This article is concerned with the analytic solution for a nonlinear flow problem of an incompressible viscous fluid. The fluid is taken in a channel having two weakly permeable moving porous walls. An incompressible fluid fills the porous space inside the channel. The fluid is magnetohydrodynamic in the presence of a time-dependent magnetic field. Lie group method is applied in the derivation ...

In this paper we have studied the unsteady flow of an electrically conducting viscous, incompressible dusty fluid flowing between two oscillating plates. The fluid is acted upon by a constant magnetic field perpendicular to the plates. Exact velocities of fluid and dust particles are derived by using differential geometry techniques and Laplace transforms. AMS Mathematics Subject Classification...

The entropy generation during hydromagnetic boundary layer flow of a viscous incompressible electrically conducting fluid due to radial stretching sheet with Newtonian heating in the presence of a transverse magnetic field and the thermal radiation has been analyzed. The governing equations are then solved numerically by using the fourth order Runge-Kutta method with shooting technique. The eff...

The present paper analyzes the MHD effects on the steady free convective boundary layer flow of a viscous incompressible fluid over a linearly moving porous vertical semi-infinite plate with suction and viscous dissipation. The governing boundary layer equations are reduced to a two-point boundary value problem using similarity transformations. The resultant problem is solved numerically using ...

The purpose of this paper is to study a model coupling an incompressible viscous fluid with an elastic structure in a bounded container. We prove the existence of weak solutions “à la Leray” as long as no collisions occur.

We prove instability of a part of a branch of viscous incompressible fluid flows induced by a shrinking sheet. These flows are exact solutions of the Navier-Stokes equation.

Low frequency pulsatile flow of an incompressible viscous fluid has been numerically investigated in a rigid 90° bend of circular cross-section, using the finite-volume method. The governing parameters are as follows : amplitude ratio of 1.25, Womersley

The paper is the study of the incompressible, two directional, steady elastico-viscous nonNewtonian fluid with porous walls. An analytic solution to the problem is obtained, using the homotopy perturbation method.

We study regularity of viscous incompressible fluid flows in a 2D channel with “do nothing” outflow boundary condition on the output for the steady Stokes and Navier–Stokes equations. Mathematics Subject Classification (2000). 35Q30; 74G55; 74G20.