• Title/Summary/Keyword: Reynolds 방정식

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Performance Analysis of Secondary Gas Injection for a Conical Rocket Nozzle TVC(II) (2차 가스분사에 의한 원추형 로켓노즐 추력벡터제어 성능해석 (II))

  • Song, Bong-Ha;Ko, Hyun;Yoon, Woong-Sup;Lee, Sang-Kil
    • Journal of the Korean Society of Propulsion Engineers
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    • v.5 no.1
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    • pp.18-25
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    • 2001
  • The results of systematic numerical experiments of secondary gas injection thrust vector control are presented. The effects of secondary injection system such as injection location and nozzle divergent cone angle onto the overall performance parameters such as thrust ratio, specific impulse ratio and axial thrust augmentation, are investigated. Complex nozzle exhaust flows induced by the secondary jet penetration is numerically analyzed by solving unsteady three-dimensional Reynolds-averaged Navier-Stokes equations with Baldwin-Lomax turbulence model for closure. Numerical simulations compared with the experiments of secondary air injection into the rocket nozzle of $9.6^{\cire}$ divergent half angle showed good agreement. The results obtained in terms of overall performance parameters showed that locating the secondary injection orifice further downstream of primary nozzle ensures the prevention of occurrence of reflected shock wave, therefore is suitable for efficient and stable thrust vectoring over a wide range of use.

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A Study on Heat Transfer Enhancement for a Shear-Thinning Fluid in Triangular Ducts (삼각형 단면 덕트 내의 Shear-Thinning 유체에 대한 열전달 촉진에 관한 연구)

  • Lee, Dong-Ryul
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.12 no.9
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    • pp.3808-3814
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    • 2011
  • The prediction of heat transfer and pressure drops in the exchanger passages is a clue to the problem of heat exchanger design. In order to make such predictions for non-Newtonian fluids, it is necessary to know the relation between the viscous properties of the fluid and the wall shear rate in the duct. This study deals with the limits of validity of the power law equation. The useful methodology of the present research involves a consideration of a more general equation which has power law and Newtonian behavior as asymptotes. It isconcluded that use of the power law equation outside of its applicability range can lead to serious errors inpredicting the heat transfer and pressure drops. The present computational results of the friction factors times Reynolds number for shear-thinning fluid flows in a triangular duct are compared with previous published results, showing agreement with 0.13 % in Newtonian region and 2.85 % in power law region. These shear-thinning fluid results also showed the 12% increase of convective heat transfer enhancement compared with Newtonian heat transfer.

Numerical Modeling of Wave-Type Flow on a Stepped Weir (계산형 위어에서의 파형흐름 수치모의)

  • Paik, Joongcheol;Kang, Joon Gu;Lee, Nam-Ju
    • Proceedings of the Korea Water Resources Association Conference
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    • 2016.05a
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    • pp.65-65
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    • 2016
  • Various types of flow conditions are developed in the region just downstream of hydraulic structures such as weir and drop structures. One of distinct flow conditions occurred downstream of drop structures is the wave type flow with undular hydraulic jump formation. We present three-dimensional numerical simulations of a wave type flow formed downstream of a stepped weir which were experimentally investigated by Kang et al. (2010). The turbulent flow over the weir structure is modeling using the unsteady Reynolds-averaged Navier-Stokes (URANS) simulation employing the Spalart-Allmaras one equation model and the detached eddy simulation. Numerical modeling and the performance of turbulence modeling approaches are evaluated by comparing with the experimental measurements in terms of the free surface variation, the shapes and sizes of undular wave, roller near at free surface, recirculation zone near the channel bottom downstream of the structures, and streamwise velocity profiles at selected longitudinal locations.

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Interpretation of Ammonia Absorption Behavior in Water Turbulent Flow (물 난류에서의 암모니아 흡수 거동 해석)

  • Lee, Sang-Ryong;Park, Jin-Won
    • Journal of the Korea Organic Resources Recycling Association
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    • v.27 no.3
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    • pp.75-80
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    • 2019
  • The article is devoted to the interpretation of ammonia, one of the fine dust precursors, absorption behavior in water turbulent flow. The water flow was considered as a turbulent flow with Reynolds number more than $10^4$, because ammonia gas penetration depth was deeper at turbulent flow compared to laminar flow. For the interpretation, the dimensionless mass transfer governing-equation and the constant physical-properties at room temperature were used. The diffusivity of ammonia in water and the kinematic viscosity of water were $2{\times}10^{-9}m^2/s$ and $1{\times}10^{-6}m^2/s$, respectively. The concentration distribution of ammonia in water was estimated with respect to the position from the point where the water started to be exposed to ammonia. The quantitative distribution as a function of the mixing length was also acquired. The quantitative interpretation may provide the insight how much the turbulent flow was more efficient to remove ammonia rather than the laminar flow.

