LOGIN TO YOUR ACCOUNT

Username
Password
Remember Me
Or use your Academic/Social account:

CREATE AN ACCOUNT

Or use your Academic/Social account:

Congratulations!

You have just completed your registration at OpenAire.

Before you can login to the site, you will need to activate your account. An e-mail will be sent to you with the proper instructions.

Important!

Please note that this site is currently undergoing Beta testing.
Any new content you create is not guaranteed to be present to the final version of the site upon release.

Thank you for your patience,
OpenAire Dev Team.

Close This Message

CREATE AN ACCOUNT

Name:
Username:
Password:
Verify Password:
E-mail:
Verify E-mail:
*All Fields Are Required.
Please Verify You Are Human:
fbtwitterlinkedinvimeoflicker grey 14rssslideshare1
Barkley, Dwight; Tuckerman, Laurette S. (2007)
Publisher: Cambridge University Press
Languages: English
Types: Preprint
Subjects: QA, Physics - Fluid Dynamics

Classified by OpenAIRE into

arxiv: Physics::Fluid Dynamics
A turbulent-laminar banded pattern in plane Couette flow is studied numerically. This pattern is statistically steady, is oriented obliquely to the streamwise direction, and has a very large wavelength relative to the gap. The mean flow, averaged in time and in the homogeneous direction, is analysed. The flow in the quasi-laminar region is not the linear Couette profile, but results from a non-trivial balance between advection and diffusion. This force balance yields a first approximation to the relationship between the Reynolds number, angle, and wavelength of the pattern. Remarkably, the variation of the mean flow along the pattern wavevector is found to be almost exactly harmonic: the flow can be represented via only three cross-channel profiles as U(x,y,z) = U_0(y) + U_c(y) cos(kz) + U_s(y) sin(kz). A model is formulated which relates the cross-channel profiles of the mean flow and of the Reynolds stress. Regimes computed for a full range of angle and Reynolds number in a tilted rectangular periodic computational domain are presented. Observations of regular turbulent-laminar patterns in other shear flows -- Taylor-Couette, rotor-stator, and plane Poiseuille -- are compared.
  • The results below are discovered through our pilot algorithms. Let us know how we are doing!

