Stability of non-isothermal fluids (Review) | Journal of Applied Mechanics and Technical
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The stability of an evaporating thin liquid film on a solid substrate is investigated within
lubrication theory. The heat flux due to evaporation induces thermal gradients; the …

The dynamics and stability of thin liquid films have fascinated scientists over many decades.
Thin film flows occur over a wide range of length scales and are central to numerous areas …

A gravity-driven, thin, incompressible liquid film flow on a non-uniformly heated, slippery
inclined plane is considered within the framework of the long-wave approximation method. A …

The flow of a thin Newtonian fluid layer on a porous inclined plane is considered. Applying
the long-wave theory, a nonlinear evolution equation for the thickness of the film is obtained …

The present theoretical study focuses on the dynamics of a thin liquid film falling down a
vertical plate with a nonuniform, sinusoidal temperature distribution. The results are …

The Benney equation including thermocapillary effects is considered to study a liquid film
flowing down a homogeneously heated inclined wall. The link between the finite-time blow …

Thermocapillary instability and formation of waves for a thin viscous falling film with broken
time-reversal-symmetry have been discussed in this present study. The film is flowing over a …

We investigate the stability of a gravity-driven, thin, Newtonian liquid flowing on a uniformly
heated slippery inclined plane. We construct a mathematical model of the flow that …

The stability and dynamics of a gravity-driven, viscous, Newtonian, thin liquid film with
broken time-reversal symmetry draining down a nonuniformly heated inclined plane in the …