The present review deals with the effects of topography and inertia on gravity-driven film
flows. The article is organized like a rope ladder, with the rungs of topography and inertia …

Pulsating non-Newtonian flow in a corrugated channel was studied by using the Lattice
Boltzmann Method (LBM) and utilizing the Boundary Fitting Method (BFM). A wide range of …

The use of potential fields in fluid dynamics is retraced, ranging from classical potential
theory to recent developments in this evergreen research field. The focus is centred on two …

A perturbation analysis is carried out to the second order to give effective equations for
Darcy–Brinkman flow through a porous channel with slightly corrugated walls. The flow is …

In this paper, we present experimental results on the linear instability of gravity-driven
viscous films flowing down a strongly undulated incline. To systematically investigate the …

The present article contributes detailed experimental results on the linear stability of gravity-
driven viscous films flowing down periodically corrugated inclines. We asymptotically left the …

We consider viscous gravity-driven films flowing over undulated substrates. Instead of the
widely studied direct problem of finding the free surface for a given bottom topography, we …

We consider a thin film of a power-law liquid flowing down an inclined wall with sinusoidal
topography. Based on the von Kármán–Pohlhausen method an integral boundary-layer …

We study inertial film flow down undulated inclines. With increasing Reynolds number,
eddies are formed in the troughs of the bottom undulation. Further increase leads to a …

In our experimental study on the linear stability of gravity-driven films flowing over inclined
topographies, we consider a fundamental question: does the topography's specific shape …