On MHD flow of an incompressible viscous fluid

MHD Flow of an Incompressible Viscous Fluid through Convergent or Divergent Channels in Presence of a High Magnetic Field

The flow of an incompressible electrically conducting viscous fluid in convergent or divergent channels under the influence of an externally applied homogeneous magnetic field is studied both analytically and numerically. Navier-Stokes equations of fluid mechanics and Maxwell’s electromagnetism equations are reduced into highly non-linear ordinary differential equation. The resulting non-linear...

Nested Cartesian grid method in incompressible viscous fluid flow

Article history: Received 15 January 2009 Received in revised form 16 April 2010 Accepted 28 May 2010 Available online 8 June 2010

Motion of an Elastic Solid inside an Incompressible Viscous Fluid

The motion of an elastic solid inside an incompressible viscous fluid is ubiquitous in nature. Mathematically, such motion is described by a PDE system that couples the parabolic and hyperbolic phases, the latter inducing a loss of regularity which has left the basic question of existence open until now. In this paper, we prove the existence and uniqueness of such motions (locally in time), whe...

Mathematical models of turbulent motion of an incompressible viscous fluid

Approximate analytical solutions of MHD flow of a viscous fluid on a nonlinear porous shrinking sheet

The paper presents the semi-numerical solution for the magnetohydrodynamic (MHD) flow due to nonlinear porous shrinking sheet caused by boundary layer of an incompressible viscous flow. The governing partial differential equations of momentum equations are reduced into ordinary differential equation by using a classical similarity transformation along with appropriate boundary conditions. Both ...