• 제목/요약/키워드: Similarity of Velocity

검색결과 193건 처리시간 0.026초

비만관 상태의 원형관로에서 수위에 따른 속도분포의 상사성 (A Similarity of the Velocity Profiles According to Water Depth in Partially Filled Circular Pipe Flows)

  • 윤지인;김영배;성재용;이명호
    • 한국가시화정보학회지
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    • 제6권2호
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    • pp.28-32
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    • 2008
  • Contrary to the flow rate in fully filled pipe flows, the flow rate in partially filled pipe flows is significantly influenced by the variation of water level, channel slop, and so on. The major difference in these two flows results from the existence of a free surface. To make it clear, in the present study, a similarity of the velocity profile in a partially filled circular pipe has been investigated according to the water level. A particle image velocimetry (PIV) technique was applied to measure the three-dimensional velocity profiles. As a result, there is found a similarity of the velocity profile near the central region. However, near the side wall, the similarity is broken due to the interaction between the wall and the free surface.

동축 이중제한분류의 상사성에 대한 실험적 연구 (An Experimental Study on the Similarity of Confined Coaxial Jets)

  • 사용철;이태환;이준식
    • 대한기계학회논문집
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    • 제19권5호
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    • pp.1291-1299
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    • 1995
  • In confined coaxial jets, the flow-mixing characteristics depend on the initial conditions at the nozzle outlet such as velocity ratio and nozzle radius ratio. In this study, nozzle ratio(inner/outer) was 0.3. Longitudinal axial velocity, turbulent intensity and Reynolds shear stress were measured by CTA. Measurements were made from the duct inlet to the region where similarity solution could exist. This study investigated flow charicteristics according to the variation of similitude parameter which was derived from the theory of Craya-Cutet. The range of similarity region depends on the variation of the similitude patameter. The form factor obtained from the axial velocity profile in the similarity region was constant. The higher the similitude parameter, the wider the spread rate of the jets. Due to this fact, the similarity conditions developed more quickly and the region where the similarity holds became narrow. Present experimental data confirmed the validity of Craya-Curtet theory.

Slip-Weakening 모델의 확장과 단층 파열속도의 추정 (Extended Slip-Weakening Model and Inference of Rupture Velocity)

  • 최항;윤병익
    • 한국지진공학회논문집
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    • 제24권5호
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    • pp.219-232
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    • 2020
  • The slip-weakening model developed by Ohnaka and Yamashita is extended over the breakdown zone by equating the scaling relationships for the breakdown zone and the whole rupture area. For the extension, the study uses the relationship between rupture velocity and radiation efficiency, which was derived in the theory of linear elastic fracture mechanics, and the definition of fmax given in the specific barrier model proposed by Papageorgiou and Aki. The results clearly show that the extended scaling relationship is governed by the ratio of rupture velocity to S wave velocity, and the velocity ratio can be determined by the ratio of characteristic frequencies of a Fourier amplitude spectrum, which are corner frequency, fc, and source-controlled cut-off frequency, fmax, or vice versa. The derived relationship is tested by using the characteristic frequencies extracted from previous studies of more than 130 shallow crustal events (focal depth less than 25 km, MW 3.0~7.5) that occurred in Japan. Under the assumption of a dynamic similarity, the rupture velocity estimated from fmax/fc and the modified integral timescale give quite similar scale-dependence of the rupture area to that given by Kanamori and Anderson. Also, the results for large earthquakes show good agreement to the values from a kinematic inversion in previous studies. The test results also indicate the unavailability of the spectral self-similarity proposed by Aki because of the scale-dependent rupture velocity and the rupture velocity-dependent fmax/fc; however, the results do support the local similarity asserted by Ohnaka. It is also remarkable that the relationship between the rupture velocity and fmax/fc is quite similar to Kolmogorov's hypothesis on a similarity in the theory of isotropic turbulence.

SMAC법에 의한 2차원 자유분류의 수치해석 (NUMERICAL ANALYSIS FOR 2-D FREE JET FLOW BY SMAC SCHEME)

  • 정세훈;안영준;신병록
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2009년 춘계학술대회논문집
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    • pp.298-302
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    • 2009
  • Numerical analysis of two dimensional incompressible laminar free jet flow was carried out by using finite difference SMAC scheme. Flow characteristics of free jet flow such as jet width, similarity of jet velocity and hypothetical origin were investigated for different Reynolds numbers of Re=30 and 100. The reliability of predictions were confirmed by comparison with exact solution. Non-dimensional velocity distribution showed similarity of jet flow velocity after initial region. In the region of laminar flow, the location of hypothetical origin becomes more distant with Reynolds number.

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Similarity Relations of Resin Flow in Resin Transfer Molding Process

  • Um, Moon-Kwang;Byun, Joon-Hyung;Daniel, Isaac M.
    • Advanced Composite Materials
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    • 제18권2호
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    • pp.135-152
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    • 2009
  • Liquid molding processes, such as resin transfer molding, involve resin flow through a porous medium inside a mold cavity. Numerical analysis of resin flow and mold filling is a very useful means for optimization of the manufacturing process. However, the numerical analysis is quite time consuming and requires a great deal of effort, since a separate numerical calculation is needed for every set of material properties, part size and injection conditions. The efforts can be appreciably reduced if similarity solutions are used instead of repeated numerical calculations. In this study, the similarity relations for pressure, resin velocity and flow front propagation are proposed to correlate another desired case from the already obtained numerical result. In other words, the model gives a correlation of flow induced variables between two different cases. The model was verified by comparing results obtained by the similarity relation and by independent numerical simulation.

