An integral method is developed for the three-dimensional, nonboundary-layer flow which occurs for laminar, radially inward through-flow of an incompressible Newtonian fluid between parallel corotating disks. The method is a forward-stepping procedure which forces satisfaction of integrals of the governing differential equations, plus boundary conditions, plus the governing differential equations at every radius. The velocity components are represented by polynomials of order N; the method is extendable with extraordinary ease to any value of N. It is reported that, with N = 8, the results agree very closely with results earlier obtained by a conventional finite-difference method and which agree with experiment. It is pointed out that the method presented is extremely conservative of computational time and might be adapted to many other problems.
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September 1971
This article was originally published in
Journal of Basic Engineering
Research Papers
Integral Method for Flow Between Corotating Disks
B. E. Boyack,
B. E. Boyack
Gulf General Atomic, San Diego, Calif.
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W. Rice
W. Rice
Mechanical Engineering, Arizona State University, Tempe, Ariz.
Search for other works by this author on:
B. E. Boyack
Gulf General Atomic, San Diego, Calif.
W. Rice
Mechanical Engineering, Arizona State University, Tempe, Ariz.
J. Basic Eng. Sep 1971, 93(3): 350-354 (5 pages)
Published Online: September 1, 1971
Article history
Received:
June 3, 1970
Online:
October 27, 2010
Citation
Boyack, B. E., and Rice, W. (September 1, 1971). "Integral Method for Flow Between Corotating Disks." ASME. J. Basic Eng. September 1971; 93(3): 350–354. https://doi.org/10.1115/1.3425252
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