Abstract
The broadside settling of discs along the centerline of a fluid-filled tube is studied. The Stokes equation is solved by a method of eigenfunction expansions and collocation. Depending on the geometry, the flow field shows different arrangements of recirculating eddies. Due to mutual shielding, the discs settle faster when they are closer together.
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References
Happel, J. and Brenner, H.,Low Reynolds Number Hydrodynamics. New Jersey: Prentice-Hall (1965).
Wakiya, S., Viscous flow past a spheroid.J. Phys. Soc. Jap. 12 (1957), 1130–1141.
Shail, R. and Norton, D.J., On the slow broadside motion of a thin disc along the axis of a fluid-filled circular duct.Proc. Camb. Phil. Soc. 65 (1969), 793–802.
Davis, A.M.J., The use of disks to approximate finite axisymmetric bodies in Stokes flow.Phys. Fluids 4 (1992) 7–15.
Sonshine, R.M. and Brenner, H., The Stokes translation of two or more particles along the axis of an infinitely long circular cylinder.Appl. Sci. Res. 16 (1966) 425–454.
Wang, H. and Skalak, R., Viscous flow in a cylindrical tube containing a line of spherical particles.J. Fluid Mech. 38 (1969) 75–96.
Chen, T.C. and Skalak, R., Stokes flow in a cylindrical tube containing a line of spheroidal particles.Appl. Sci. Res. 22 (1970) 403–441.
Wang, C.Y., Flow and heat transfer between plates with longitudinal fins.Appl. Sci. Res. 54 (1995) 23–38.
Duda, J.L. and Vrentas, J.S., Steady flow in the region of closed streamlines in a cylindrical cavity.J. Fluid Mech. 45 (1971) 247–260.
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Wang, C.Y. Settling of discs inside a vertical fluid-filled tube. Appl. Sci. Res. 56, 43–51 (1996). https://doi.org/10.1007/BF02282921
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DOI: https://doi.org/10.1007/BF02282921