Modeling of drag reduction in turbulent channel flow with hydrophobic walls by FVM method and weakly-compressible flow equations

作     者：Ling Li Ming-Shun Yuan 

作者机构：State Key Laboratory of Hydroscience and Engineering Tsinghua University 100084 Beijing China 

出 版 物：《Acta Mechanica Sinica》 (力学学报（英文版）)

年 卷 期：2011年第27卷第2期

页      面：200-207页

核心收录：

学科分类：080701[工学-工程热物理] 080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 0801[工学-力学（可授工学、理学学位）] 

基　　金：supported by the National Basic Research and Development Program of China (2006CB403304) State Key Laboratory of Hydroscience and Engineering Program of China (2009-TC-2, 2009-ZY-8) the National Natural Science Foundation of China (50475012) 

主　　题：Wall turbulences · Large eddy simulation · Drag reduction · Hydrophobic wall · Weakly compressible flow 

摘      要：In this paper the effects of hydrophobic wall on skin-friction drag in the channel flow are investigated through large eddy simulation on the basis of weaklycompressible flow equations with the MacCormack’s scheme on collocated mesh in the FVM framework. The slip length model is adopted to describe the behavior of the slip velocities in the streamwise and spanwise directions at the interface between the hydrophobic wall and turbulent channel flow. Simulation results are presented by analyzing flow behaviors over hydrophobic wall with the Smagorinky subgrid-scale model and a dynamic model on computational meshes of different resolutions. Comparison and analysis are made on the distributions of timeaveraged velocity, velocity fluctuations, Reynolds stress as well as the skin-friction drag. Excellent agreement between the present study and previous results demonstrates the accuracy of the simple classical second-order scheme in representing turbulent vertox near hydrophobic wall. In addition, the relation of drag reduction efficiency versus time-averaged slip velocity is established. It is also foundthat the decrease of velocity gradient in the close wall region is responsible for the drag reduction. Considering its advantages of high calculation precision and efficiency, the present method has good prospect in its application to practical projects.