Numerical simulation of submerged jump and washed-out jump using the k-𝜔 SST model (k-𝜔 SST 모형을 이용한 수중도수와 잠긴흐름의 수치모의)

  • Choi, Seongwook;Choi, Sung-Uk
    • Journal of Korea Water Resources Association
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    • v.54 no.11
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    • pp.1011-1019
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    • 2021
  • This study presents numerical simulations of submerged jump and washed-out jump resulted from the flow over the embankment type weir. Unsteady Reynolds Averaged Navier-Stokes (URANS) equations are solved with the k-𝜔 SST turbulence model. Validations are carried out using the experimental results in the literature, revealing that computed roller shape, free surface, and mean velocity are in good agreement with measured data. The volume fractions of water of the submerged jump and washed-out jump are compared, and the characteristics of the two flows from the double-averaged volume fractions of water are presented. The condition under which the transition occurs from the submerged jump to washed-out jump is presented by the relation between the relative embankment length and submergence factor via numerical simulations by changing the weir length, discharge, and tailwater depth.

Numerical simulation of flow characteristics and pollutant transport at river confluence (하천 합류부의 흐름특성 및 오염물의 혼합거동 모의)

  • Yun, Se Hun;Seo, Il Won
    • Proceedings of the Korea Water Resources Association Conference
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    • 2022.05a
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    • pp.91-91
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    • 2022
  • 하천 합류부에서 수체의 흐름은 매우 역동적으로 변화하며 합류부의 복잡한 3차원 흐름과 난류 구조는 2차류(secondary currents)의 강도변화, 전단층(shear layer)의 뒤틀림 그리고 재순환구역(recirculation zone)의 발생 등 합류부에서의 독특한 특징을 형성한다. 이러한 특징들의 변화는 수체의 흐름구조 뿐만 아니라 하천으로 유입된 오염물의 거동에도 영향을 준다. 기존의 합류부 연구들은 주로 본류와 지류의 합류각이나 유량비에 차이를 두어 합류부의 특징 변화를 모의하였다. 하지만 실제 자연하천에서 홍수방지를 위한 수심확보, 건축자재의 골재수집 등 다양한 목적으로 수행되는 본류의 준설작업으로 인해 발생하는 본류와 지류의 하상면 단차 또한 합류부의 특성에 영향을 미치는 주요한 인자 중 하나이다. 단차가 커짐에 따라 증가하는 지류수체의 낙차는 이차류의 강화를 야기하며 이는 합류부에서의 유속구조를 변화시켜 흐름을 가속시키거나 지체시키며 오염물의 혼합에 영향을 미친다. 본 연구에서는 3차원 수치모의를 통해 90도로 합류되는 수로에서의 흐름구조와 오염물의 혼합에 단차비와 유량비가 미치는 영향을 모의하였다. 유동장 해석을 위해 3차원 RANS (Reynolds-averaged Navier-Stoke) 방정식을 사용하였으며 난류해석은 k-𝜔 SST 모델을 이용하였다. 본류의 경우 11.4m의 수로 연장을 갖고, 하폭은 0.3m이며 수심은 단차의 크기에 따라 변화한다. 지류의 경우는 수로연장 1m, 하폭 및 수로깊이는 0.1m이다. 수치결과의 검증을 위해 이주하(2013)이 수행한 실내 합류수로의 실험결과를 이용하였다. 모의결과를 통해 파악한 합류부의 흐름특성을 이용하여 적절한 2차원 분산계수를 산정한다. 자연하천에서 오염물의 혼합거동을 효과적으로 모의하기 위해 수심 평균된 2차원 이송-분산모형을 이용하는데 이때 적절한 분산계수의 산정이 필수적이다. 본 연구에서는 합류 후 흐름방향에 따라 분산특성이 상이한 구간을 구분하여 분산계수를 산정하였으며 이를 통해 오염물의 거동을 정확하게 모의하였다.

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Modeling Paddlewheel-Driven Circulation in a Culture Pond (축제식 양식장에서 수차에 의한 순환 모델링)

  • KANG Yun Ho
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.34 no.6
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    • pp.643-651
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    • 2001
  • Paddlewheel-driven circulation in a culture pond has been simulated based on the depth integrated 2 dimensional hydrodynamic model. Acceleration by paddlewheel is expressed as shaft force divided by water mass discharged by paddlewheel blades. The model has been calibrated and applied to culture ponds as following steps:- i) The model predicted velocities at every 10 m along longitudinal direction from the paddlewheel. The model was calibrated comparing the results with the measured values at mass correction factor $\alpha$ and dimensionless eddy viscosity constant $\gamma$, respectively, in a range $15\~20$ and 6. ii) Wind shear stress was simulated under conditions of direction $0^{\circ}C,\;90^{\circ}C\;and\;180^{\circ}C$ and speed 0.0, 2.5, 5.0 and 7.5 m/s. Change rate of current speed was <$1\%$ at wind in parallel or opposite direction to the paddlewheel-driven jet flow, while $4\%$ at orthogonal angle. iii) The model was then applied to 2 culture ponds located at the Western coast of Korea. The measured and predicted currents for the ponds were compared using the regression analysis. Analysis of flow direction and speed showed correlation coefficients 0.8928 and 0.6782 in pond A, 0.8539 and 0.7071 in pond B, respectively. Hence, the model is concluded to accurately predict circulation driven by paddlewheel such that it can be a useful tool to provide pond management strategy relating to paddlewheel operation and water quality.

