1.
Phys Rev E Stat Nonlin Soft Matter Phys
; 64(2 Pt 2): 027303, 2001 Aug.
Artículo
en Inglés
| MEDLINE
| ID: mdl-11497750
RESUMEN
Bénard-Marangoni convection at large Prandtl numbers is found to exhibit steady (nonturbulent) behavior in numerical experiments over a very wide range of Marangoni numbers Ma far away from the primary instability threshold. A phenomenological theory, taking into account the different character of thermal boundary layers at the bottom and at the free surface, is developed. It predicts a power-law scaling for the nondimensional velocity (Peclet number) and heat flux (Nusselt number) of the form Pe approximately Ma(2/3), Nu approximately Ma(2/9). This prediction is in good agreement with two-dimensional direct numerical simulations up to Ma=3.2 x 10(5).