Smooth Mixed Geometry Profiles of Nozzles and Transition Ducts

[+] Author and Article Information
James F. Wilson

Pratt School of Engineering,  Duke University, 6319 Mimosa Dr., Chapel Hill, NC 27514jwilson@duke.edu

J. Mech. Des 127(6), 1211-1213 (Jan 29, 2005) (3 pages) doi:10.1115/1.1913704 History: Received August 25, 2004; Revised January 29, 2005

Parametric equations are derived that characterize smooth surface profiles for two general classes of nozzles and nonbranching transition ducts: straight sections for axial flow and curved sections (elbows) for in-plane or out-of-plane flow. For each profile, the terminal cross sections are specified as rectangular, elliptical, circular, or a combination of those shapes. At each terminal and in line with the flow, the displacement, slope, and curvature with its respective intersecting uniform section is maintained. Included is a design example of a 90deg elbow duct whose cross section remains constant between terminals of elliptical and circular cross sections.

Copyright © 2005 by American Society of Mechanical Engineers
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Figure 1

A half-view of three planes of the straight transition profile element. The element is composed of rectangular and elliptical cross sections, and the profile shown is symmetric with respect to the planes X=0 and Y=0.

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Figure 2

An isometric view of the elbow transition element composed of rectangular and elliptical cross sections, showing rotations θ and φ. If φ=0, the profile is symmetric with respect to the plane Y=0.

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Figure 3

(a) Clothes dryer duct with a transition from a circular to a near elliptical cross section, manufactured by Deflecto Corp., Ontario, Canada; (b) top half of the computed design analogous to the commercial design (a), in which the cross sectional area is constant throughout.



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