Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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A Stokes flow model for the drag on a blood cell


Authors: A. M. J. Davis and K. B. Ranger
Journal: Quart. Appl. Math. 45 (1987), 305-311
MSC: Primary 92A09; Secondary 76Z05, 92A06
DOI: https://doi.org/10.1090/qam/895100
MathSciNet review: 895100
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Abstract | References | Similar Articles | Additional Information

Abstract: The geometrical inverse of a prolate ellipsoid of revolution with respect to its center is a biconcave lens for certain values of the parameters. This is used as a model for the normal shape of a red blood cell. The Stokes flow past this body is found explicitly and an expression given for the drag.


References [Enhancements On Off] (What's this?)

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  • [2] T. J. Pedley, The fluid mechanics of large blood vessels, Cambridge University Press (1980), pp. 29-31
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  • [4] K. B. Ranger, A Stokes flow treated by the method of inversion, Quart. J. Mech. Appl. Math. 18 (1965), 277–285. MR 0189365, https://doi.org/10.1093/qjmam/18.3.277
  • [5] J. M. Dorrepaal, S. R. Majumdar, M. E. O'Neill, and K. B. Ranger, A closed torus in Stokes flow, Quart. J. Mech. & Appl. Math. 29, 381-387 (1976)
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Additional Information

DOI: https://doi.org/10.1090/qam/895100
Article copyright: © Copyright 1987 American Mathematical Society


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