On curve and surface stretching in isotropic turbulent flow
- 1 December 1990
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 221, 685-692
- https://doi.org/10.1017/s0022112090003731
Abstract
Cocke (1969) showed that, on average, infinitesimal material lines and surfaces are stretched in incompressible isotropic turbulence. We have extended those results to obtain upper and lower bounds for the stretching of such infinitesimal elements in terms of the eigenvalues of the Green deformation tensor. These bounds are in turn used to find bounds for the stretching of finite material lines and surfaces.Keywords
This publication has 3 references indexed in Scilit:
- Statistical Fluid Mechanics, Vol. IIJournal of Applied Mechanics, 1976
- Comments on “Turbulent Hydrodynamic Line Stretching: Consequences of Isotropy”Physics of Fluids, 1970
- Turbulent Hydrodynamic Line Stretching: Consequences of IsotropyPhysics of Fluids, 1969