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Type: Journal article
Title: The topology of skin friction and surface vorticity fields in wall-bounded flows
Author: Chong, M.
Monty, J.
Chin, C.
Marusic, I.
Citation: Journal of Turbulence, 2012; 13(6):1-10
Publisher: Taylor & Francis
Issue Date: 2012
ISSN: 1468-5248
Statement of
M.S. Chong, J.P. Monty, C. Chin and I. Marusic
Abstract: In previous studies, the three invariants (P, Q and R) of the velocity gradient tensor have been widely used to investigate turbulent flow structures. For incompressible flows, the first invariant P is zero and the topology of turbulent flow structures can be investigated in terms of the second and third invariants, Q and R, respectively. However, all these three invariants are zero at a no-slip wall and can no longer be used to identify and study structures at the surface in any wall-bounded flow. An alternative scheme is presented here for the classification of critical points at a no-slip wall; the skin friction vector field at the wall is given by the wall normal gradients of the streamwise and spanwise velocity components; at a critical point, these gradients are simultaneously zero. The flow close to critical points in the surface skin friction field can be described by a no-slip Taylor series expansion and the topology of the critical point in the skin friction field is defined by the three invariants (P, Q and R) of the ‘no-slip tensor’. Like the invariants of the velocity gradient tensor, the no-slip tensor invariants can be easily computed and these invariants provide a methodology for studying the structure of turbulence at the surface of a no-slip wall in any wall-bounded flow.
Keywords: Turbulence; wall-bounded flows; surface skin friction fields; surface vorticity fields; local solutions of Navier–Stokes equations
Rights: © 2012 Taylor & Francis
DOI: 10.1080/14685248.2012.663093
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