A Mathematical Model for Blood flow and Cross Sectional
Area of an Artery

Dr. Sanjeev Kumar; Dr. R.S. Chandel; Dr. Sanjeet Kumar; Harjeet Kumar

doi:https://doi.org/10.14445/22315373/IJMTT-V1I1P2

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 1 | Issue 1 | Year 2011 | Article Id. IJMTT-V1I1P2 | DOI : https://doi.org/10.14445/22315373/IJMTT-V1I1P2

A Mathematical Model for Blood flow and Cross Sectional Area of an Artery

Dr. Sanjeev Kumar, Dr. R.S. Chandel, Dr. Sanjeet Kumar, Harjeet Kumar

Abstract

The purpose of this work is to study the effect of blood flow and cross sectional area in artery. The cross sectional area plays an important part in order for the blood to flow smoothly through the blood vessels. A small change in the value for the cross sectional area may affect the amount of blood flow rate through the arteries which also may affect the blood pressure. This paper deals with the study of blood flow which was derived from Navier-Stokes equations. A system of non linear partial differential equations for blood flow and cross sectional area of the artery was obtained. The governing equations are solved numerically by using finite difference method.

Keywords

Newtonian fluid, finite difference technique, arterial blood flow. AMS Subject Classification (1991): 760z05, 92c35

References

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Citation :

Dr. Sanjeev Kumar, Dr. R.S. Chandel, Dr. Sanjeet Kumar, Harjeet Kumar, "A Mathematical Model for Blood flow and Cross Sectional Area of an Artery," International Journal of Mathematics Trends and Technology (IJMTT), vol. 1, no. 1, pp. 1-13, 2011. Crossref, https://doi.org/10.14445/22315373/IJMTT-V1I1P2