A STEADY FLOW OF BLOOD THROUGH A STENOSED ARTERY WITH A BALLOON-CATHETER TECHNIQUE.
- Department of Mathematics, AIMT, Lucknow-226026, India.
- Math Section-IT Department, Higher College of Technology, Sultanate of Oman.
- Department of Mathematics, S.M.S.Govt. Science College, Gwalior-474001, India.
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In the present paper, an analysis of blood flow through a stenosed artery with a balloon based catheter technique has been carried out where the blood is treated as Newtonian fluid. The governing equation of motion is solved and closed form expressions for dimensionless resistance to flow, the wall shear stress and the shearing stress on the wall at maximum height of the stenosis are obtained. The behavior of these flow characteristics in this constricted annular region has been discussed. Their variations with different flow parameters are plotted in figures.
- Akbar NS, Nadeem S (2014). Simulation of peristaltic flow of chime in small intestine for couple stress fluid. Meccanica 49: 325-334.
- Anderson HV, Roubin GS, Leimgruber PP, Cox WR, Douglas JS Jr, King SB and Gruentzig AR (1986). Measurement of transtenotic pressure gradient during percutaneous transluminal coronary angioplasty, Circulation 73: 1223-1230.
- Caro CG, Pedley TJ, Schroter RC and Seed WA (1978). The Mechanics of the Circulation. Oxford Medical, New York.
- Dash RK, Jayaraman G and Mehta KN (1996). Estimation of Increased Flow Resistance in a Narrow Catheterized Artery?A Theoretical Model. Journal of Biomechanics, Vol. 29(7): 917-930.
- Gabe IT (1972). Pressure measurement In experimental physiology, In cardiovascular Fluid Dynamics. Academic Press, London 11-49.
- Glagov S, Zarins C, Giddens DP, Ku DN (1988). Hemodynamics atherosclerosis: insights perspectives gained from studies of human arteries. Arch. Pathol. Lab. Med. 112: 1018-1031.
- Gunj P, Abben R, Friedman, Granic JD, Barry WH, Levin DC (1985). Usefulness of transstenotic coronary pressure gradient measurements during diagnostic catheterization. Am. J. Cardiol. 55: 910-914.
- Hazarika GC, Sarmah A (2014). Blood flow through a stenosed artery with the effect of transverse magnetic field using a non-Newtonian model. Int. J. of Computer Applications 10 (1): 5-8.
- Ledesma JM, Riahi DN, Roy R (2013). Two-phase flow in a catheterized artery with atherosclerosis. J. of Theoretical and Applied Mechanics 51(2): 409-418.
- McMahon TA, Clark C, Murty VS and Shapiro AH (1971). Intra aortic balloon experiments in a lumped-element hydraulic model of the circulation. J. Biomechanics 4: 335-350.
- Medhavi, A, Srivastav, R. K., Ahmad Q. S. and Srivastava, V. P. (2012). Two-phase arterial blood flow through a composite stenosis. e-jst, 7(4), pp. 83-94.
- Mishra BK, Panda TC (2005). Non-Newtonian model of blood flow through an arterial stenosis. Acta Ciencia Indica. 31, M(2): 341-348.
- Perktold PK, Karner G, Leuprecht A, Hofer M (1999). Influence of non-Newtonian flow behavior on local hemodynamics. J.of Appl. Math. and Mech. 79(S1): 187-190.
- Ponalagusamy R and Tamil Selvi R (2011). Blood flow through stenosed arteries: new formula for computing peripheral plasma layer thickness, Int. J. Bio-Sci. & Bio-Tech., 3(1): 27-37.
- Riahi DN and Roy R (2012). Unsteady blood flow in an artery with an overlapping stenosis. Internatinal J. of Applied Mechanics 4,(2), 16pages.
- Srivastav RK (2014). Mathematical Model of Blood Flow Through A Composite Stenosis In Catheterized Artery With Permeable Wall. Applications and Applied Mathematics, 9, Issue 1, 58-74.
- Srivastav , and Srivastava VP (2014a). On Two-Fluid Blood Flow Through Stenosed Artery with Permeable Wall. Applied Bionics and Biomechanics, Vol.11 Issue 1-2, ?39-45.
- Srivastav RK and Agnihotri AK (2014b). Non-newtonian power law blood fluid flow through a bell shaped stenosis in artery. Journal of Multidisciplinary Scientific Research 2(4): 15-19.
- Srivastav (2015). Two-Layered Model of Blood Flow Through Arterial Catheterization with non-Symmetric Constriction. J. of Computation in Biosciences and Engineering, Vol. 2, Issue 2, 1-8.
- Srivastav (2017). Blood flow analysis through a bell shaped stenosed artery. Lambert Academic Publishing.
- Srivastava VP and Srivastava R (2009). Particulate suspension blood flow through a narrow catheterized artery. Computers and Mathematics with Applications, 58(2): 227-238.
- Srivastava VP, Rastogi R and Vishnoi R (2010). A two-layered suspension blood flow through an overlapping stenosis. Computers and Mathematics with Applications 60: 432-441.
- Venkatesan J, Sankar DS, Hemalata K and Yatim Y (2013), Mathematical analysis of Casson fluid model for blood rheology in stenosed narrow arteries. Journal of Applied Mathematics, Article ID 583809, 11pages.
- Wilson RF, Johnson MR, Marcus ML, Aylward PEG, Skorton D, Collins S, White CW (1988). The effect of coronary angioplastyon coronary flow reserve. Circulation 77: 873-885.
- Yilmaz, F and Gundogdu MY (2008). A critical review on blood flow in large arteries; relevance to blood rheology, viscosity models and physiologic conditions. Korea Aust. Rheol. J. 20: 197-211.
- Young DF and Tsai FY (1973). Flow characteristics in model of arterial stenosis - steady flow. Journal of Biomechanics 6: 395-410.
Rupesh K. Srivastav, Manisha Gupta and Poonam Sinha. (2017); A STEADY FLOW OF BLOOD THROUGH A STENOSED ARTERY WITH A BALLOON-CATHETER TECHNIQUE., Int. J. of Adv. Res., 5 (05), 1564-1572, ISSN 2320-5407. DOI URL: https://dx.doi.org/10.21474/IJAR01/4284
Department of Mathematics, AIMT, Lucknow-226026, India






