Investigation of blood flow through an artery in the presence of overlapping stenosis
Keywords:Resistance to the flow, Stenosis, Couple stress fluid, Couple stress fluid parameters,
AbstractThe effects of an overlapping stenosis on blood flow characteristics in an artery have been studied. Blood has been represented by a couple stress fluid. The flow equations have been linearised and the expressions for pressure drop, resistance to the flow and wall shear stress have been derived. The results are shown graphically. It is observed that the resistance to the flow, pressure drop and wall shear stress increases with height and length of the stenosis. And it is noticed that the resistance to the flow and pressure drop decreases with couple stress fluid parameters. But wall shear stress increases with couple stress fluid parameters.
Awgichew, Gurju and Radhakrishnamacharya. (2013): Effect of Slip Condition on Couple Stress Fluid Flow through Porous Medium with Stenosis, International Journal of Scientific & Engineering Research, Volume 4, Issue 9, ISSN 2229- 5518.
Arun kumar, Maiti. (2015): Casson Flow of Blood through an Arterial Tube with Overlapping Stenosis. IOSR Journal of Mathematics, Volume11, issue 6, pp.26-31.
Chetti, Boualem.(2011): Static and Dynamic Analysis of Hydrodynamic Four-lobe Journal Bearing with Couple Stress Lubricants, Jordan Journal of Mechanical & Industrial Engineering, Volume 5 Issue 1, p23-28. 6p.
Chaturani, P and Ponnalagar Samy, R. (1986): Pulsatile Flow of Cassons Fluid through Stenosed Arteries with Applications to Blood Flow. Biorhelo.23, 499-511.
Chakravarthy, S and Mandal, P.K. (1994): Mathematical Modeling of Blood Flow through an Overlapping Arterial Stenosis, Mathematical and Computer Modelling Volume 19, No. 1, pp. 59-70.
Fry, D. L. (1972): Localizing Factor in Atherosclerosis, In atherosclerosis and Coronary Heart Disease, New York, Grune Stratton, Volume 85.
Hamzah, Bakhti and Lahcen, Azrar. (2013): Steady Flow of Couple-Stress Fluid in Constricted Tapered Artery: Effects of Transverse Magnetic Field, Moving Catheter, and Slip Velocity, Hindawi Publishing Corporation Journal of Applied Mathematics Volume 2016, Article ID 9289684, 11 pages.
Lee, J.S. and Fung, Y.C.(1970): Flow in Locally -constricted tubes and low Reynolds number, Journal of Applied Mechanics, Transactions ASME, Volume 37, pp.9-16.
Maruthi Prasad, K and Bhuvana Vijaya, R and Umadevi, C. (2014): A Mathematical Model of Herschel- Bulkley Fluid through an Overlapping Stenosis. IOSR Journal of Mathematics, Volume 10, issue 2, pp.41-46.
Nanda, S.P and Basu Malik,B.(2012): A Non- Newtonian Two- Phase Fluid Model for Blood Flow through Arteries under Stenotic Condition. International Journal of Pharma and Bio Sciences, Volume 2. Issue 2, pp.237-247.
Radhakrishnamacharya, G and Srinivasa rao, P. (2007): Flow of a Magnetic Fluid through a Non- Uniform Wavy Tube, Proceedings of the National Academy of Sciences INDIA,Volume 76, 241-245.
Ravi kumar, S. (2015): The Effect of the Couple Stress Fluid Flow on MHD Peristaltic Motion with Uniform Porous Medium in the Presence of Slip Effect, Jordan Journal of Mechanical & Industrial Engineering ,Volume 9 No. 4, ISSN 1995-6665 Pages 269 - 278.
Stokes,VK. (1966): Couple Stresses in Fluids Phys. Fluids 9. 1709-1715. https://doi.org/10.1063/1.1761925
Sapna, S. (2009): Analysis of Non- Newtonian Fluid Flow in a Stenosed Artery, International Journal of Physical Sciences, Volume 4 (11), pp. 663-671.
Sahu, M.K,Sharma, S.K and Agrawal ,A.K.(2010): Study of Arterial Blood Flow in Stenosed Vessel using Non-Newtonian Couple Stress Fluid Model, International Journal of Dynamics of Fluids, Volume 6, pp. 248257.
Srivastava, V.P and Shailesh Mishra.(2010); Non-Newtonian Arterial Blood Flow through an overlapping stenosis. Applications of Applied Mathematics. ISSN: 1932-9466 Volume. 5, Issue 1, pp. 225 -238.
Srinivasacharya,D Srikanth, D(2012): Steady Streaming E?ect on the Flow of a Couple Stress Fluid through a Constricted Annulus, Archives of Mechanics 64, 2 , pp.137 152, Warszawa.
Srinivasacharya, D and Madhavarao, G. (2016): Pulsatile Flow of Couple Stress Fluid through a Bifurcated Artery. Ain Shams Engineering Journal.
Texon, M. (1957): A Homodynamic Concept of Atherosclerosis with Particular Reference to Coronary occlusion, AMA Arch Int Med,Volume 99, pp.418.
Verma,S.R. (2014): Mathematical Modeling of Bingham Plastic Model of Blood Flow through Stenotic vessel, International Journal of Engineering Research and Applications Volume 4, Issue 12(Part 6), pp.11-17.
Young, D.F .(1968): Effects of a Time - Dependency Stenosis on Flow through a Tube, Journal of Engineering for Industry-Transactions of the ASME Volume 90, pp.248-254.
Zendehbudi, G.R and Moayeri, M.S.(1999): Comparison of Physiological and Simple Pulsatile Flows through Stenosed Arteries. Journal of Biomechanics, Vol. 32, pp.959-965.