• Title/Summary/Keyword: Equivalent roughness

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Determination of Equivalent Roughness for Estimating Flow Resistance in Stabled Gravel-Bed River: II. Review of Model Applicability

  • Park, Sang-Woo;Lee, Sin-Jae;Jang, Suk-Hwan
    • Journal of Environmental Science International
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    • v.17 no.11
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    • pp.1211-1220
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    • 2008
  • In this study, we estimated, the equivalent roughness using an estimation model, which considered grain distribution on the bed and the protrusion height of the grains. We also reviewed the appropriateness of the estimated equivalent roughness at the Goksung and Gurey station in the Seomjin River. To review the appropriateness of this model, we presented the water level-discharge relation curve applying the equivalent roughness to the flow model and compared and reviewed it to observed data. Also, we compared and reviewed the observed data by estimating the Manning coefficient n, the Chezy coefficient C, and the Darcy-Weisbach friction coefficient f by the equivalent roughness. The calculation results of the RMSE showed within 5% error range in comparison with observed value. Therefore the estimated equivalent roughness values by the model could be proved appropriate.

Determination of Equivalent Roughness for Estimating Flow Resistance in Stabled Gravel-Bed River: I. Theory and Development of the Model

  • Park, Sang-Woo;Lee, Sin-Jae;Jang, Suk-Hwan
    • Journal of Environmental Science International
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    • v.17 no.11
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    • pp.1203-1210
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    • 2008
  • Flow resistance in a natural stream is caused by complex factors, such as the grains on the bed, vegetation, and bed-form, reach profile. Flow resistance in a generally stable gravel bed stream is due to protrudent grains from bed. Therefore, the flow resistance can be calculated by equivalent roughness in gravel bed stream, but estimation of equivalent roughness is difficult because nonuniform size and irregular arrangement of distributed grain on natural stream bed. In previous study, equivalent roughness is empirically estimated using characteristic grain size. However, application of empirical equation have uncertainty in stream that stream bed characteristic differs. In this study, we developed a model using an analytical method considering grain diameter distribution characteristics of grains on the bed and also taking into account flow resistance acting on each grain. Also, the model consider the protrusion height of grain.

A Study on Roughness Coefficient Estimations in Gravel Bed Stream without Water Level-Discharge Data (수위-유량자료가 부재한 자갈하천의 조도계수 산정에 관한 연구)

  • Lee, Sin-Jae;Park, Sang-Woo
    • Journal of Korea Water Resources Association
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    • v.39 no.12 s.173
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    • pp.985-996
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    • 2006
  • This study developed a model that could calculate equivalent roughness using shear stress acting on distributed grains in gravel bed stream. The estimated equivalent roughness by the model developed was used for estimation of water level and roughness coefficient in the stream without water level-discharge data. The model was applied to the Gurey-Songjeong stage station section located in the Sumjin river mid-downstream. The equivalent roughness by the model developed in this study was estimated to be 0.194m at the Gurey stage station. Calculated water level which the estimated equivalent roughness was applied to the flow model was shown ewer of within 6% in comparison with observed water level. Also, roughness coefficient was estimated using observed and calculated water level about each discharge scale by unsteady flow analysis. As a result, error of roughness coefficient estimated by observed and calculated water level was shown error of $0{\sim}0.002$ and could consider variability of roughness coefficient.

Pressure Losses in PVC Pipe and Fittings (PVC 배관부품의 마찰 손실)

  • Cho, Sung-Hwan;Choi, Jin-Hee
    • The Magazine of the Society of Air-Conditioning and Refrigerating Engineers of Korea
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    • v.13 no.4
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    • pp.209-214
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    • 1984
  • Friction factors and equivalent sand roughness of PVC pipe fittings have been studied by experiments in the Reynolds number range of $2,000\~70,000$. PVC pipe fittings studied are straight pipes, $90^{\circ}$ elbows and tees with 15, 25, and 40mm in norminal diameter, all manufactured in Korea with KS mark approval. Equivalent relative roughness of PVC pipes obtained lies between smooth pipe and 0.002. The study shows that equivalent sand roughness of PVC pipes increasses in proportion of the square root of pipe diameter , and can be approximately abtained by multiplying 4 to the root mean square value measured by metal surface roughness tester. Loss coefficient of PVC $90^{\circ}$ elbows decreases slowly with increasing Reynolds number. Loss coeffiicent of tees is a function of ratio of flow rates and Reynolds number.

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Turbine Performance Degradation due to Blade Surface Roughness (블레이드 표면 거칠기에 따른 터빈 성능저하)

  • Park, Il-Young;Yun, Yong-Il;Song, Seung-Jin
    • Proceedings of the KSME Conference
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    • 2003.04a
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    • pp.2012-2017
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    • 2003
  • This paper reports on the influence of blade surface roughness on turbine efficiency. The performance of a low speed one-stage axial turbine with roughened blade surfaces was evaluated. Sandpaper with equivalent sandgrain roughness ($k_s$) was used to roughen the blades. Efficiency (${\eta}/{\eta}_0$) decreases by 4.5 % with sandgrain size of 400 ${\mu}m$ on the stator suction surface.

