A Mathematical Model for Effect of Couple-stress in Fluid Through the Blood Vessel with Mild Stenosis


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Authors

  • Ajay Kumar Department of Mathematics, University Institute of Technology (RGPV), Bhopal, Madhya Pradesh, India
  • R. S. Chandel Department of Mathematics, Government Geetanjali Girls College, Bhopal, Madhya Pradesh, India
  • Rajesh Shrivastava Department of Mathematics, Government Science and Commerce College, Benazir Bhopal, Madhya Pradesh, India
  • Keerty Shrivastava Department of Zoology, Government Post Graduate Bhel College, Bhopal, Madhya Pradesh, India
  • Sanjeet Kumar Department of Mathematics, Lakshmi Narain College of Technology, Bhopal, Madhya Pradesh, India

Keywords:

Physiological flow, stenosis, couple stress fluid, peripheral layer

Abstract

A mathematical model is developed to study the effect of couple stress on the blood flow through two-dimensional symmetric arteries with stenosis. The present model is consists of a core region to be a couple stress fluid and the peripheral layer of Newtonian fluid. Analytical expressions have been obtained for resistance to flow and wall shear stress with the height of stenosis. The numerical values are derived from these analytic expressions. The effect of various parameters on these flows has been examined and depicted through graphs for different values. The information of blood flow could be very useful in the development of new diagnosis tool for the arterial disease.

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Published

20-01-2018

How to Cite

Ajay Kumar, R. S. Chandel, Rajesh Shrivastava, Keerty Shrivastava, & Sanjeet Kumar. (2018). A Mathematical Model for Effect of Couple-stress in Fluid Through the Blood Vessel with Mild Stenosis. International Journal of Mathematics And Its Applications, 6(1 - B), 351–358. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/932

Issue

Vol. 6 No. 1 - B (2018)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.