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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References
Milnor, W. R.: Capillaries and lymphatic vessels. In: Medical physiology (Mountcastle, V. B. ed.) vol. 2, 13th ed. St. Louis: Mosby 1974.
Scheidegger, A. E.: The physics of flow through porous media, 3rd ed. Toronto: University Toronto, 1974.
Dullien, F. A. L.: Porous media-fluid transport and pore structure, 2nd ed. San Diego: Academic Press 1992.
Vrentas, J. S., Duda, J. L.: Flow of a Newtonian fluid through a sudden contraction. Appl. Sci. Res.28, 241–250 (1973).
Oliveira, P. J., Pinho, F. T.: Pressure drop coefficient of laminar Newtonian flow in axisymmetric sudden expansions. Int. J. Heat Fluid Flow18, 518–529 (1997).
Davis, A. M. J.: Creeping flow through an annular stenosis in a pipe. Quart. Appl. Math.49, 507–520 (1991).
Wang, C. Y.: Stokes flow through a tube with annular fins. Eur. J. Mech. B/Fluids15, 781–789 (1996).
Sampson, R. A.: On Stokes' current function. Phil. Trans. Roy. Soc.A182, 449–518 (1891).
Dagan, A., Weinbaum, S., Pfeffer, R.: An infinite series solution for the creeping motion through an orifice of finite length. J. Fluid Mech.115, 505–523 (1982).
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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