Monte Carlo Calculation of Channel Fluid Flow

The utilization of Monte Carlo methods for computing 2 and 3 dimensional viscous flow in channels of irregular cross-section is currently being investigated. Part of our research includes the development of an algorithm for channels with constant cross-section. The calculated fluid permeabilities and velocity values compare favorably for shapes where analytical or numerical (finite element method) results are available. The method is intended for use in obtaining approximate answers for geometries where finite element methods would be difficult to apply. Understanding the relationship between channel geometry and permeability is important in the control and design of injection mold and related manufacturing processes.

Figure 1 illustrates the velocity contour for a rectangular channel with cylindrical holes.

Figure 2 depicts the location of non-zero fluid velocity for a channel with fractal cross-section.

Figure 3 displays the velocity profile (height) of a simple cross-section. The Monte Carlo calculation is represented by the colored surface and the finite element solution is shown in white.

Contacts:
	Fern Hunt (NIST/MCSD/MMG)
	Jack Douglas (Polymers Division)