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A nonlinear analysis of pulsatile flow in arteries

Published online by Cambridge University Press:  29 March 2006

S. C. Ling  and
H. B. Atabek
S. C. Ling
Affiliation:
Department of Aerospace and Atmospheric Sciences, The Catholic University of America, Washington, D.C.
H. B. Atabek
Affiliation:
Department of Aerospace and Atmospheric Sciences, The Catholic University of America, Washington, D.C.
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Abstract

An approximate numerical method for calculating flow profiles in arteries is developed. The theory takes into account the nonlinear terms of the Navier-Stokes equations as well as the nonlinear behaviour and large deformations of the arterial wall. Through the locally measured values of the pressure, pressure gradient and pressure–radius function the velocity distribution and wall shear at a given location along the artery can be determined. The computed results agree well with the corresponding experimental data.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 55 , Issue 3 , 10 October 1972 , pp. 493 - 511
Copyright
© 1972 Cambridge University Press

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References

Atabek, H. B. 1968 Biophys. J. 8, 626.
Barnett, G. O., Greenfield, J. C. & Fox, S. M. 1961 Am. Heart J. 62, 359.
Cox, R. H. 1969 J. Biochem. 2, 251.
Fry, D. L., Griggs, D. M. & Greenfield, J. C. 1964 Pulsatile Blood Flow (ed. E. O. Attinger), p. 101. McGraw-Hill.
Green, A. E. & Adkins, J. E. 1960 Large Elastic Deformations, ch. 4. Oxford University Press.
Ling, S. C. 1970 A.I.A.A. Paper, no. 70–789.
Ling, S. C., Atabek, H. B. & Carmody, J. J. 1969 Proc. 12th Cong. of Appl. Mech. p. 277. Springer.
Ling, S. C., Atabek, H. B., Fry, D. L., Patel, D. J. & Janicki, J. S. 1968 Circulation Res. 23, 789.
McDonald, D. A. 1960 Blood Flow in Arteries, ch. 5. Williams & Wilkins.
Patel, D. J., Greenfield, J. C. & Fry, D. L. 1964 Pulsatile Blood Flow (ed. E. O. Attinger), p. 293. McGraw-Hill.
Wolinsky, H. & Glagov, S. 1964 Circulation Res. 14, 400.
Womersley, J. R. 1957 An elastic tube theory of pulse transmission and oscillatory flow in mammalian arteries. Wright Air Dev. Ctr. Tech. Rep. WADC-TR-56-614.Google Scholar