Blood Flow in Large Femoral Artery

  • Mariam Mohammed Alsubaie Saudi

Abstract

The present master research project entitled, Blood Flow in Large Femoral Artery, has been
spread over in three chapters. Chapter-1, gives the information and overall development of Biofluid Mechanics. This chapter further deals with basic definitions, governing equations of various
models, different types of fluids and set of Magneto-hydrodynamic equations. In this chapter we
have also discussed about the importance of the subject, cardiovascular system, distribution of
blood volume and difference between anatomy and physiology.
The aim of the chapter-2 is based on the interest of today's research in Bio-fluid dynamics, more
and more dedicated to accurate modeling of the blood flow characteristics. It became evident that
blood is a complex fluid, with properties depending on many factors, not limited to shear rate
and hematocrit. In this chapter we have discussed in details about the blood rheology and blood
vessels because it is very important to understand the blood flow in the artery. Few properties of
blood flow also have been discussed in this chapter.
Chapter-3, presents a theoretical model of oscillatory blood flow in circulatory rigid tube. The
assumptions of a Newtonian rheology is considered and blood flow is described by the NavierStokes equations with specific term pressure gradient and boundary conditions. In this chapter
we have got the analytical solution of the problem in terms of velocity and flow rate. The main
aim of this chapter is, how the fluid dynamics play an important role in the understanding of the
human circulatory system. This type of blood flow problem occurs in the human body in the
case of diseased artery

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References

[1] A.J. Vander, J.H. Sherman, and D.S. Luciano, Human Physiology: The Mechanism of
Body Function, McGraw-Hill, New York, 1985.
[2] A. Maton. Human Biology and Health, Prentice Hall, Englewood Cliffs, New Jersey, 1993.
[3] Alan Jeffery, Magneto-hydrodynamics, New York, 1966.
[4] Alizadeh, Seyedpour, S.M, Calculation and Analysis of Velocity and Viscous Drag in an
Artery With Periodic Pressure Gradient, Chinese Journal of Mechanical Engineering, 2012
[5] Banerjee R.K, Back L.H, Pulsatile Blood Flow in a Tapered Femoral Artery of a Dog
,Computed and Measured Hydrodynamics, Journal of Bioengineering Division , p-517-518
, 2001
[6] Fung, Y.C., Bio-dynamics Circulation, Springer Verleg, New York, 1984.
[7] Fung, Y.C., Biomechanics: Motion, Flow, Stress and Growth, Springer Verleg, New York,
1990.
[8] Jagan, N., Mazumdar, Bio-fluid Mechanics, World Scientific Press, New Jersey,1992.
[9] J., Mazumdar, An Introduction to Mathematical Physiology and Biology, Cambridge
University press, 1989.
[10] J. Kneer, J. Sneyd, Mathematical physiology, New York, Springer, 1998.
[11] J.T. Ottesen, M.S. Olufsen, J.K. Larsen, Applied Mathematical Models in Human
Physiology, 2004
[12] Kapur, J.N., Mathematical Models in Biology and Medicine, Affiliated East- West Press
Ltd., India, 1985.
[13] Lebedev, N.N., Special Functions and Their Applications, Prentice Hall, Englewood
Cliffs, New Jersey, 1965.
[14] Martini, F.H., Fundamentals of Anatomy and Physiology, Prentice Hall, Englewood
Cliffs, New Jersey, 1995.
[15] McDonald, D.A., Blood Flow in Arteries, Williams, Baltimore, 1960.37
[16] McDonald, D.A., The Relation of Pulsatile Pressure to Flow in Arteries, J. Physiol., vol.
127, p -533, 1955.
[17] McDonald, D.A., and M.G., Taylor, The Phase Velocities of Harmonic Components of
the Pulse Wave, J. Physiol., vol. 137, p -87, 1957.
[18] Mclachlan, N.W., Bessel Functions for Engineers, Oxford University Press, 1961.
[19] Page R., Painter, Partic, Eden., Pulsatile Blood Flow, Shear Force, Energy Dissipation
and Murray's Law, J. Theoretical Biology and Modeling, vol. 3- 31, 2006.
[20] Schlichting, H., Boundary Layer Theory, McGraw-Hill, 1960.
[21] Thurston, R. and C.E. Martin, Jr., Periodic Fluid Flow through Circular Orifices, J.
Acoustic. Soc. Am., Vol. 25, p-26, 1953.
[22] Womersley, J.R., Flow in the Large Arteries and Its Relations to the Oscillating
Pressure, J.Physiol., Vol., 124, p-31-32, 1954.
[23] Womersley, J.R., Method for Calculation of Velocity, Rate of Flow and Viscous Drag in
Arteries when the Pressure Gradient is Known, J.Physiol., vol., 127, p-553-563, 1955.
[24] Womersley, J.R., Oscillatory motion of a Viscous Liquid in a Thin Walled Elastic
Tube, Phil. Mag., Vol., 46, p-178-187, 1957.
[25] W.R. Milnor, Cardiovascular Physiology, Oxford Press, New York, 1990.
Published
2018-07-31
How to Cite
Alsubaie, M. M. (2018). Blood Flow in Large Femoral Artery. IJRDO - JOURNAL OF BIOLOGICAL SCIENCE, 4(7), 06-54. https://doi.org/10.53555/bs.v4i7.2187