A three-dimensional description of solitary waves and their interaction in Marangoni–Bénard layers
- 1 January 1994
- journal article
- Published by AIP Publishing in Physics of Fluids
- Vol. 6 (1), 187-198
- https://doi.org/10.1063/1.868081
Abstract
A dissipation‐modified Boussinesq‐like system of equations governing three‐dimensional long wavelength Marangoni–Bénard oscillatory convection in a shallow layer heated from the air side is presented. Solitary waves and their oblique and head‐on interactions are considered, thus leading to results that compare well with available experimental data.Keywords
This publication has 14 references indexed in Scilit:
- Wall reflections of solitary waves in Marangoni–Bénard convectionPhysics of Fluids A: Fluid Dynamics, 1993
- Nonlinear surface-wave excitations in the Bénard-Marangoni systemPhysical Review A, 1992
- The Eckhaus instability for traveling wavesPhysica D: Nonlinear Phenomena, 1992
- Dissipative Korteweg–de Vries description of Marangoni–Bénard oscillatory convectionPhysics of Fluids A: Fluid Dynamics, 1991
- Localized Structures and Solitary Waves Excited by Interfacial StressesPublished by Springer Nature ,1991
- Korteweg–de Vries soliton excitation in Bénard-Marangoni convectionPhysical Review A, 1991
- Onset of possible solitons in surface tension-driven convectionPhysica Scripta, 1991
- Science and the CitizenScientific American, 1980
- Convective instability: A physicist's approachReviews of Modern Physics, 1977
- Obliquely interacting solitary wavesJournal of Fluid Mechanics, 1977