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
Full-text PDF Free Access
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.
P. B. Canham and A. C. Burton, Circulation research 22, 405 (1968)
T. J. Pedley, The fluid mechanics of large blood vessels, Cambridge University Press (1980), pp. 29–31
V. Dinnar, Cardiovascular fluid dynamics, Boca Raton, Florida: CRC Press (1981), pp. 23–28
- K. B. Ranger, A Stokes flow treated by the method of inversion, Quart. J. Mech. Appl. Math. 18 (1965), 277–285. MR 189365, DOI https://doi.org/10.1093/qjmam/18.3.277
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)
I. S. Gradshteyn and I. M. Ryzhik, Tables of integrals, series, and products (enlarged edition), ed. A. Jeffrey, New York: Academic Press (1980)
P. B. Canham and A. C. Burton, Circulation research 22, 405 (1968)
T. J. Pedley, The fluid mechanics of large blood vessels, Cambridge University Press (1980), pp. 29–31
V. Dinnar, Cardiovascular fluid dynamics, Boca Raton, Florida: CRC Press (1981), pp. 23–28
K. B. Ranger, A Stokes flow treated by the method of inversion, Quart. J. Mech. & Appl. Math. 18, 277–285 (1965)
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)
I. S. Gradshteyn and I. M. Ryzhik, Tables of integrals, series, and products (enlarged edition), ed. A. Jeffrey, New York: Academic Press (1980)
Similar Articles
Retrieve articles in Quarterly of Applied Mathematics
with MSC:
92A09,
76Z05,
92A06
Retrieve articles in all journals
with MSC:
92A09,
76Z05,
92A06
Additional Information
Article copyright:
© Copyright 1987
American Mathematical Society