期刊文献+

A mathematical analysis of MHD blood flow of Eyring-Powell fluid through a constricted artery 被引量:1

A mathematical analysis of MHD blood flow of Eyring-Powell fluid through a constricted artery
原文传递
导出
摘要 The present study deals with the flow of blood through a stenotic artery in the presence of a uniform magnetic field. Different flow situations are taken into account by considering the regular and irregular shapes of stenosis lying inside the walls of artery. Blood inside the artery is assumed to be Eyring-Powell fluid. A mathematical model is developed and simplified under the physical assumptions of stenosis. The regular perturbation method is adopted to find the solutions for axial velocity and pressure gradient. The variations in pressure drop across the stenosis length, the impedance and the shear stress at the walls of stenotic artery are discussed in detail through graphs. It is observed that the Eyring-Powell fluid is helpful in reducing the resistance to the flow in stenotic artery. Moreover, symmetric form of stenosis is more hazardous as compared to asymmetric stenosis.
出处 《International Journal of Biomathematics》 2016年第2期175-186,共12页 生物数学学报(英文版)
关键词 Blood flow magnetic field stenotic artery Eyring-Powell fluid. 血液流动 动脉壁 狭窄 数学分析 流体 正则摄动法 匀强磁场
  • 相关文献

参考文献4

二级参考文献71

  • 1Mann, EG., Herrick, J.F., Essex, H., Blades, E.J.: Effects of blood flow on decreasing the lumen of a blood vessel. Surgery 4, 249-252 (1938)
  • 2Eringen, A.C.: Theory of micropolar fluid. Mech. J. Math. 16, 1-18 (1966)
  • 3Agarwal, R.S., Dhanapal, C.: Numerical solution to the flow of a micropolar fluid between porous walls of different permeability. Int. J. Eng. Sci. 25, 325-336 (1987)
  • 4Philip, D., Chandra, E: Peristaltic transport of simple micro fluid. Proc. Natl. Acad. Sci. India 65(A), 63-74 (1995)
  • 5Young, D.F.: Effect of a time dependent stenosis of flow through a tube. J. Eng. Ind. 90, 248-254 (1968)
  • 6Srivistava, L.M.: Flow of couple stress fluid through stenotic blood vessels. J. Biomech. 15, 479-485 (1985)
  • 7Haldar, K.: Effects of the shape of stenosis on the resistance to blood flow through an artery. Bull. Math. Biol. 47, 545-550 (1985)
  • 8Srivastava, V.E: Arterial blood flow through a nonsymmetrical stenosis with applications. Jpn, J. Appl. Phys. 34, 6539-6545 (1995)
  • 9Srivastava, V.E, Saxena, M.: Suspension model for blood flow through stenotic arteries with a cell-free plasma layer. Math. Biosci. 139, 79-102 (1997)
  • 10Ang, K.C., Mazumdar, J.N.: Mathematical modeling of three- dimentional flow through an asymmetric arterial stenosis. Math. Comput. Modell. 25, 19-29 (1997)

共引文献19

同被引文献2

引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部