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Development of Low Reynolds Number k-ε Model for Prediction of a Turbulent Flow with a Weak Adverse Pressure Gradient

약한 역압력구배의 난류유동장 해석을 위한 저레이놀즈수 k-ε 모형 개발

  • 송경 (연세대학교 대학원 기계공학과) ;
  • 조강래 (연세대학교 기계공학과)
  • Received : 1998.11.10
  • Published : 1999.05.01

Abstract

Recently, numerous modifications of low Reynolds number $k-{\epsilon}$ model have boon carried out with the aid of DNS data. However, the previous models made in this way are too intricate to be used practically. To overcome this shortcoming, a new low Reynolds number $k-{\epsilon}$ model has boon developed by considering the distribution of turbulent properties near the wall. This study proposes the revised a turbulence model for prediction of turbulent flow with adverse pressure gradient and separation. Nondimensional distance $y^+$ in damping functions is changed to $y^*$ and some terms modeled for one dimensional flow in $\epsilon$ equations are expanded into two or three dimensional form. Predicted results by the revised model show an acceptable agreement with DNS data and experimental results. However, for a turbulent flow with severe adverse pressure gradient, an additive term reflecting an adverse pressure gradient effect will have to be considered.

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