Skip to main content
Log in

Effects of peripheral layer viscosity on blood flow through the artery with mild stenosis

  • Published:
Bulletin of Mathematical Biology Aims and scope Submit manuscript

Abstract

The effects of peripheral layer viscosity on physiological characteristics of blood flow through the artery with mild stenosis have been studied. It has been shown that the resistance to flow and the wall shear decrease as the peripheral layer viscosity decreases.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Literature

  • Caro, C. G., J. M. Fitz-Gerald and R. C. Schroter. 1974. “Atheroma and Arterial Wall Shear Observation, Correlation and Proposed of a Shear Dependent Mass Transfer Mechanics for Atherogenesis.”Proc. R. Soc.,B177, 109–159.

    Google Scholar 

  • Deshpande, M. D., D. P. Giddens and R. F. Mabon. 1976. “Steady Laminar Flow Through Modelled Vascular Stenosis.”J. Biomech.,9, 165–174.

    Article  Google Scholar 

  • Forrester, J. H. and D. F. Young. 1970. “Flow Through a Converging-Diverging Tube and its Implications in Occlusive Vascular Disease.”J. Biomech.,3, 297–316.

    Article  Google Scholar 

  • Fox, J. A. and A. E. Hugo. 1966. “Localization of Atheroma: A Theory Based on Boundary Layer Separation.”Br. Heart J.,28, 388–399.

    Google Scholar 

  • Fry, D. L. 1968. “Acute Vascular Endothelial Changes Associated with Increased Blood Velocity Gradients.”Circulation Res.,22, 165–197.

    Google Scholar 

  • Lee, J. S. and Y. C. Fung. 1970. “Flow in Locally-Constricted Tubes at Low Reynolds Numbers.”J. appl. Mech.,37, 9–16.

    Article  MATH  Google Scholar 

  • Lih, M. M. 1969. “A Mathematical Model for the Axial Migration of Suspended Particles in Tube Flow.”Bull. math. Biophys.,31, 143–157.

    MATH  Google Scholar 

  • —. 1975.Transport Phenomena in Medicine and Biology, pp. 378–414 New York: John Wiley.

    Google Scholar 

  • May, A. G., J. A. Deweese and C. G. Rob. 1963. “Hemodynamic Effects of Arterial Stenosis.”Surgery 53, 513–524.

    Google Scholar 

  • Middleman, S. 1972.Transport Phenomena in the Cardiovascular System. New York: John Wiley.

    Google Scholar 

  • Morgan, B. E. and D. F. Young. 1974. “An Integral Method for the Analysis of Flow in Arterial Stenosis.”Bull. math. Biol.,36, 39–53.

    Article  MATH  Google Scholar 

  • Nerem, M. 1974.Fluid Dynamics Aspects of Arterial Disease, pp. 19–20. In proceedings of a specialists meeting at the Ohio State University held in Sept.

  • Rodbard, S. 1966. “Dynamics of Blood Flow in Stenotic Lesions.”Am. Heart. J. 72, 698–704.

    Article  Google Scholar 

  • Rodkiewicz, C. M. 1974.Atherosclerotic Formations in the Light of Fluid Mechanics. Fluid Enging Conf., Montreal, jointly sponsored by the American and Canadian Socs Mech. Engrs.

  • Whitmore, R. L. 1968.Rheology of the Circulation. Oxford: Pergamon Press.

    Google Scholar 

  • Young, D. F. 1968. “Effect of a Time-Dependent Stenosis on Flow Through a Tube.”J. Engng Ind.,90, 248–254.

    Google Scholar 

  • Young, D. F. and F. Y. Tsai. “Flow Characteristics in Models of Arterial Stenosis-1: Steady Flow.J. Biomech.,6, 395–410.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shukla, J.B., Parihar, R.S. & Gupta, S.P. Effects of peripheral layer viscosity on blood flow through the artery with mild stenosis. Bltn Mathcal Biology 42, 797–805 (1980). https://doi.org/10.1007/BF02461059

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02461059

Keywords

Navigation