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THE TOPOLOGY OF SURFACE SKIN FRICTION AND VORTICITY FIELDS IN WALL-BOUNDED FLOWS

M. S. Chong
Department of Mechanical and Manufacturing Engineering University of Melbourne, Parkville VIC 3052, Australia

Jason P. Monty
Department of Mechanical Engineering University of Melbourne Parkville, Victoria 3010, Australia

Ivan Marusic
Department of Mechanical Engineering, The University of Melbourne, Melbourne, VIC, 3010, Australia

Abstrakt

In previous studies, the three invariants of the velocity gradient tensor have been used to study turbulent flow structures. For incompressible flow the first invariant P is zero and the topology of the flow structures can be investigated in terms of the second and third invariants, Q and R respectively. However, these invariants are zero at a no slip wall and can no longer be used to identify and study structures at the surface in a wall-bounded flow. At the wall, the flow field can be described by a no slip Taylor-series expansion. Like the velocity gradient tensor, it is possible to define the invariants P, Q and R of the no slip tensor. In this paper it will be shown how the topology of the flow field on a no slip wall can be studied in terms of these invariants.