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A mathematical model for blood flow through straight artery of slightly non-circular cross-section

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Języki publikacji
EN
Abstrakty
EN
In this paper, a model is presented for investigating some hydrodynamic characteristics of blood flow through a large arterial vessel of slightly non-circular cross section. The viscosity of blood is assumed non-uniform due to a distribution of erythrocytes (red cells). The effects of such variation of viscosity on the hydrodynamic flow characteristics, e.g., velocity profiles, volumetric flow rate and shear stress distribution are investigated. These characteristics are then compared with the similar results obtained for the case of blood flow through the corresponding tube of circular cross section.
Rocznik
Strony
261--275
Opis fizyczny
Bibliogr. 11 poz., wykr.
Twórcy
autor
autor
Bibliografia
  • Abu-Sitta A.M. and Drake D.G. (1969): Oscillating flow in ducts of arbitrary cross-section. - J. Roy. Aero. Soc., vol.73, pp.894-896.
  • Charm S.E. and Kurland G.S. (1965): Blood Rheology. - In Cardiovascular Fluid Dynamics.
  • Duan B. and Zamir M. (1991): Approximate solution for pulsatile flow in tubes of slightly non-circular sections. - Utilitas Mathematica, vol.40, pp.13-26.
  • Halder K. and Dey K.N. (1990): Effects of erythocytes on the flow characteristic of blood in an indented tube. - Arch. Mech., Warszawa, vol.42, No.1, pp.109.
  • Khamrui S.R. (1957): On the flow of a viscous liquid through a tube of elliptic section under the influence of a periodic gradient. - Bull. Cal. Math. Soc., vol.49, pp.57-60.
  • Lih M.M. (1969): A mathematical model for the axial migration of suspended particles in tube flow. - Bull. Math. Biophys., vol.31, pp.143-157.
  • Merrill E.W., Gilliland E.R., Cockelet G.R., Shin H., Britten A. and Wells R.E. (1963): Rheology of human blood effects of temperature and hematocrit level. - Bio-Phys. J., vol.3, pp.199-213.
  • Oliver D.R. and Ward S.G. (1953): Relationship between relative viscosity and volume concentration of stable suspensions of spherical particles. - Nature, February 28, pp.396-397.
  • Poria S. (2007): Effects of hematocrit level on the oscillatory flow characteristic of blood in a stenosed artery. - Int. J. Applied Mechanics and Engineering, vol.12, No.4, pp.1103.
  • Rao Ramchandra A. and Padmavathi K. (1993): Pulsatile flow of a viscous fluid in elliptical pipe of variable cross-section. - Int. J. Non-Linear Mechanics, vol.28, No.4, pp.455-466.
  • Rodkiewicz C.M. (1983): Flow in large arteries, in Arteries and Arterial blood flow (Ed. by Rodkiewicz, C.M.). - Springer-Verlag, Wien., pp.327-411.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0040-0034
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