Summary
The Stokes flow through a tube which is periodically constricted is studied by using eigenfunction expansions and matching. Both streamlines and pressure drops are computed. It is found that if straight sections of a tube are long enough, the total pressure drop is a sum of Poiseuille pressure drops and the excess pressure drops due to the diameter changes.
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Wang, C.Y. Stokes flow through a periodically constricted tube and the resistance due to a contraction. Acta Mechanica 148, 55–61 (2001). https://doi.org/10.1007/BF01183668
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DOI: https://doi.org/10.1007/BF01183668