Strength prediction of steady laminar fluid with normal velocity distribution: A simplified truncation technique

  • Mohamed A. Khadimallah;Muzamal Hussain;Elimam Ali;Abdelouahed Tounsi
    • Advances in concrete construction
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    • 제15권5호
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    • pp.313-319
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    • 2023
  • In this paper, the analytic solution has been found by using truncation approach. With the help of suitable substitution, different physical parameters are yielded in their non-dimensional form. The governing boundary layer partial differential equations are reduced to a set of ordinary ones by using appropriate similarity transformations. The velocity profile across the domain have also been taken into account. The effect normal velocity profiles buoyancy parameter, slip parameter, shrinking parameter, Casson fluid parameter on the heat profile. It is found that the normal velocity profiles rise with the buoyancy parameter and for the slip parameter. It is observed that the normal velocity profile decreases with the increase of shrinking parameter. The reverse behiour is found for the Casson fluid parameter. The results are numerically computed, analyzed and discussed. For the efficiency of present model, the results are compared with earlier investigations.

상사해법을 이용한 쐐기형 물체 주위의 미세 극성유체 유동 특성에 관한 연구 (A Similarity Solution of the Characteristics of Micropolar Fluid Flow in the Vicinity of a Wedge)

  • 김윤제
    • 대한기계학회논문집B
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    • 제23권8호
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    • pp.969-977
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    • 1999
  • A similarity solution of a steady laminar flow of micropolar fluids past wedges has been studied. The similarity variables found by Falkner and Skan are employed to reduce the streamwise-dependence in the coupled nonlinear boundary layer equations. Numerical solutions of the equations are then obtained using the fourth-order Runge-Kutta method and the distribution of velocity, micro-rotation, shear and couple stress across the boundary layer are obtained. These results are compared with the corresponding flow problems for Newtonian fluid past wedges with various wedge angles. Numerical results show that, keeping ${\beta}$ constant, the skin friction coefficient is lower for a micropolar fluid, as compared to a Newtonian fluid. For the case of constant material parameter K, however, the velocity distribution for a micropolar fluid is higher than that of a Newtonian fluid.

동축공기 수소확산 화염의 자기상사성에 대한 연구 (A Study on Self-Similarity in Turbulent Hydrogen Jet Flames with Coaxial Air)

  • 김문기;김승한;윤영빈
    • 한국항공우주학회지
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    • 제30권5호
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    • pp.71-78
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    • 2002
  • 동축공기 수소확산 화염에서 세 가지 동축공기 조건과 화염의 유무에 따라 실험조건을 분류하고, 이에 대해 PIV를 이용하여 실험을 수행하였다. PIV를 통해 얻은 속도장을 이용하여 평균속도, 난류강도, Reynolds stress 등을 구하여 유동장을 분석하였다. 우선 단순제트에 대해 상사성을 살펴본 결과 이전의 다른 연구자의 실험결과와 일치하였다. 동축공기가 있는 경우 중심축 속도 감쇠는 $x^{-1}$에 비례하여 감소하는 것을 확인하였다. 축방향 길이를 유효밀도에 의해 정의된 유효 제트 지름으로 무차원화한 값으로 중심축 속도를 도시한 결과 하나의 선분에 떨어지는 것을 확인하였다. 평균속도 분포를 살펴보면 일정한 연료유량에 동축공기 유량을 증가시킨 경우 동축공기가 증가함에 따라 속도 분포의 형태가 바뀌게 되어 자기상사성이 유지되지 않는 것으로 보인다. 난류강도는 평균속도 분포의 경우보다 후류에서 자기상사성이 나타난다.

연기선단의 전파속도 모델에 관한 연구 (Modeling of the Velocity of the Ceiling Jet Front)

  • 김명배;한용식
    • 한국화재소방학회논문지
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    • 제15권2호
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    • pp.91-95
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    • 2001
  • 복도나 터널과 같이 특정한 방향성을 가지는 공간에서는 천장아래에 형성되는 연기선단의 성상해석이 학술적인 면에서나 실용적인 면에서도 매우 중요하다. 본 연구는 2차원 축대칭 천장제트 선단의 전파속도를 모델화하기 위하여 상사해석 및 차원해석을 수행하였다. 실험에서는 질소와 헬륨의 혼합가스를 원형 천장에 노즐로 분출시켜 화재로 인한 연기를 구현하였으며 속도측정을 위하여 레이저와 고속카메라를 이용한 가시화 기법이 사용되었다.

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축대칭 급확대관으로 분사되는 난류분사류의 초기유동 특성 (Initial Flow Characteristics of the Turbulent Circular Jet Discharging into the Sudden Expansion Pipe)

  • 김동식;한용운
    • 대한기계학회논문집
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    • 제18권12호
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    • pp.3335-3344
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    • 1994
  • The initial flow characteristics of the turbulent circular jet discharging into the sudden expansion pipes have been investigated by the hot wire anemometry. Evolutions of similarity, centerline behavior, jet boundary and typical turbulent quantities were looked into for the expansion ratios. The results show that the spreading rates of discharging jet seem not to be dependent of the expansion ratio and that the velocity profiles in the radial directions exhibit the similarity in the regions, 2-5d, 2-6d and 3-8d for the corresponding expansion rations of 2, 3 and 5, respectively. With the increase of expansion ratio the centerline velocity decays rather slowly. The anisotropic behaviors of the discharging jets into the sudden expansion pipe look stronger than those of the free jet.