Effects of a temperature dependent viscosity in surface nonlinear waves propagating in a shallow fluid heated from below

Kraenkel, Roberto André [UNESP]Kurcbart, S. M. [UNESP]Pereira, J. G. [UNESP]Manna, M. A.2014-05-272014-05-271992-09-28Physics Letters A, v. 169, n. 4, p. 259-262, 1992.0375-9601http://hdl.handle.net/11449/64265The effects of a temperature dependent viscosity in surface nonlinear waves propagating in a shallow fluid heated from below are investigated. It is shown that the (2+1)-dimensional Burgers equation may appear as the equation governing the upper free surface perturbations of a Bénard system, even when the viscosity is assumed to depend on temperature. The critical Rayleigh number for the appearance of waves governed by the Kadomtsev-Petviashvili equation, however, will be smaller than R=30, which is the critical number obtained for a constant viscosity. © 1992.259-262engEffects of a temperature dependent viscosity in surface nonlinear waves propagating in a shallow fluid heated from belowArtigo10.1016/0375-9601(92)90455-UWOS:A1992JQ00100007Acesso restrito2-s2.0-440491128771599966126072450