고 레이놀즈수 유동의 수치해석시 벽함수 사용에 관한 연구
A Study of using Wall Function for Numerical Analysis of High Reynolds Number Turbulent Flow
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초록
In this paper, a numerical study is carried out for super-pipe, flat plate and axisymmetric body flows to investigate a validity of using wall function and high in calculation of high Reynolds number flow. The velocity profiles in boundary layer agree well with the law of the wall. And it is found that the range of which validated the logarithmic law of the wall grows with increasing Reynolds number. From the result, an equation is suggested that can be used to estimate a maximum value of validity of the log law. And the slope(1/κ) of the log region of the numerical result is larger than that of experimental data. On the other hand, as is increasing, both the friction and the pressure resistances tend to increase finely. When using value beyond the range of log law, the surface shear stress shows a significant error and the pressure resistance increases rapidly. However, when using value in the range, the computational result is reasonable. From this study, the use of the wall function with high value of can be justified for a full scale Reynolds number ship flow.
Abstract
In this paper, a numerical study is carried out for super-pipe, flat plate and axisymmetric body flows to investigate a validity of using wall function and high in calculation of high Reynolds number flow. The velocity profiles in boundary layer agree well with the law of the wall. And it is found that the range of which validated the logarithmic law of the wall grows with increasing Reynolds number. From the result, an equation is suggested that can be used to estimate a maximum value of validity of the log law. And the slope(1/κ) of the log region of the numerical result is larger than that of experimental data. On the other hand, as is increasing, both the friction and the pressure resistances tend to increase finely. When using value beyond the range of log law, the surface shear stress shows a significant error and the pressure resistance increases rapidly. However, when using value in the range, the computational result is reasonable. From this study, the use of the wall function with high value of can be justified for a full scale Reynolds number ship flow.
참고문헌 (11)
- 최정규, "축대칭체 주위 고 레이놀즈수 유동에 대한 수치해석", 대한조선학회 논문집, 45(6), pp.631~636 (2008), 대한조선학회
- Coder, D.W, "Reynolds Number Scaling of Velocities in Axisymmetric Turbulent Boundary Layers", 14th Symposium Naval Hydrodynamics (ONR), pp.1071~1086 (1983), National Academy Press
- De graaff, D.B, "Reynolds-number scaling of the flat-plate turbulent boundary layer", Journal of Fluid Mechanics, 422(1), pp.319~346 (2000)
- Granville, P. S, "Drag and Turbulent Boundary Layer of Flat Plates at Low Reynolds Numbers", of Ship Research, 21(1), pp.30~39 (1977)
- Ju, S, "Stern Flows at Full-Scale Reynolds Numbers", Journal of Ship Research, 35(2), pp.101~113 (1991)
- Kim, J.J., "Development of Ship Resistance and Propulsion Performance Analysis System using Finite Volume Method", 박사, pp.2005
- Lee,S.J., "Fluid Mechanics Learning As History" (1999), Inter Vision
- Patel, V.C, "Flow at High Reynolds Number and over Rough Surfaces-Achilles Heel of CFD", Journal of Fluids Engineering, 120(3), pp.1~26 (1998)
- Tahara, Y, "Computation of Ship Viscous Flow at Full Scale Reynolds Number", J. of The Society of Naval Architects of Japan, 192, pp.89~101 (2002)
- Visonneau, M, "Computation of model and full scale flows around fully-appended ships with an unstructured RANSE solver", 26th Symposium on Naval Hydrodynamics proceedings, pp.193~208 (2006)
- White, F. M., "Viscous Fluid Flow" (1991), McGraw-Hill