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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 3 | Issue 2 | Year 2012 | Article Id. IJMTT-V3I2P502 | DOI : https://doi.org/10.14445/22315373/IJMTT-V3I2P502

Effect of Resistance to flow and wall shear stress on axially symmetric artery for Non-Newtonian fluid Model of blood flow through a stenosis


S.S. Yadav, Krishna Kumar
Abstract

An effort has been made to explore the non-Newtonian behaviour on blood flow through a stenosed artery with Power-law fluid model. Numerical illustration presented at the end of the paper provides the consequences for resistance to flow and wall shear stress through their graphical representations. It is seen that resistance to flow ( ) increases with stenosis size for different values of flow index behavior ( n ). We have also shown the variations in wall shear stress with the axial distance ( 0 z l / ) for different index behavior and stenosis size.

Keywords
Resistance to flow, wall shear stress, axial distance, index behavior
References

[1] Shukla, J.B., Parihar, R.S. and Gupta, S.P. (1980a): “Effect of peripheral layer viscosity on blood flow through the artery with mild stenosis”, Bull. Math. Biol., 42:797-805.
[2] Shukla, J.B., Parihar, R.S.; Rao, B.R.P. and Gupta, S.P. (1980b): “Effect of peripheral layer viscosity on peristaltic transport of a biofluid”, J. Fluid Mech., 97:225-235.
[3] Smith, N.P.; Pullan, A.J. and Hunter, P.J. (2002): “An anatomically based model of transient coronary blood flow in the heart”, SIAM J. Applied Mathematics, 62:990-1018
[4] Srivastava, V.P. (2002): “Particular suspension blood flow through stenotic arteries: effect of hematocrit and stenosis shape”, Indian J. pure APPL. Math. 33(9):1353-1360.
[5] Ponalagusamy, R. (2007): “ Blood flow through an artery with mild stenosis: A two-layered model, different shapes of stenosis and slip velocity at the wall”, Journal of Applied Sciences, 7(7):1071-1077
[6] Mishra, B.K.; Pradhan, P.; Panda, T.C.(2008): “ Effect of Resistance Parameter on uniform and non-uniform portion of artery for non-Newtonian fluid model of blood flow through an arterial stenosis”, Journal of modern Mathematics and Statistics, 2(6):203-206
[7] Verma, N.; Parihar, R.S. (2010): “Mathematical model of blood flow through a Tapered Artery with Mild Stenosis and Hematocrit”, Journal of modern Mathematics and Statistics 4(1):38-43
[8] Singh, B.; Joshi, P.; Joshi, B.K. (2010): “ Blood flow through an artery having radially non-symmetric mild stenosis”, Applied Mathematical Sciences, 4(22):1065-1072
[9] Shah, S.R. (2011): “Non-Newtonian Flow of Blood through an Atherosclerotic Artery”, Research Journal of Applied Sciences, 6(1):76-80.

Citation :

S.S. Yadav, Krishna Kumar, "Effect of Resistance to flow and wall shear stress on axially symmetric artery for Non-Newtonian fluid Model of blood flow through a stenosis," International Journal of Mathematics Trends and Technology (IJMTT), vol. 3, no. 2, pp. 47-49, 2012. Crossref, https://doi.org/10.14445/22315373/IJMTT-V3I2P502

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