The linear stability analysis of a fluid flow down a slippery inclined plane is carried out when
the free surface of the fluid is contaminated by a monolayer of insoluble surfactant. The aim …

The linear stability of two-layer channel flows in the presence of bulk-soluble surfactants is
investigated here, taking into account the rheological properties of the interface. The …

We examine the linear thermocapillary instability of a two-dimensional gravity-driven shear-
imposed incompressible viscous film flowing over a uniformly heated inclined wall when the …

The linear hydrodynamic stability of a film of viscoelastic fluid flowing down an inclined wavy
surface is studied. We investigate the stability of the flow with respect to infinitesimal two-and …

The linear stability of Couette–Poiseuille flow of two superposed fluid layers in a horizontal
channel is considered. The lower fluid layer is populated with surfactants that appear either …

Investigated in this paper is the stability of the gravity-driven flow of a liquid layer laden with
soluble surfactant down a heated incline. A mathematical model incorporating variations in …

Gravity-driven film flow of aqueous solutions of SDS is studied experimentally and the
evolution of small-amplitude, regular inlet disturbances is investigated. With the addition of …

The role of wall-slip on the soluto-Marangoni instability that emerges in a two-fluid creeping
two-dimensional Poiseuille flow is assessed within the framework of Orr-Sommerfeld …

We consider gravity-driven fluid flow down a wavy inclined surface in the presence of
surfactant. The periodicity of the bottom topography allows us to leverage Floquet theory to …

The stability of a thin falling film with both surface elasticity and surface viscosities induced
by insoluble surfactants on its free surface is studied. Based on the full Navier–Stokes …