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Elastic Wave Propagation in Jointed Rock Mass (절리암반에서의 탄성파 전파 특성)

  • Cha, Min-Su;Cho, Gye-Chun;Baak, Seung-Hyoung
    • Proceedings of the Korean Geotechical Society Conference
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    • 2005.03a
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    • pp.515-520
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    • 2005
  • The behavior of jointed rock mass is much different from that of intact rock due to the presence of joints. Similarly, the characteristics of elastic wave propagation in jointed rock are considerably different from those of intact rock. The propagation of elastic waves in jointed rock is greatly dependent on the state of stress. The roughness, filling materials, and spacing of joints also affect wave propagation in jointed rock. If the wavelength of elastic waves is much larger than the spacing between joints, wave propagation in jointed rock mass can be considered as wave propagation in equivalent continuum. A rock resonant column testing apparatus is made to measure elastic waves propagating through jointed rock in the state of equivalent continuum. Three types of wave, i.e, torsional, longitudinal and flexural waves are monitored during rock resonant column tests. Various roughness and filling materials are applied to joints, and rock columns with various spacings are used to understand how these factors affect wave propagation under a small strain condition. The experimental results suggest that the characteristics of wave propagation in jointed rock mass are governed by the state of stress and influenced by roughness, filling materials and joint spacings.

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Roughness Model for the Plunge Grinding Process (플런지 연삭공정을 위한 거칠기 모델)

  • Choi, Jeong-Ju
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.18 no.5
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    • pp.443-448
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    • 2009
  • The roughness models have developed to describe the grinding behaviour and predict the final quality of workpiece. The model forms of the plunge grinding process are generally established with initial and steady state model form in accordance with the accumulated metal removal. The steady state roughness model form are based on the grinding condition and specific parameters are used to show the influence of it according to the grinding process such as the equivalent chip thickness and accumulated metal removal. However, the models have been developed in past are not considered the effect of changing the grinding conditions in the same batch. In this paper, the roughness model form to consider the effect of changing grinding condition is proposed and the performance of proposed model is evaluated based on the experimental results.

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Characteristics of the Interfacial Friction Factor in Countercurrent Two-Phase Flows (반류 2상유동에서의 계면마찰계수의 특성)

  • 이상천;김동수
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.1
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    • pp.299-307
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    • 1991
  • A unified correlation of the interfacial friction factor for air-water and steam-water flows in inclined rectangular channels has been developed. The correlation was expressed in the form of a power law of the liquid and the gas Reynolds number, and the liquid-to-gas viscosity ratio. In addition, a relation between the equivalent roughness and the intensity of wave height fluctuation of the interface has been investigated. A new dimensionless intensity of fluctuation including a liquid film Reynolds number is proposed. It has been shown that the dimensionless equivalent roughness, which is calculated from the Nikuradse equation, can be uniquely related to this dimensionless intensity of fluctuation for both air-water and steam-water flows.

Numerical Predictions of Roughness Effects on the Performance Degradation of an Axial-Turbine Stage

  • Kang Young-Seok;Yoo Jae-Chun;Kang Shin-Hyoung
    • Journal of Mechanical Science and Technology
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    • v.20 no.7
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    • pp.1077-1088
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    • 2006
  • This paper describes a numerical investigation on the performance deteriorations of a low speed, single-stage axial turbine due to use of rough blades. Numerical calculations have been carried out with a commercial CFD code, CFX-Tascflow, by using a modified wall function to implement rough surfaces on the stator vane and rotor blade. To assess the stage performance variations corresponding to 5 equivalent sand-grain roughness heights from a transition ally rough regime to a fully rough regime, stage work coefficient and total to static efficiency were chosen. Numerical results showed that both work coefficient and stage efficiency reduced as roughness height increased. Higher surface roughness induced higher blade loading both on the stator and rotor which in turn resulted in higher deviation angles and corresponding work coefficient reductions. Although, deviation angle changes were small, a simple sensitivity analysis suggested that their contributions on work coefficient reductions were substantial. Higher profile loss coefficients were predicted by higher roughness heights, especially on the suction surface of the stator and rotor. Furthermore sensitivity analysis similar to the above, suggested that additional profile loss generations due to roughness were accountable for efficiency reductions.

Turbine Performance Degradation Due to Blade Surface Roughness (블레이드 표면거칠기에 따른 터빈 성능저하)

  • Park, Il-Young;Yun, Yong-Il;Song, Seung-Jin
    • 유체기계공업학회:학술대회논문집
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    • 2003.12a
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    • pp.92-98
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    • 2003
  • Turbine blades experience significant surface degradation with service. This paper presents experimental evidence of blade surface roughness reducing turbine efficiency. Performance tests were conducted in a low speed, single-stage axial flow turbine rig with roughened blade surfaces. Sheets of sandpaper with equivalent sandgrain roughnesses of 106 and $400{\mu}m$ were used to roughen the blades. In these tests, effects of roughened stator vanes and rotor blades were separately evaluated. In the fully rough regime ($k_{s}=400{\mu}m$), the experimental results show an 11 percent decrease in normalized efficiency with roughness only on stator vanes ; an 8 percent decrease with roughness only on rotor blades ; and a 19 percent decrease with roughness on both the stator and rotor blades. In the transitionally rough regime ($k_{s}=106{\mu}m$), the trends are similar approximately 4 percent decrease with either roughened stator or roughened rotor and an 8 percent decrease with roughness on both stator and rotor blades. Thus, roughened stator vanes incur more performance penalty than roughened rotor blades.

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