7 papers
Liquid bridges between horizontal cylinders: effects of gravity and electric fields
Agnes J. Bokányi-Tóth, Andrew J. Archer, Radu Cimpeanu +3
Liquid bridges suspended between two parallel horizontal cylinders are studied using experiments, reduced-order mathematical modelling and numerical simulations. Both non-electrifi…
Variational approach to droplet motion on uneven solid surfaces, including contact line dynamics and evaporation
Gyula I Tóth, David N Sibley, Agnes J Bokányi-Tóth +2
We show how dynamical equations for liquid films and drops on uneven surfaces, including contact line dynamics and evaporation/condensation effects, may be formulated as a variatio…
Boussinesq-Klein-Gordon and Ostrovsky equations: evolution of cnoidal waves with local defects
Korsarun Nirunwiroj, Dmitri Tseluiko, Karima Khusnutdinova
The Boussinesq-Klein-Gordon (BKG) equation has emerged in the studies of nonlinear bulk strain waves in layered solid waveguides. The developed bi-directional weakly-nonlinear solu…
Solitary waves of moderate amplitude and dispersive radiation in the Serre equations: the extended KdV-Whitham approximation
Benjamin Martin, Dmitri Tseluiko, Karima Khusnutdinova
We consider the extended Korteweg-de Vries (eKdV) equation as a model for long moderately nonlinear surface water waves and use it to describe the evolution of initial conditions g…
Evolution of perturbed long nonlinear plane, ring and hybrid surface waves
Benjamin Martin, Dmitri Tseluiko, Karima Khusnutdinova
The two-dimensional evolution of perturbed long weakly-nonlinear surface plane, ring, and hybrid waves, consisting, to leading order, of a part of a ring and two tangent plane wave…
Evolution of internal cnoidal waves with local defects in a two-layer fluid with rotation
Korsarun Nirunwiroj, Dmitri Tseluiko, Karima Khusnutdinova
Internal waves in a two-layer fluid with rotation are considered within the framework of Helfrich's f-plane extension of the Miyata-Maltseva-Choi-Camassa (MMCC) model. Within the s…