The strain rate from Navier-Stokes equation
is approximately 49 percent greater than that from Reynolds theory at step tip and too strong to be omitted.
A fully correct transport (FCT) method was used to solve the full compressible Navier-Stokes equation
. Flow patterns were shown to strongly correlate to the rapidity of the wall heating process.
Internal waves are generated through the interaction between the tidal flow and the topography in a nonuniform fluid layer by solving the Navier-Stokes equation
in Boussinesq approximation.
Let us consider the homogeneous Navier-Stokes equation
 proposed a generalized Navier-Stokes equation
for isothermal incompressible flow in porous media, which ignores the detailed structure of the porous media by including an additional term to account for the presence of a porous medium.
High-resolutions for incompressible Navier-Stokes equation
and a multi-grid method, J.
The NWF can simulate a free-surface flow, the governing equation of which is Navier-Stokes equation
. In case of an incompressible Newtonian viscous fluid, continuity equation and Navier-Stokes equation
are as follows:
The numerical solution of the viscous flow problem for material flow in the 2[theta] angular ECAE die AOC-BED requires the formulation of a boundary value problem (Appendix A) for the Navier-Stokes equation
in the curl (vorticity) transfer form (1)-(2) for [mathematical expression not reproducible], where [zeta] = [partial derivative]u/[partial derivative]y - [partial derivative]v/[partial derivative]x (Figures 6(c), 6(d), 7(c), 7(d), 8(c), and 8(d)).
The solution of the fluid side is based on the continuity equation and the Navier-Stokes equation
. The Navier-Stokes equation
, written in Einstein summation convention, is given by (1):
Non-Newtonian fluids are the most widely occurring fluids in industry and engineering and its governing equations are highly nonlinear as compared to the Navier-Stokes equation
. Non-Newtonian fluids are complex in nature because their rheological properties are involved as "parameters" in the constitutive equation.
Soltanov: On some modification Navier-Stokes equation
, Nonlinear Anal., 52(2003), No.
Fully nonlinear potential flow (FNPF) and incompressible Navier-Stokes equation
are common governing equations that are used for simulation of the periodic wave interactions in the coastal zone.