Dimensional Unsteady Navier-Stokes Equations Research Articles

LIE GROUP ANALYSIS OF THE NAVIER-STOKES EQUATIONS IN THE POLAR CO-ORDINATES

The equations of motion of two dimensional unsteady Navier-Stokesequations for viscous incompressible flow are written in polarco-ordinates. By employing Lie theory, the full one-parameterinfinitesimal transformation group leaving the equations of motioninvariant is derived along with its associated Lie algebra.Subgroups of the full group are then used to obtain a reduction byone in the number of independent variable in the system. Thesereductions are continued until a system of ordinary differentialequations is reached. An exact and a series type approximatesolutions of these ordinary differential equations are obtainedwhich lead to an exact and a series type approximate solutions in$ R^2 \setminus\{0\} $ to momentum equations.

Simulation of Pulsatile Flow of Blood in Stenosed Coronary Artery Bypass with Graft

In this paper, we investigate the behavior of the pulsatile blood flow in a stenosed right coronary artery with a bypass graft. The human blood is assumed to be a non-Newtonian fluid and its viscous behavior is described by the Carreau model. The transient phenomena of blood flow though the stenosed region and the bypass grafts are simulated by solving the three dimensional unsteady Navier-Stokes equations and continuity equation. The influence of the bypass angle on the flow interaction between the jet flow from the native artery and the flow from the bypass graft is investigated. Distributions of velocity, pressure and wall shear stresses are determined under various conditions. The results show that blood pressure in the stenosed artery drops dramatically in the stenosis area and that high wall shear stresses occur around the stenosis site.

Dopant inhomogeneities due to convection in microgravity: Spatial effects

Spatial structure of thermal convection, onset of the secondary flows and concentration inhomogeneities induced by thermal convection in a parellelipiped are investigated on the basis of three dimensional unsteady Navier-Stokes equations for Boussinesq approach using direct numerical simulation as well as stability analysis.