Three-dimensional Marangoni–Bénard flows in square and nearly square containers
نویسنده
چکیده
Numerical continuation is used to follow branches of steady solutions to the three-dimensional Marangoni–Bénard problem in a zero gravity environment. The upper surface of the fluid is heated by a constant heat flux while the bottom is maintained at a constant temperature. Instability arises due to temperature-dependent surface tension effects but surface deflection is ignored. Containers with square and nearly square cross sections and no-slip boundary conditions are analyzed, and the results interpreted in terms of predictions from equivariant bifurcation theory. © 2001 American Institute of Physics. @DOI: 10.1063/1.1329905#
منابع مشابه
Oscillatory Marangoni convection in binary mixtures in square and nearly square containers
Three-dimensional simulations of oscillatory convection in binary mixtures driven by the Marangoni effect have been performed. The upper surface of the fluid is heated by a constant heat flux while the bottom is maintained at a constant temperature. Surface deflection is ignored. Oscillations are the result of concentration-induced changes in the surface tension due to the presence of an anomal...
متن کاملBénard-Marangoni thermal oscillators: An experimental study
An experimental study of time-dependent Bénard-Marangoni convection in small aspect ratio containers and high Prandtl number fluids is presented. Two similar systems with the same aspect ratio, depth, and type of fluid are compared: one with adiabatic lateral boundaries and the other with open boundaries. In spite of the fact that very different plan forms and flows appear, both systems exhibit...
متن کاملTransition to chaos in a confined two-dimensional fluid flow.
For a two-dimensional fluid in a square domain with no-slip walls, new direct numerical simulations reveal that the transition from steady to chaotic flow occurs through a sequence of various periodic and quasiperiodic flows, similar to the well-known Ruelle-Takens-Newhouse scenario. For all solutions beyond the ground state, the phenomenology is dominated by a domain-filling circulation cell, ...
متن کاملBénard-Marangoni convection in square containers.
D. Krmpotić, 1 G. B. Mindlin, 2 and C. Pérez-Garcı́a 3 Departamento de Fı́sica, Universidad Nacional de La Plata, La Plata, Argentina Departamento de Fı́sica, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, Pab. I, Código Postal 1428, Buenos Aires, Argentina Departamento de Fı́sica y Matemática Aplicada, Facultad de Ciencias, Universidad de Navarra, 31080 Pamplona, Navarra, Spain ~R...
متن کاملSimulation of three-dimensional Bénard-Marangoni flows including deformed surfaces
We present a coupled thermal-fluid model for Bénard-Marangoni convection in a three-dimensional fluid layer. The governing equations are derived in detail for two reasons: first, we do not assume a flat free surface as commonly done; and second, we prepare for the use of flexible discretizations. The governing equations are discretized using spectral elements in space and an operator splitting ...
متن کامل