A falling film of a weakly viscoelastic liquid (Walters' liquid B′′) is studied in detail for low
to moderate values of the Reynolds number. A linear stability analysis within the framework …

We conduct direct numerical simulations (DNS) to study the temporal and spatial
developments of the roll waves on a laminar sheet flow of Newtonian fluid. The DNS unveil …

In this paper, we present a comprehensive study of the fingering phenomenon of a power-
law non-Newtonian fluid falling down a cylinder surface. A theoretical analysis is firstly …

We derive a model for Bingham fluid flows down an inclined plane with a consistent
asymptotic method in the shallow-flow approximation. The variables are expanded up to the …

We derive a new model for thin viscous liquid films down an inclined plane. With an
asymptotic expansion in the long-wave limit, the Navier–Stokes equations and the work …

This paper presents mathematical modelling and simulation of thin free-surface flows of
viscoplastic fluids with a Herschel–Bulkley rheology over complex topographies with basal …

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 …

The study of the interaction of mud-flows with obstacles is important to define inundation
zones in urban areas and to design the possible structural countermeasures. The paper …

We develop a multilayer model to study roll waves in mudflow of Herschel–Bulkley fluids
initiated by periodic and localized disturbance. Simulations are conducted of the temporal …