We present an experimental study of the velocity circulation in a quasi-two-dimensional
turbulent flow. We show that the area rule of circulation around simple loops holds in both …

Two-dimensional fluid flow is often approximated in the laboratory with thin
electromagnetically forced fluid layers. The faithfulness of such an experimental model must …

We derive the one-dimensional optimal system for a system of three partial differential
equations, which describe the two-dimensional rotating ideal gas with polytropic parameter …

We present a combined experimental and theoretical study of the primary and secondary
instabilities in a Kolmogorov-like flow. The experiment uses electromagnetic forcing with an …

The dimensionality of turbulence in fluid layers determines their properties. We study
electromagnetically driven flows in finite-depth fluid layers and show that eddy viscosity …

In this article, we discuss flows in shallow, stratified horizontal layers of two immiscible fluids.
The top layer is an electrolyte which is electromagnetically driven and the bottom layer is a …

We present the Lie symmetry analysis for a hyperbolic partial differential system known as
the one-dimensional Saint-Venant-Exner model. The model describes shallow-water …

Mesoscale vortices are major carriers of oceanic material and energy transfer, transporting
large amounts of high-energy, temperature-anomalous water bodies during their movement …

We present a combination of experiment, theory, and modelling on laminar mixing at large
Péclet number. The flow is produced by oscillating electromagnetic forces in a thin …

Numerical simulations and analysis of flow and heat transfer of an electrically conducting
fluid past magnetic obstacles are reported. We studied the channel flow configuration with …