NONLINEAR DIFFUSION PROCESS IN A BENARD SYSTEM AT THE CRITICAL-POINT FOR THE ONSET OF CONVECTION

Authors
KRAENKEL RA KURCBART SM PEREIRA JG MANNA MA
Citation
Ra. Kraenkel et al., NONLINEAR DIFFUSION PROCESS IN A BENARD SYSTEM AT THE CRITICAL-POINT FOR THE ONSET OF CONVECTION, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 47(5), 1993, pp. 3303-3306
Citations number
16
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
47
Issue
5
Year of publication
1993
Pages
3303 - 3306
Database
ISI
SICI code
1063-651X(1993)47:5<3303:NDPIAB>2.0.ZU;2-7
Abstract
The evolution equation governing surface perturbations of a shallow fl uid heated from below at the critical Rayleigh number for the onset of convective motion, and with boundary conditions leading to zero criti cal wave number, is obtained. A solution for negative or cooling pertu rbations is explicitly exhibited, which shows that the system presents sharp propagating fronts.