We study the stability of weakly viscoelastic film (Walter's B ″) flowing down under gravity
along a slippery inclined plane. The focus is to investigate the interaction of the bottom slip …

Falling liquid films are examples of open flows which undergo a sequence of supercritical
instabilities giving way to a spatio-temporal weak disorder organized around interfacial …

A power-law fluid flowing down a slippery inclined plane under the action of gravity is
deliberated in this research work. A Newtonian layer at a small strain rate is introduced to …

In the present work, within the framework of thin film theory, we delineate the interaction
between the interfacial dynamics of thermal Marangoni flow and non-Newtonian rheology by …

We investigate the linear stability of a flow down an incline when the fluid is modeled as a
regularized Bingham-like fluid, ie, a material whose constitutive equation is smoothed out …

In this paper we derive consistent shallow-water equations for the flow of thin films of power-
law fluids down an incline. These models account for the streamwise diffusion of momentum …

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 …

In this paper we report on our investigation of the instability of a liquid layer flowing along a
heated inclined plane. We develop and implement a theoretical model with a power-law …

In this paper, we apply the normal modes method to study the linear stability of a liquid film
flowing down an inclined plane, taking into account the complex rheology of the media. We …

Squire's theorem, which states that the two-dimensional instabilities are more dangerous
than the three-dimensional instabilities, is revisited here for a flow down an incline, making …