Traveling Waves in Two-Dimensional Plane Poiseuille Flow

Effect of Variable Thermal Conductivity and the Inclined Magnetic Field on MHD Plane Poiseuille Flow in a Porous Channel with Non-Uniform Plate Temperature

The aim of this paper is to investigate the effect of the variable thermal conductivity and the inclined uniform magnetic field on the plane Poiseuille flow of viscous incompressible electrically conducting fluid between two porous plates Joule heating in the presence of a constant pressure gradient through non-uniform plate temperature. It is assumed that the fluid injection occurs at lower pl...

Magnetohydrodynamic (MHD ) Plane Poiseuille Flow With Variable Viscosity and Unequal Wall Temperatures

Unstable manifolds computation for the two-dimensional plane Poiseuille flow

In this work we study some aspects of the dynamics of the plane Poiseuille problem in dimension 2, in what refers to the connection among different configurations of the flow. The fluid is confined in a channel of plane parallel walls. The problem is modeled by the incompressible Navier-Stokes equations

On the role of vortex stretching in energy optimal growth of three-dimensional perturbations on plane parallel shear flows

The three-dimensional linearized optimal energy growth mechanism, in plane parallel shear flows, is re-examined in terms of the role of vortex stretching and the interplay between the spanwise vorticity and the planar divergent components. For high Reynolds numbers the structure of the optimal perturbations in Couette, Poiseuille and mixing-layer shear profiles is robust and resembles localized...

A mechanism for streamwise localisation of nonlinear waves in shear flows

We present the complete unfolding of streamwise localisation in a paradigm of extended shear flows, namely, two-dimensional plane-Poiseuille flow. Exact solutions of the Navier-Stokes equations are computed numerically and tracked in the streamwise wavenumber Reynolds number parameter space to identify and describe the fundamental mechanism behind streamwise localisation, a ubiquitous feature o...