Although the Hydraulic Toolbox primarily functions as a stand-alone program, recent advances in the Surface-water Modeling System (SMS), another FHWA-sponsored hydraulics software program that performs

two-dimensional flow analyses, have streamlined bridge scour calculations.

The viscous dissipation for a

two-dimensional flow of a power-law fluid has been analyzed by means of numerical methods [26].

Thullner compared and analyzed the experimental results of bioclogging in one-dimensional and

two-dimensional flow fields and simulated the results under different porosity [25].

We utilized the spacetime coordinate system to model the transient

two-dimensional flow in unsaturated soil.

"Laminar Flow over a Downstream-Facing Step in a

Two-Dimensional Flow Channel" Transport Institute Chemical Engineers, 52: 361-367.

Especially for

two-dimensional flow, the interesting point of view is the fact that the angular velocity coming from Coriolis force comes into play just as a shift of vorticity vector.

Finally, two radial flow fields are applied to synthesize

two-dimensional flow pattern.

A constant suction velocity at the wall leads to

two-dimensional flow [2]; however, due to variation of suction velocity in transverse direction on wall, the problem becomes three-dimensional.

Numerical simulation of the

two-dimensional flow in high pressure catalytic combustor for gas turbine.

To support this conjecture, Williams used a numerical model of a shallow,

two-dimensional flow of uniform density on a spherical surface.

Using previously obtained relations (13), (14) and introducing the variable [xi] = [X.sub.0]/L, we have for

two-dimensional flow