Journal of the Society of Naval Architects of Korea (대한조선학회논문집)

The Society of Naval Architects of Korea (대한조선학회)
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A Study of using Wall Function for Numerical Analysis of High Reynolds Number Turbulent Flow

고 레이놀즈수 유동의 수치해석시 벽함수 사용에 관한 연구

  • Choi, Jung-Kyu (Dept. of Naval Architecture and Ocean Engineering, Chungnam National University) ;
  • Kim, Hyoung-Tae (Dept. of Naval Architecture and Ocean Engineering, Chungnam National University)
  • 최정규 (충남대학교 선박해양공학과) ;
  • 김형태 (충남대학교 선박해양공학과)
  • Received : 2010.04.05
  • Accepted : 2010.07.28
  • Published : 2010.10.20
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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 $y_1^+$ 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 $y^+$��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 $y^+$ value of validity of the log law. And the slope(1/$\kappa$) of the log region of the numerical result is larger than that of experimental data. On the other hand, as $y_1^+$ is increasing, both the friction and the pressure resistances tend to increase finely. When using $y_1^+$ value beyond the range of log law, the surface shear stress shows a significant error and the pressure resistance increases rapidly. However, when using $y_1^+$ value in the range, the computational result is reasonable. From this study, the use of the wall function with high value of $y_1^+$ can be justified for a full scale Reynolds number ship flow.

Keywords

References

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