References
- Hinze JO. Secondary currents in wall turbulence. Phys Fluids. 1967;10:S122–S125.
- Hinze JO. Experimental investigation on secondary currents in the turbulent flow through a straight conduit. Appl Sci Res. 1973;28:453–465.
- Willingham D, Anderson W, Christensen KT, et al. Turbulent boundary layer flow over transverse aerodynamic roughness transitions: induced mixing and flow characterization. Phys Fluids. 2014;26:025111.
- Barros JM, Christensen KT. Observations of turbulent secondary flows in a rough-wall boundary layer. J Fluid Mech. 2014;748:R1.
- Anderson W, Barros J, Christensen K, et al. Numerical and experimental study of mechanisms responsible for turbulent secondary flows in boundary layer flows over spanwise heterogeneous roughness. J Fluid Mech. 2015;768:316–347.
- Vanderwel C, Ganapathisubramani B. Effects of spanwise spacing on large-scale secondary flows in rough-wall turbulent boundary layers. J Fluid Mech. 2015;774:R2.
- Türk S, Daschiel G, Stroh A, et al. Turbulent flow over superhydrophobic surfaces with streamwise grooves. J Fluid Mech. 2014;747:186–217.
- Erhard P, Etling D, Muller U, et al. Prandtl-essentials of fluid mechanics. New York (NY): Springer Science & Business Media; 2010.
- Goldstein DB, Tuan TC. Secondary flow induced by riblets. J Fluid Mech. 1998;363:115–151.
- Wang ZQ, Cheng NS. Time-mean structure of secondary flows in open channel with longitudinal bedforms. Adv Water Resour. 2006;29:1634–1649.
- Seo J, García-Mayoral R, Mani A. Pressure fluctuations and interfacial robustness in turbulent flows over superhydrophobic surfaces. J Fluid Mech. 2015;783:448–473.
- Reynolds RT, Hayden P, Castro IP, et al. Spanwise variations in nominally two-dimensional rough-wall boundary layers. Exp Fluids. 2007;42:311–320.
- Mejia-Alvarez R, Christensen KT. Wall-parallel stereo particle-image velocimetry measurements in the roughness sublayer of turbulent flow overlying highly irregular roughness. Phys Fluids. 2013;25:115109.
- Foss JF. Surface selections and topological constraint evaluations for flow field analyses. Exp Fluids. 2004;37:883–898.
- Cabral B, Leedom LC. Imaging vector fields using line integral convolution. In: Proceedings of the 20th annual conference on computer graphics and interactive techniques, no. 20. SIGGRAPH ’93, Anaheim, CA ACM, New York, NY, USA; 1993. p. 263–270.
- Helman J, Hesselink L. Representation and display of vector field topology in fluid flow data sets. IEEE Comput. 1989;22(8):27–36.
- Theisel H. Designing 2D vector fields of arbitrary topology. Eurographics. 2002;21:3.
- Vinuesa R, Noorani A, Lozano-Durán A, et al. Aspect ratio effects in turbulent duct flows studied through direct numerical simulation. J Turbul. 2014;15:677–706.
- Pinelli A, Uhlmann M, Sekimoto A, et al. Reynolds number dependence of mean flow structure in square duct turbulence. J Fluid Mech. 2010;644:107–122.