A general methodology and applications for conduction-like flow-channel design.

Technical Report · Sun Feb 01 04:00:00 EST 2004

DOI:https://doi.org/10.2172/921605· OSTI ID:921605

Cummings, Eric B; Fiechtner, Gregory J

A novel design methodology is developed for creating conduction devices in which fields are piecewise uniform. This methodology allows the normally analytically intractable problem of Lagrangian transport to be solved using algebraic and trigonometric equations. Low-dispersion turns, manifolds, and expansions are developed. In this methodology, regions of piece-wise constant specific permeability (permeability per unit width) border each other with straight, generally tilted interfaces. The fields within each region are made uniform by satisfying a simple compatibility relation between the tilt angle and ratio of specific permeability of adjacent regions. This methodology has particular promise in the rational design of quasi-planar devices, in which the specific permeability is proportional to the depth of the channel. For such devices, the methodology can be implemented by connecting channel facets having two or more depths, fabricated, e.g., using a simple two-etch process.

• Research Organization: Sandia National Laboratories
• Sponsoring Organization: USDOE
• DOE Contract Number: AC04-94AL85000
• OSTI ID: 921605
• Report Number(s): SAND2004-8032
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
DESIGN
Electrostatics.
FLOWMETERS
FLUID FLOW
Flow measurement.
LAGRANGIAN FUNCTION
Lagrangian functions.
PERMEABILITY
Transport theory-Mathematical models.