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고 레이놀즈수 유동의 수치해석시 벽함수 사용에 관한 연구 (A Study of using Wall Function for Numerical Analysis of High Reynolds Number Turbulent Flow)

  • 최정규;김형태
    • 대한조선학회논문집
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    • 제47권5호
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    • pp.647-655
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    • 2010

  • 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.

  • https://doi.org/10.3744/SNAK.2010.47.5.647 인용 PDF KSCI