“…In terms of the 2D case, the riblets were primarily regarded as the typical 2D longitudinal grooved structures. So far, four kinds of explanations about the drag reduction mechanism of riblets have been publically re-ported: (1) spanwise inhibition, i.e., the spanwise movements of streamwise vortices were inhibited by riblets, which impaired the turbulent momentum transport near the wall surface and thereby reduced the skin-friction (Choi (1989), Chu and Karniadakis (1993), Monfared et al (2019)); (2) existence of protrusion height, i.e., the existence of the distance between virtual origin and riblet tip suppressed the spanwise shift of the viscous sublayer where the riblets were submerged, resulting in more stable low-speed streaks and lower bursting frequencies (Bechert and Bartenwerfer (1989), Luchini et al (1991), Gr u neberger and Hage (2011));(3) creation of a secondary vortex, i.e., a couple of secondary vortices generating near the riblet tip weakened the main streamwise vortical flow in the turbulent boundary layer, which retarded the strong interactions among neighboring streaks and subsequently kept a quasistatic flow in rib valley (Chu and Karniadakis (1993), Bacher and R. Smith (1986), Boomsma and Sotiropoulos (2016)); (4) uplifting of streamwise vortex, i.e., the ribs might uplift the streamwise vortices to decrease the ejection and sweeping events which were related with the high shear stress force in turbulent flows. Thus, the viscous drag force was reduced (Lee and Lee (2001), Martin andBhushan (2014), Huang et al (2016)).…”