Turbulent Modeling of Wall-Bounded Flow with Memory Effects
作者单位：School of ScienceShanghai Institute of Technology School of Mechanical EngineeringShanghai Institute of Technology Shanghai Institute of Applied Mathematics and MechanicsShanghai University
会议名称：《The 16th Annual Conference of Hong Kong Society of Theoretical and Applied Mechanics 2012、The 1st Mainland-Hong Kong Youth Forum on Mechanics 2012、The 8th Shanghai-Hong Kong Forum on Mechanics and Its Application 2012》
会议日期：2012年
学科分类：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 Natural Science Foundation of China(NSFC No.11172179 11102114)
关 键 词：Turbulent Modeling of Wall Bounded Flow with Memory Effects
摘 要：Memory effects have been recognized to be very important in turbulent shear *** turbulent flows of Newtonian fluids have already been compared with non-Newtonian laminar flows. In this paper the analogy between these classes of flows is explored,and a new approach to derive a turbulent model concerning memory effects based on a nonlinear constitutive equation is *** order to reach this aim,opened DNS databases of turbulent channel flows are used and analyzed in the light of the classical parameters of non-Newtonian constitutive *** Reynolds stress tensor is expressed in terms of a set of basis tensors based on a projection of a nonlinear *** coefficients of the model are given as functions of the intensity of the mean strain *** apparent turbulent viscosity,the first and second normal stress difference,are presented in function of the shear rate.A turbulent Weissenberg number,based on a characteristic turbulent time ratio of the first normal stress difference to the apparent viscosity is also *** material functions, exhibiting a shear-thinning behavior,are fitted with the power law(the Carreau-type) *** range of the Reynolds number investigated was 180≤Reτ≤*** of the advantages of the new algebraic nonlinear power law constitutive equation derived in the paper is that its dependence is only on the mean velocity gradient and can be integrated up to the wall.