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The Effect of Skewness of Nonlinear Waves on the Transmission Rate through a Porous Wave Breaker (파형의 왜도가 투과성 방파제 투과율에 미치는 영향)

  • Cho, Yong Jun;Kang, Yoon Koo
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.29 no.6
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    • pp.369-381
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    • 2017
  • It has been presumed that highly nonlinear skewed waves frequently observed in a surf zone could significantly influence the transmission behaviour via a porous wave breaker due to its larger inertia force than its nonlinear counterparts of zero skewness [Cnoidal waves]. In this study, in order to confirm this perception, a numerical simulation has been implemented for 6 waves the skewness of that range from 1.02 to 1.032. A numerical simulation are based on the Tool Box called as the ihFoam that has its roots on the OpenFoam. Skewed waves are guided by the shoal of 1:30 slope, and the flow in the porous media are analyzed by adding the additional damping term into the RANS (Reynolds Averaged Navier-Stokes equation). Numerical results show that the highly nonlinear skewed waves are of higher transmitted ratio than its counterparts due to its stronger inertia force. In this study, in order to see whether or not the damping at the porous structure has an effect on the wave celerity, we also derived the dispersive relationships of Nonlinear Shallow Water Eq. [NSW] with damping at the porous structure being accounted. The newly derived dispersive relationships shows that the phase lag between the damping friction and the free surface elevation due to waves significantly influence the wave celerity.

Air Fluid Analysis between Porous PE-Plate and Glass in Air-Floating FPD Conveyor System (공기부상 FPD 이송장치에서 다공질판과 글래스 사이의 공기유동 해석)

  • Lho, Tae-Jung;Shon, Tae-Young
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.9 no.4
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    • pp.878-885
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    • 2008
  • The FPDs(Flat Panel Displays) such as LCD(Liquid Crystal Display) and PDP(Plasma Display Panel) and OLED(Organic Light Emitting Diode), recently, have been substituted for CRT(Cathode Ray Tube) displays because they have a convex surface, small volume, light weight and lower electric power consumption. The productivity of FPDs is greatly dependent on the area of thin glass panel with 0.6 - 0.8mm thickness because FPDs are manufactured by cutting a large-scaled thin glass panel with patterns to the required product dimensions. So FPD's industries are trying to increase the area of thin glass panel. For example, the thin glass panel size of the 8th generation is 2,200mm in width, 2,600mm in length and 0.7mm in thickness. The air flows both in the thin glass panel and in the porous PE-plate surface were modeled and analyzed, from which a working condition was estimated. The thin glass panel on the porous PE-plate surface with self-lubricating characteristics was investigated and compared with that on the square duct floating bar surface with many holes of 1mm diameter when the thin glass panel contacts the floating bar surface due to malfunction of electric power supply.

Numerical Analysis on Wave Characteristics around Submerged Breakwater in Wave and Current Coexisting Field by OLAFOAM (파-흐름 공존장내 잠제 주변에서 OLAFOAM에 의한 파랑특성의 수치해석)

  • Lee, Kwang-Ho;Bae, Ju-Hyun;An, Sung-Wook;Kim, Do-Sam;Bae, Kee Seung
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.28 no.6
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    • pp.332-349
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    • 2016
  • OLAFOAM is the powerful CFD code and is an expanded version of $OpenFOAM^{(R)}$, for wave mechanics simulation. The $OpenFOAM^{(R)}$ does provide many solvers to correspond to each object of the numerical calculation in a variety of fields. OLAFOAM's governing equation bases on VARANS (Volume-Averaged Reynolds-Averaged Navier-Stokes) equation, and the finite volume method is applied to numerical techniques. The program is coded in C++ and run on the Linux operating system. First of all, in this study, OLAFOAM was validated for 1) wave transformation inside porous structure under bore and regular wave conditions, 2) wave transformation by submerged breakwater under regular wave condition, and 3) regular wave transformation and resultant vertical velocity distribution under current by comparison with existing laboratory measurements. Hereafter, this study, which is almost no examination carried out until now, analyzed closely variation characteristics of water surface level, wave height, frequency spectrum, breaking waves, averaged velocity and turbulent kinetic energy around porous submerged breakwater in the wave and current coexisting field for the case of permeable or impermeable rear beach. It was revealed that the wave height fluctuation according to current direction(following or opposing) was closely related to the turbulent kinetic energy, and others.