    • Andereck, C. D., Liu, S. S. & Swinney, H. L. 1986 Flow regimes in a circular Couette system with independently rotating cylinders. J. Fluid Mech. 164, 155-183.
    • van Atta, C. W. 1966 Exploratory measurements in spiral turbulence. J. Fluid Mech. 25, 495-512.
    • Barkley, D. & Tuckerman, L. S. 2005a Computational study of turbulent laminar patterns in Couette flow. Phys. Rev. Lett. 94, 014502.
    • Barkley, D. & Tuckerman, L. S. 2005b Turbulent-laminar patterns in plane Couette flow. In IUTAM Symposium on Laminar-Turbulent Transition and Finite Amplitude Solutions (ed. T. Mullin & R. Kerswell), pp. 107-127. Dordecht: Springer.
    • Bottin, S., Daviaud, F., Manneville, P. & Dauchot, O. 1998 Discontinuous transition to spatiotemporal intermittency in plane Couette flow. Europhys. Lett. 43, 171-176.
    • Coles, D. 1965 Transition in circular Couette flow. J. Fluid Mech. 21, 385-425.
    • Coles, D. & van Atta, C. W. 1966 Progress report on a digital experiment in spiral turbulence. AIAA J. 4, 1969-1971.
    • Crawford, J. & Knobloch, E. 1991 Symmetry and symmetry-breaking bifurcations in fluid dynamics. Annu. Rev. Fluid Mech. 23, 341-387.
    • Cros, A. & Le Gal, P. 2002 Spatiotemporal intermittency in the torsional Couette flow between a rotating and a stationary disk. Phys. Fluids 14 (11), 3755-3765.
    • Dauchot, O. & Vioujard, N. 2000 Phase space analysis of a dynamical model for the subcritical transition to turbulence in plane Couette flow. Eur. Phys. J. B 14, 377-381.
    • Eckhardt, B. & Mersmann, A. 1999 Transition to turbulence in a shear flow. Phys. Rev. E 60, 509-517.
    • Hamilton, J. M., Kim, J. & Waleffe, F. 1995 Regeneration mechanisms of near-wall turbulence structures. J. Fluid Mech. 287, 317-348.
    • Hegseth, J. J., Andereck, C. D., Hayot, F. & Pomeau, Y. 1989 Spiral turbulence and phase dynamics. Phys. Rev. Lett. 62 (3), 257-260.
    • Henderson, R. D. & Karniadakis, G. E. 1995 Unstructured spectral element methods for simulation of turbulent flows. J. Comput. Phys. 122 (2), 191-217.
    • Jim´enez, J. & Moin, P. 1991 The minimal flow unit in near-wall turbulence. J. Fluid Mech. 225, 213-240.
    • Lagha, M. & Manneville, P. 2006 On the modeling of transitional plane Couette flow. Eur. Phys. J. B to appear.
    • Manneville, P. & Locher, F. 2000 A model for transitional plane Couette flow. C.R. Acad. Sci. Paris II b 328, 159-164.
    • Moehlis, J., Faisst, H. & Eckhardt, B. 2004 A low-dimensional model for turbulent shear flows. NJP 6, 56.
    • Moehlis, J., Smith, T. & Holmes, P. 2002 Models for turbulent plane Couette flow using the proper orthogonal decomposition. PF 14, 2493-2507.
    • Pope, S. 2000 Turbulent Flows. Cambridge: Cambridge University Press.
    • Prigent, A. & Dauchot, O. 2000 'Barber pole turbulence' in large aspect ratio TaylorCouette flow. arXiv:cond-mat/00009241 .
    • Prigent, A. & Dauchot, O. 2005 Transition to versus from turbulence in subcritical Couette flows. In IUTAM Symposium on Laminar-Turbulent Transition and Finite Amplitude Solutions (ed. T. Mullin & R. Kerswell), pp. 193-217. Dordecht: Springer.
    • Prigent, A., Gregoire, G., Chat´e, H. & Dauchot, O. 2003 Long-wavelength modulation of turbulent shear flows. Physica D174 (1-4), 100-113.
    • Prigent, A., Gregoire, G., Chat´e, H., Dauchot, O. & van Saarloos, W. 2002 Large-scale finite-wavelength modulation within turbulent shear flows. Phys. Rev. Lett. 89 (1), 014501.
    • Schmiegel, A. & Eckhardt, B. 1997 Fractal stability border in plane Couette flow. Phys. Rev. Lett. 79 (26), 5250.
    • Smith, T., Moehlis, J. & Holmes, P. 2005 Low-dimensional models for turbulent plane Couette flow in a minimal flow unit. J. Fluid Mech. 538, 71-110.
    • Tsukahara, T., Seki, Y., Kawamura, H. & Tochio, D. 2005 DNS of turbulent channel flow at very low Reynolds numbers. In Proc. 4th Int. Symp. on Turbulence and Shear Flow Phenomena, pp. 935-940.
    • Waleffe, F. 1997 On a self-sustaining process in shear flows. Phys. Fluids 9 (6), 883- 900.
    • Waleffe, F. 2003 Homotopy of exact coherent structures in plane shear flows. Phys. Fluids 15 (6), 1517-1534.
