Chaotic fluid convection and the fractal nature of passive scalar gradients
Journal Article
·
· Phys. Rev. Lett.; (United States)
The chaotic convection of passive scalars by an incompressible fluid is considered. (The convection is said to be chaotic if nearby fluid elements typically diverge from each other exponentially in time.) It is shown that during the time evolution the gradient squared of chaotically convected passive scalars typically concentrates on a fractal set. Considerations of the local stretching properties of the flow lead to a partition function which yields the dimension spectra of the resulting fractal measure. Fractal structure is a result of the nonuniform stretching of typical chaotic flows.
- Research Organization:
- Laboratory for Plasma Research, and Departments of Electrical Engineering and of Physics and Astronomy, University of Maryland, College Park, Maryland 20742
- OSTI ID:
- 6861205
- Journal Information:
- Phys. Rev. Lett.; (United States), Journal Name: Phys. Rev. Lett.; (United States) Vol. 61:25; ISSN PRLTA
- Country of Publication:
- United States
- Language:
- English
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