C. Abid et F. Papini, THERMAL INSTABILITIES IN A MIXED CONVECTION PHENOMENON - NONLINEAR DYNAMICS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 56(6), 1997, pp. 6735-6744
The influence of mixed convection due to buoyancy for a flow in a unif
ormly heated horizontal duct is a well-known phenomenon. Experimentall
y the overall effect of the heating is characterized by a temperature
difference between the top and bottom of a cross section. An increase
in the average velocity of the fluid or the heating power leads to an
instability phenomenon which manifests itself through the appearance o
f large-amplitude temporal fluctuations in temperature. The amplitude
of these fluctuations depends on their position in the test section, t
he heat flux supplied to the wall and the fluid velocity. The aim of t
his paper is to describe these thermal instabilities, and to simulate
them utilizing a low-dimension model which shows the nonlinear dynamic
of the system.