Abstract
This chapter explores a second-order finite difference scheme employed for the direct numerical simulation (DNS) study of the drag-reducing Giesekus fluid flow in a two-dimensional channel. It is noted that second-order bounded scheme, MINMOD, is used to discretize the convective term in the constitutive equation. The instantaneous stress and flow structures at different Weissenberg numbers are also compared. Further, the chapter presents the effects of Weissenberg number on various turbulence statistics, such as turbulence intensities, Reynolds shear stress, and two-point correlation coefficients. From the numerical simulations, it can be concluded that with the increase of Weissenberg number, the flow structures become larger. The larger the drag reduction rate is, larger the u+rms increases and smaller the v+rms and w+rms decrease. The Reynolds shear stress becomes smaller with the increase of Weissenberg number. It is noted that the onset Weissenberg number thus obtained is around 10 and the maximum drag reduction is 53%.
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