RT info:eu-repo/semantics/article
T1 Uniform estimates on the velocity in Rayleigh–Bénard convection
A1 Núñez Jiménez, Manuel
K1 Thermal diffusion
K1 Thermodynamic states and processes
K1 Algebraic geometry
K1 Probability theory
K1 Computer simulation
K1 Boundary integral methods
K1 Flow instabilities
K1 Mathematical modeling
K1 Boussinesq approximation
K1 Newtonian mechanics
AB The kinetic energy of a fluid located between two plates at different temperatures is easily bounded by classical inequalities. However, experiments and numerical simulations indicate that when the convection is turbulent, the volume of the domains in which the speed is large, is rather small. This could imply that the maximum of the speed, in contrast with its quadratic mean, does not admit an a priori upper bound. It is proved that, provided the pressure remains bounded, a uniform estimate for the speed maximum does indeed exist, and that it depends on the maxima of certain ratios between temperature, pressure, and velocity.
PB American Institute of Physics
SN 0022-2488
YR 2005
FD 2005
LK http://uvadoc.uva.es/handle/10324/39596
UL http://uvadoc.uva.es/handle/10324/39596
LA eng
NO Journal of Mathematical Physics 46, 033102 (2005)
NO Producción Científica
DS UVaDOC
RD 22-nov-2024