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Modification of the damping function in the k–ε model to analyse oscillatory boundary layers
Authors:Ahmad Sana  Abdul Razzaq Ghumman  Hitoshi Tanaka  
Institution:aDepartment of Civil and Architectural Engineering, Sultan Qaboos University, P.O. Box 33, AL-KHOD, Postal Code 123, Sultanate of Oman;bFaculty of Civil Engineering, University of Engineering and Technology, Taxila, Pakistan;cDepartment of Civil Engineering, Tohoku University, Sendai, Japan
Abstract:A simple relationship has been developed between the wall coordinate y+ and Kolmogorov's length scale using direct numerical simulation (DNS) data for a steady boundary layer. This relationship is then utilized to modify two popular versions of low Reynolds number k–ε model. The modified models are used to analyse a transitional oscillatory boundary layer. A detailed comparison has been made by virtue of velocity profile, turbulent kinetic energy, Reynolds stress and wall shear stress with the available DNS data. It is observed that the low Reynolds number models used in the present study can predict the boundary layer properties in an excellent manner.
Keywords:Turbulence model  Oscillatory boundary layer  Shear stress  k–  ε   model
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