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.
Creeping Flow Through an Axisymmetric Sudden Contraction or Expansion
Contributed by the Fluids Engineering Division for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received by the Fluids Engineering Division May 23, 2001; revised manuscript received October 18, 2001. Associate Editor: J. Marshall.
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Sisavath , S., Jing , X., Pain , C. C., and Zimmerman, R. W. (October 18, 2001). "Creeping Flow Through an Axisymmetric Sudden Contraction or Expansion ." ASME. J. Fluids Eng. March 2002; 124(1): 273–278. https://doi.org/10.1115/1.1430669
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