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1702429PublishedVol 4 · Issue 1

Mathematical model for behavior of Blood Flow in Artery Through Stenosis

Dr. Sushil Kumar Karm Veer Singh Dr. A. K. Yadav Dr. S. S. Yadav

Subject area: Science,Engineering and Technology  ·  Area of research: Mathematics

Abstract

The aim of this paper is to develop a mathematical model for studying the non-Newtonian flow of blood through a stenosed arterial segment. Power law fluid represents the non-Newtonian character of blood. The hemodynamic behavior of the blood flow is influenced by the presence of the arterial stenosis. The problem is solved by using analytical techniques with help of boundary conditions and results are displayed graphically for different flow characteristics like pressure drop, shear stress, velocity profile. For the validation of numerical model, the computation results are compared with the results from published literature.

Keywords

Herschel-Bulkley fluid, power law fluid model, pressure drop, stenosis height, shear stress

How to cite this paper

Dr. Sushil Kumar, Karm Veer Singh, Dr. A. K. Yadav, Dr. S. S. Yadav "Mathematical model for behavior of Blood Flow in Artery Through Stenosis" Iconic Research And Engineering Journals Volume 4 Issue 1 2020 Page 94-98
Dr. Sushil Kumar, Karm Veer Singh, Dr. A. K. Yadav, Dr. S. S. Yadav "Mathematical model for behavior of Blood Flow in Artery Through Stenosis" Iconic Research And Engineering Journals, vol. 4, no. 1, Jul. 2020
Dr. Sushil Kumar, Karm Veer Singh, Dr. A. K. Yadav, Dr. S. S. Yadav (2020). Mathematical model for behavior of Blood Flow in Artery Through Stenosis. Iconic Research And Engineering Journals, 4(1).
Dr. Sushil Kumar, Karm Veer Singh, Dr. A. K. Yadav, Dr. S. S. Yadav "Mathematical model for behavior of Blood Flow in Artery Through Stenosis" Iconic Research And Engineering Journals, vol. 4, no. 1, Jul. 2020.
@article{1702429,
      author = {Dr. Sushil Kumar, Karm Veer Singh, Dr. A. K. Yadav, Dr. S. S. Yadav},
      title = {Mathematical model for behavior of Blood Flow in Artery Through Stenosis},
      journal = {Iconic Research And Engineering Journals},
      year = {2020},
      volume = {4},
      number = {1},
      pages = {94-98},
      issn = {2456-8880},
      url = {https://www.irejournals.com/formatedpaper/1702429.pdf},
      abstract = {The aim of this paper is to develop a mathematical model for studying the non-Newtonian flow of blood through a stenosed arterial segment. Power law fluid represents the non-Newtonian character of blood. The hemodynamic behavior of the blood flow is influenced by the presence of the arterial stenosis. The problem is solved by using analytical techniques with help of boundary conditions and results are displayed graphically for different flow characteristics like pressure drop, shear stress, velocity profile. For the validation of numerical model, the computation results are compared with the results from published literature.},
      keywords = {Herschel-Bulkley fluid, power law fluid model, pressure drop, stenosis height, shear stress},
      month = {July},
  }