlinear free surface condition are made iteratively at each time step. A set of large algebraic equations is solved by GMRES(Generalized Minimal RESidual, Saad and Schultz 1986) method which is proven very efficient. The computed results are compared with previous numerical results obtained by others.

배수갑문의 유량계수 결정에 대한 실험적 연구 (ExPerimental Study on the Determination of Discharge Coefficients in Tide Gates)

  • 권순국;나정우
    • 한국농공학회지
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    • 제28권1호
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    • pp.51-59
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    • 1986
  • Through the hydraulic model test, a more convenient and accurate method of deter- mining discharge coefficients in the sluice type of tide gates can be derived by the use of aubmergence ratio as a parameter. The results obtained are summarized as follows; 1. Discharge coefficients under submerged flow conditions can be obtained by the application of sutmergerice ratio (S) to the free flow equation of the broad-erested we r. 2. The critical submergence ratios (Scr) for the flat basin and the broad-crested types of sill have the same value of 0.8. 3. Under free flow conditions, the discharge coefficient (m) are 0.37 and 0. 35 for the flat basin and the broad-crested types of sill respectively. However, when submerged flow condition exists, the discharge coefficients for both types of sill is given by a regression equation of discharge coefficients (IL) on submergence ratios (8) expressed as; m 1.3- 1. 17S. 4. The relationships between S and Froude number (Fr), for the flat basin and the broad-crested types of sill are Fr=2. 79-2.495 and Fr2.5=5. 7-6.16S respectively. From the above relationships, it can be concluded that m can also be expressed in terms of the Froude number which is a very relevant hydraulic parameter of the open channel hydraulics.

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개수로 흐름의 3차원 전산해석을 위한 유효 벽면거칠기 산정 (Evaluation of Effective Wall Roughness for 3D Computational Analysis of Open Channel Flow)

  • 최준우;백운일;이상목;윤성범
    • 대한토목학회논문집
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    • 제28권6B호
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    • pp.627-634
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    • 2008
  • 개수로의 난류흐름을 VOF(Volume of Fluid)기법을 채용한 RANS(Reynolds averaged Navier-Stokes) 방정식 모형을 사용하여 수치모의할 때 벽면함수의 거칠기를 산정하기 위해 고려해야 하는 점들을 연구하였다. 거친 벽면상의 흐름을 위한 벽면함수의 거칠기 상수(roughness constant)는 관수로 흐름의 실험을 통하여 얻어진 값을 사용한다. 그러나 개수로 흐름에서는 이 거칠기 상수가 Froude 수에 따라 변화하므로 이를 고려할 수 있어야 하며, 개수로에서 광범위하게 사용되는 Manning 조도계수에 상응하는 벽면 거칠기 높이(roughness height)를 산정하여 사용할 수 있어야 있다. 본 연구에서는 모형에 입력되는 벽면함수의 거칠기 높이와 Manning 조도계수 사이의 관계를 분석하였다. 이를 바탕으로 수치모형의 특성이 고려되고 Manning 조도계수의 함수로 표현되는 유효 거칠기 높이 산정식을 제안하였다.

하천흐름 해석에서 단순화된 운동방정식을 사용한 유한차분모델의 신뢰성 있는 적용 범위 (Application Ranges of Finite Difference Models Using Simplified Momentum Equation in Channel Flow simulation)

  • 최계운;안경수;안상진
    • 물과 미래
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    • 제27권4호
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    • pp.123-133
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    • 1994
  • 하천 흐름해석에서 단순화된 운동방정식을 사용한 kinematic 모델과 diffusion 모델이 full dynamic 모델에 비하여 여러 장점을 지니고 있기 때문에 수치모의에 종종 사용된다. 본 논문에서는 kinematic 모델과 diffusion 모델의 적용범위에 대하여 보다 폭넓게 사용될 수 있는 적용한계를 하천의 수로경사 $S_{02}$, 무차원의 상류측 수심증가 수 Gw 및 Froude수 Fr등 3개의 주요한 인자를 기준으로 하여 연구하였다. 이 때 적용범위는 full dynamic 방정식의 시간 가속도항, 공간 가속도항, 압력항, 중력항 및 마찰항의 상대적 크기의 비교를 통하여 도출되었다. 실험모의중에 Courant수는 0.5로 한정되었으며, 하천의 하상경사는 0.00001부터 0.05까지 변하였다. 또한, 0.1, 0.5 및 0.9의 Froude 수가 사용되었다. 본 논문에서는 kinematic 모델의 적용범위는 Froude 수가 증가함에 따라 증가하는 것으로 나타났으나, diffusion 모델의 적용범위는 Froude 수가 증가함에 따라 감소하였다. 최종적으로 kinematic 모델과 diffusion 모델의 적용을 위한 지침으로 사용할 수 있는 9개의 그림이 제안되었으며 이 제안된 그림을 적절하게 활용할 때 하천이나 강에 흐름모의가 보다 효율적으로 이루어질 수 있을 것이다.

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Manning's Roughness Factor in Alluvial Channels

  • Jun, Byong-Ho
    • Korean Journal of Hydrosciences
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    • 제1권
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    • pp.49-60
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    • 1990
  • Manning's roughness factor to flow in sand-bed channels may be divided into the grain roughness factor nd the form roughness factor. The grain roughness factor may be dedermined by using Keulegan's formula. By using available experimental data, it was found there is a unique relationship between the form roughness and the hydraulic radius to sediment particle size ratio for a given value of the Froude number. The form roughness and the bed form may be determined by using this unique relationship. The technique for engineering applications of the results appears to be quite simple.

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몰수심도가 작은 고속 수중익 주위의 유동장에 대한 수치계산 (Numerical Study on Flow Field around High Speed Hydrofoil with Shallow Submergence)

  • 이승준;이정무
    • 대한조선학회논문집
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    • 제41권5호
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    • pp.8-13
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    • 2004
  • In order to better understand the characteristics of the flow field around the submerged hydrofoil of finite span with high speed and shallow submergence. a numerical code which can solve the flow around a fast lifting body under the free surface was developed and used to obtain various interesting features of the flow. The code was based on the panel method of Hess( 1972), and the free surface condition was linearized to conform with the assumption of the high Froude number. It is shown that the effect of the change of submerged depth. angle of attack and aspect ratio upon the sectional lift coefficient is rather significant for the case of the chosen example wing, which has the rectangular planform. Since Lee(2002)'s theoretical results were for the wing of elliptical planform, the direct comparison of the two results was not possible. It seems that more computational results are in need to compare the theoretical and the numerical prediction in detail.