Navier-Stokes equations

In recent years there has been a great deal of interest in understanding the fundamental behaviour of granular materials. Granular materials are ubiquitous in natural and industrial settings however, their flow behaviour cannot be described using classical ideas of fluid flows a…

Control of the transition of laminar flow to turbulence would result in lower drag and reduced energy consumption in many engineering applications. A spectral state-space model of linearised plane Poiseuille flow with wall transpiration ac¬tuation and wall shear measurements is …

In this work a numerical method is presented to model the electrohydrodynamics of a three-dimensional vesicle. The objective of this study is to develop robust numerical algorithms to solve the physical governing equations of the vesicle in the presence of fluid flow and DC elec…

In this work we consider a coupled partial differential equation (PDE) model which has appeared in the literature to model various fluid-structure interactions seen in nature. It has been recently shown that this fluid-structure interactive PDE model admits of an explicit semigr…