Journal
JOURNAL OF FLUIDS ENGINEERING-TRANSACTIONS OF THE ASME
Volume 124, Issue 1, Pages 273-278Publisher
ASME-AMER SOC MECHANICAL ENG
DOI: 10.1115/1.1430669
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Creeping flow through a sudden contraction/expansion in an axisymmetric pipe is studied. Sampson's solution for flow through a circular orifice in an infinite wall is used to derive an approximation for the excess pressure drop due to a sudden contraction/ expansion in a pipe with a finite expansion ratio. The accuracy of this approximation obtained is verified by comparing its results to finite-element simulations and other previous numerical studies. The result can also be extended to a thin annular obstacle in a circular pipe. The equivalent length corresponding to the excess pressure drop is found to be barely half the radius of the smaller tube.
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