Traveling-waves consistent with turbulence-driven secondary flow in a square duct

Physics of Fluids

Volumn 22, Issue 8, 2010, Pages

  Uhlmann, Markus ^a   Kawahara, Genta ^b   Pinelli, Alfredo ^c  

^a KARLSRUHE INSTITUTE OF TECHNOLOGY   (Germany)

^b OSAKA UNIVERSITY   (Japan)

^c CIEMAT   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

SECONDARY FLOW; VORTEX FLOW;

COHERENT STRUCTURE; COUNTER ROTATING; PRESSURE-DRIVEN FLOWS; SQUARE CROSS SECTION; STAGGERED ARRAYS; STREAMWISE VORTICES; TRAVELING WAVE SOLUTION; TURBULENCE-DRIVEN SECONDARY FLOWS;

DUCTS;

EID: 77956639192     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3466661     Document Type: Article

References (20)

1. Tatsumi T, Yoshimura T. Stability of the laminar flow in a rectangular duct. J. Fluid Mech. 1990, 212:437. JFLSA7, 0022-1120, 10.1017/S002211209000204X.
2. Nishioka M, Asai M. Some observations of the subcritical transition in plane Poiseuille flow. J. Fluid Mech. 1985, 150:441. JFLSA7, 0022-1120, 10.1017/S0022112085000210.
3. Nikuradse J. Untersuchung über die Geschwindigkeitsverteilung in turbulenten Strömungen 1926, 281. VDI Forschungsarbeiten auf dem Gebiete des Ingenieurwesens Vol. (VDI, Berlin, ).
4. Gavrilakis S. Numerical simulation of low-Reynolds-number turbulent flow through a straight square duct. J. Fluid Mech. 1992, 244:101. JFLSA7, 0022-1120, 10.1017/S0022112092002982.
5. Uhlmann M, Pinelli A, Kawahara G, Sekimoto A. Marginally turbulent flow in a square duct. J. Fluid Mech. 2007, 588:153. JFLSA7, 0022-1120, 10.1017/S0022112007007604.
6. Wedin H, Bottaro A, Nagata M. Three-dimensional travelling waves in a square duct. Phys. Rev. E 2009, 79:065305. PLEEE8, 1063-651X, 10.1103/PhysRevE.79.065305, (R) .
7. Pinelli A, Uhlmann M, Sekimoto A, Kawahara G. Reynolds number dependence of mean flow structure in square duct turbulence. J. Fluid Mech. 2010, 644:107. JFLSA7, 0022-1120, 10.1017/S0022112009992242.
8. Uhlmann M, Nagata M. Linear stability analysis of flow in an internally heated rectangular duct. J. Fluid Mech. 2006, 551:387. JFLSA7, 0022-1120, 10.1017/S0022112005008487.
9. Canuto C, Hussaini MY, Quarteroni A, Zang TA. Spectral Methods: Evolution to Complex Geometries and Applications to Fluid Dynamics 2007, II. , and, (Springer, Berlin, ), Vol.
10. Rheinboldt W, Burkardt J. A locally parameterized continuation process. ACM Trans. Math. Softw. 1983, 9:215. ACMSCU, 0098-3500, 10.1145/357456.357460.
11. Jiménez J, Kawahara G, Simens MP, Nagata M, Shiba M. Characterization of near-wall turbulence in terms of equilibrium and 'bursting' solutions. Phys. Fluids 2005, 17:015105. PHFLE6, 1070-6631, 10.1063/1.1825451.
12. Waleffe F. Homotopy of exact coherent structures in plane shear flows. Phys. Fluids 2003, 15:1517. PHFLE6, 1070-6631, 10.1063/1.1566753.
13. Leriche E, Labrosse G. Stokes eigenmodes in square domain and the streamfunction-vorticity correlation. J. Comput. Phys. 2004, 200:489. JCTPAH, 0021-9991, 10.1016/j.jcp.2004.03.017.
14. Jiménez J, Moin P. The minimal flow unit in near-wall turbulence. J. Fluid Mech. 1991, 225:213. JFLSA7, 0022-1120, 10.1017/S0022112091002033.
15. Jeong J, Hussain F, Schoppa W, Kim J. Coherent structures near the wall in a turbulent channel flow. J. Fluid Mech. 1997, 332:185. JFLSA7, 0022-1120.
16. Kawahara G, Kida S. Periodic motion embedded in plane Couette turbulence: Regeneration cycle and burst. J. Fluid Mech. 2001, 449:291. JFLSA7, 0022-1120, 10.1017/S0022112001006243.
17. Wang J, Gibson J, Waleffe F. Lower branch coherent states in shear flows: transition and control. Phys. Rev. Lett. 2007, 98:204501. PRLTAO, 0031-9007, 10.1103/PhysRevLett.98.204501.
18. Viswanath D. The critical layer in pipe flow at high Reynolds number. Proc. R. Soc. London, Ser. A 2008, 367:561. PRLAAZ, 0950-1207.
19. Kim J, Hussain F. Propagation velocity of perturbations in turbulent channel flow. Phys. Fluids A 1993, 5:695. PFADEB, 0899-8213, 10.1063/1.858653.
20. Gibson JF, Halcrow J, Cvitanović P. Visualizing the dynamics of state space in Couette flow. J. Fluid Mech. 2008, 611:107. JFLSA7, 0022-1120, 10.1017/S002211200800267X.