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Flow through tubes with sinusoidal axial variations in diameter

An iteration technique has been developed to solve the equations of motion for flow of an incompressible Newtonian fluid through a circular tube with a radius which varies sinusoidally in the axial direction. The iteration is essentially geometric; one proceeds from a solution for flow through a tub...

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Bibliographic Details
Published in:AIChE journal 1979-07, Vol.25 (4), p.638-645
Main Authors: Deiber, J. A., Schowalter, W. R.
Format: Article
Language:English
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Summary:An iteration technique has been developed to solve the equations of motion for flow of an incompressible Newtonian fluid through a circular tube with a radius which varies sinusoidally in the axial direction. The iteration is essentially geometric; one proceeds from a solution for flow through a tube in which the wavelength of diameter change in the axial direction is arbitrarily large to a solution for the wavelength and amplitude of interest. Theoretical predictions of inception of secondary flow are in good agreement with experiments.
ISSN:0001-1541
1547-5905
DOI:10.1002/aic.690250410