Curvilinear Coordinates and Physical Components: An Application to the Problem of Viscous Flow and Heat Transfer in Smoothly Curved Ducts

[+] Author and Article Information
C. J. Bolinder

Division of Fluid Mechanics, Lund Institute of Technology, Box 118, 22100 Lund, Sweden

J. Appl. Mech 63(4), 985-989 (Dec 01, 1996) (5 pages) doi:10.1115/1.2787256 History: Received January 30, 1995; Revised March 11, 1996; Online October 26, 2007


Expressions are derived for the gradient, divergence, Laplacian, curl, and material time derivative in terms of general curvilinear coordinates using physical components of all vector quantities. The results are conveniently expressed in terms of two new coefficients, involving physical and reciprocal base vectors. An application to the problem of viscous flow and heat transfer in arbitrarily smoothly curved ducts is presented. In particular, helical ducts are considered.

Copyright © 1996 by The American Society of Mechanical Engineers
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