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 elbow duct whose cross section remains constant between terminals of elliptical and circular cross sections.
Issue Section:
Technical Briefs
1.
Hoschek
, J.
, and Lasser
, D.
, 1993, Fundamentals of Computer-aided Geometric Design
, A. K. Peters Co., Wellesey
, MA.2.
Lee
, Y. T.
, and Fang
, L.
, 2000, “Accurate Modeling of Complex Functional Surfaces for Mechanical Design using Freeform Surfaces
,” J. Mech. Des.
1050-0472 122
, pp. 236
–239
.3.
Xia
, J.
, and Ge
, Q. J.
, 2001, “On the Exact Representation of the Boundary Surfaces of the Swept Volume of a Cylinder Undergoing Rational B [e-acute] zier and B-Spline Motion
,” J. Mech. Des.
1050-0472 123
, pp. 261
–265
.5.
Smail
, L. L.
, 1949, Calculus
, Appleton-Century-Crofts
, New York.6.
Wolfram
, S.
, 1999, The Mathematica Book, Version 4
, Wolfram Media, Cambridge University Press
, New York.Copyright © 2005
by American Society of Mechanical Engineers
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