    • Andereck, C. D., Liu, S. S. & Swinney, H. L. 1986 Flow regimes in a circular Couette system with independently rotating cylinders. J. Fluid Mech. 164, 155-183.
    • Barkley, D. & Tuckerman, L. S. 2005a Computational study of turbulent laminar patterns in Couette flow. Phys. Rev. Lett. 94, 014502.
    • Barkley, D. & Tuckerman, L. S. 2005b Turbulent-laminar patterns in plane Couette flow. In IUTAM Symposium on Laminar-Turbulent Transition and Finite Amplitude Solutions (ed. T. Mullin & R. Kerswell), pp. 107-127. Springer.
    • Bottin, S., Daviaud, F., Manneville, P. & Dauchot, O. 1998 Discontinuous transition to spatiotemporal intermittency in plane Couette flow. Europhys. Lett. 43, 171-176.
    • Coles, D. 1965 Transition in circular Couette flow. J. Fluid Mech. 21, 385-425.
    • Coles, D. & Van Atta, C. W. 1966 Progress report on a digital experiment in spiral turbulence. AIAA J. 4, 1969-1971.
    • Crawford, J. & Knobloch, E. 1991 Symmetry and symmetry-breaking bifurcations in fluid dynamics. Annu. Rev. Fluid Mech. 23, 341-387.
    • Cros, A. & Le Gal, P. 2002 Spatiotemporal intermittency in the torsional Couette flow between a rotating and a stationary disk. Phys. Fluids 14, 3755-3765.
    • Dauchot, O. & Vioujard, N. 2000 Phase space analysis of a dynamical model for the subcritical transition to turbulence in plane Couette flow. Eur. Phys. J. B 14, 377-381.
    • Eckhardt, B. & Mersmann, A. 1999 Transition to turbulence in a shear flow. Phys. Rev. E 60, 509-517.
    • Hamilton, J. M., Kim, J. & Waleffe, F. 1995 Regeneration mechanisms of near-wall turbulence structures. J. Fluid Mech. 287, 317-348.
    • Hegseth, J. J., Andereck, C. D., Hayot, F. & Pomeau, Y. 1989 Spiral turbulence and phase dynamics. Phys. Rev. Lett. 62, 257-260.
    • Henderson, R. D. & Karniadakis, G. E. 1995 Unstructured spectral element methods for simulation of turbulent flows. J. Comput. Phys. 122, 191-217.
    • Jime´nez, J. & Moin, P. 1991 The minimal flow unit in near-wall turbulence. J. Fluid Mech. 225, 213-240.
    • Lagha, M. & Manneville, P. 2006 On the modeling of transitional plane Couette flow. Eur. Phys. J. B, (to appear).
    • Manneville, P. & Locher, F. 2000 A model for transitional plane Couette flow. CR Acad. Sci. Paris II b 328, 159-164.
    • Moehlis, J., Faisst, H. & Eckhardt, B. 2004 A low-dimensional model for turbulent shear flows. New J. Phys. 6, 56.
    • Moehlis, J., Smith, T. & Holmes, P. 2002 Models for turbulent plane Couette flow using the proper orthogonal decomposition. Phys. Fluids 14, 2493-2507.
    • Pope, S. 2000 Turbulent Flows. Cambridge University Press.
    • Prigent, A. & Dauchot, O. 2000 'Barber pole turbulence' in large aspect ratio Taylor-Couette flow. arXiv:cond-mat/00009241.
    • Prigent, A. & Dauchot, O. 2005 Transition to versus from turbulence in subcritical Couette flows. In IUTAM Symposium on Laminar-Turbulent Transition and Finite Amplitude Solutions (ed. T. Mullin & R. Kerswell), pp. 193-217. Springer.
    • Prigent, A., Gregoire, G., Chate´, H. & Dauchot, O. 2003 Long-wavelength modulation of turbulent shear flows. Physica D174, 100-113.
    • Prigent, A., Gregoire, G., Chate´, H., Dauchot, O. & van Saarloos, W. 2002 Large-scale finitewavelength modulation within turbulent shear flows. Phys. Rev. Lett. 89, #014501.
    • Schmiegel, A. & Eckhardt, B. 1997 Fractal stability border in plane Couette flow. Phys. Rev. Lett. 79, 5250.
    • Smith, T., Moehlis, J. & Holmes, P. 2005 Low-dimensional models for turbulent plane Couette flow in a minimal flow unit. J. Fluid Mech. 538, 71-110.
    • Tsukahara, T., Seki, Y., Kawamura, H. & Tochio, D. 2005 DNS of turbulent channel flow at very low Reynolds numbers. In Proc. 4th Intl Symp. on Turbulence and Shear Flow Phenomena, pp. 935-940.
    • Van Atta, C. W. 1966 Exploratory measurements in spiral turbulence. J. Fluid Mech. 25, 495-512.
    • Waleffe, F. 1997 On a self-sustaining process in shear flows. Phys. Fluids 9, 883-900.
    • Waleffe, F. 2003 Homotopy of exact coherent structures in plane shear flows. Phys. Fluids 15, 1517-1534.
  • No related research data.
  • Discovered through pilot similarity algorithms. Send us your feedback.

Share - Bookmark

Cite this article