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Pulsatile flow of third grade fluids under body acceleration -- modelling blood flow. (English) Zbl 0925.76975
Summary: In normal life the human body is quite often subjected to acceleration. Prolonged exposure to such accelerations can generate significant effects on the blood circulation and its rheological behavior depending on the configuration and geometry of the blood vessels. The present study is concerned with a mathematical model for pulsatile blood flow subjected to externally-imposed periodic body acceleration by considering blood as a third grade fluid. The effects of the body acceleration on the velocity, the flow rate and the wall shear stress are estimated numerically through an implicit finite difference scheme for femoral and coronary arteries.

76Z05Physiological flows
76A05Non-Newtonian fluids
Full Text: DOI
[1] Hiatt, E. P.; Meechan, J. P.; Galambos, J. P.: Reports on human acceleration. Publication 901 (1969)
[2] Burton, R. R.; Jr, S. D. Levercott; Michaelsow, E. D.: Aerospace med.. 46, 1251 (1974)
[3] Arntzenius, A. C.; Koops, J.; Rodrigo, F. A.; Elsbach, H.; Van Brummelen, A. C. W.: Biblphy. cardiol.. 26, 180 (1970)
[4] Verdouw, P. D.; Noordergraaf, A.; Arntzenius, A. C.; Huisman, P. H.: Biblphy. cardiol. 26, 180 (1970)
[5] Sed, V. K.; Von Gierke, H. E.; Kaleps, I.; Oestreicher, H. L.: Med. biol. Engng comput.. 21, 446 (1983)
[6] Sud, V. K.; Sekhon, G. S.: Bull. math. Biol.. 47, 35 (1985)
[7] Belardinelli, E.; Ursino, M.; Iemmi, E.: Trans. ASME J. Biomech. engng. 111, 233 (1989)
[8] Liepsch, D. W.: Biorheology. 23, 395 (1986)
[9] Goldsmith, H. L.; Skalak, R.: A. rev. Fluid mech.. 7, 213 (1975)
[10] Misra, J. C.; Sahu, B. K.: Comput. math. Applic.. 16, 993 (1988)
[11] Chaturani, P.; Palanisamy, V.: Biorheology. 27, 747 (1990)
[12] Chaturani, P.; Palanisamy, V.: Biorheology. 27, 619 (1990)
[13] Rajagopal, K. R.; Sciubba, E.; Von Kerzcek, C.: Proc. 10th IMACS world congress on system simulations and scientific computations. (1982)
[14] Sciubba, E.; Rajagopal, K. R.: Math. comput. Simul.. 26, 3 (1984)
[15] Majhi, S. N.; Usha, L.: Int. J. Engng sci.. 26, 503 (1988)
[16] Truesdell, C.; Noll, W.: 3rd edition flugge handbuch der physik. Handbuch der physik /3 (1965)
[17] Fosdick, R. L.; Rajagopal, K. R.: 3rd edition proc. R. soc. Lond.. Proc. R. Soc. lond. 339, 351 (1980)
[18] Gaetghens, P.: Biorheology. 17, 183 (1980)
[19] Rajagopal, K. R.: Mech. res. Commun.. 7, 21 (1980)
[20] Rajagopal, K. R.: Arch. mech.. 32, 867 (1980)
[21] Rivlin, R. S.; Ericksen, J. L.: J. rational mech. Anal.. 4, 323 (1955)
[22] Rajagopal, K. R.; Gupta, A. S.: Int. J. Engng sci.. 19, 1009 (1981)
[23] Bird, R. B.; Stewart, W. E.; Ligtfoot, E. N.: Transport phenomena. (1960)
[24] Burton, A. C.: Physiology and biophysics of the circulation. (1966)
[25] Smith, G. D.: Numerical solutions of partial differential equations. (1985) · Zbl 0576.65089
[26] Mcdonald, D. A.: Blood flow in arteries. (1974)