Influence of Plasma layer on Steady Blood flow in micro-vessels

Noriko Iida (1977)

Introduction

  • Arterioles are blood vessels with diameter < 200
  • Non-Newtonian behaviour of blood is because of rouleaux formation, aggregation and flexibility of blood cells.
  • Volume flow rate in of a non-Newtonian fluid in a pipe is given by

apparent viscosity, inner radius, length of pipe, pressure difference across tube

  • 80% of the pressure gradient in the circulation systems is caused by arterioles. 12
  • Mathematical models that give a two fluid description of blood. 345
  • This paper describes proposes the Modified Herschel-Bulkley model mathematical model that is a modification of the existing H.B model, which considers blood to have a non-Newtonian core made of RBC’s and a peripheral region of Plasma that behaves as a Newtonian fluid.

References

Footnotes

  1. Burton, A. C. (1972). Physiology and biophysics of the circulation: An introductory text. Chicago: Year Book Medical Publishers.

  2. E. U. Renkin and S. Rosell: Acta Physiol. Scandinavica 54 (1962) 381.

  3. S. Oka: Advances in Biophysics, ed. M. Kotani (University Park Press, Baltimore, London and Tokyo, 1972) Vol. 3, p. 97.

  4. P. Chaturani and P. N. Kaloni: Biorheology 13 (1976) 243.

  5. R. N. Das and V. Seshadri: Bull. Math. Biology 37 (1975) 459.