An Isaac Newton Institute Workshop

Pattern Formation in Fluid Mechanics

Instabilities in a non-homogeneously heated fluid

Authors: Ana Maria Mancho (Department of Mathematics, Instituto de Matematicas y Fisica Fundamental, CSIC, Madrid, Spain), Maria Cruz Navarro (Department of Mathematics, Universidad de Castilla-La Mancha, Ciudad Real, Spain), Henar Herrero (Department of Mathematics, Universidad de Castilla-La Mancha, Ciudad Real, Spain)

Abstract

We present results on the instabilities that appear in a fluid which is in a cylindrical container when a localized heating around the origin is applied at the bottom. The instability is due either to buoyant effects with radial gravity or to surface tension effects. In particular we discuss bifurcations that appear for different heat related parameters at finite Prandtl number.