Abstract
A numerical study is made in the quasione-dimensional inertialess approximation of axisymmetric flow of a Newtonian fluid in a pipe of finite length made of nonlinear active material capable of reducing the corresponding deformations in response to an increase in the tensile stresses. This property is possessed, in particular, by the walls of the smallest arterial vessels, which are equipped with muscle layers. Data are given on the general laws of the exchange of flow regimes in dependence on the mean pressure, the length of the pipe, and certain theological parameters.
Similar content being viewed by others
Literature cited
S. A. Regirer, I. M. Rutkevich, and P. I. Usik, “A model of vascular tone,” Mekh. Polim., No. 4, 585 (1975).
P. C. Johnson, “Autoregulatory responses of cat mesenteric arterioles measured in vivo,” Circ. Res.,22, 199 (1968).
P. C. Johnson and M. Intaglietta, “Contributions of pressure and flow sensitivity to autoregulation in mesenteric arterioles,“ Am. J. Physiol.,231, 1686 (1976).
M. E. Burrows and P. C. Johnson, “Diameter, wall tension and flow in mesenteric arterioles during autoregulation,” Am. J. Physiol.,241, 829 (1981).
P. C. Johnson (ed.), Peripheral Circulation, Wiley, New York (1978).
S. A. Regirer and I. M. Rutkevich, “Wave motions in a fluid in pipes made of viscoelastic material. Waves of small amplitude,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 1, 45 (1975).
I. M. Rutkevich, “Wave motions in a fluid in pipes made of viscoelastic material. Steady nonlinear waves,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 4, 86 (1975).
B. N. Klochkov, “Automatic wave processes in blood vessels of the muscular type,” in: Automatic Wave Processes in Systems with Diffusion [in Russian], Institute of Applied Physics, USSR Academy of Sciences, Gor'kii (1981), pp. 233–242.
I. M. Skobeleva, “A model of vascular tone. (Numerical experiment),” Mekh. Kompozitnykh Materialov, No. 1, 107 (1980).
I. M. Skobeleva, “Some flow regimes of a fluid in pipes made of viscoelastic material,” Dokl. Akad. Nauk SSSR,272, 564 (1983).
B. N. Klochkov, A. M. Reiman, and Yu. A. Stepanyants, “The mathematical simulation of wave phenomena in arterioles,” Abstracts of Papers at the Third All-Union Conference on Problems in Biomechanics, Vol. 1 [in Russian], Riga (1983), pp. 220–222.
B. N. Klochkov, A. M. Reiman, and Yu. A. Stepanyants, “Unsteady flows in a fluid in pipes made of a viscoelastic active material,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 3, 94 (1985).
M. Feigenbaum, “Universality in the behavior of nonlinear systems,” Usp. Fiz. Nauk,141, 343 (1983).
Author information
Authors and Affiliations
Additional information
Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 3, pp. 88–93, May–June, 1985.
The author is grateful to S. A. Regirer for useful discussions.
Rights and permissions
About this article
Cite this article
Skobeleva, I.M. Possible flow regimes of a Newtonian fluid in pipes made of active material. Fluid Dyn 20, 411–415 (1985). https://doi.org/10.1007/BF01049994
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01049994