Particle-fluid suspension model of blood flow through stenotic vessels with applications |
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| Institution: | 1. Department of Mathematics, Quaid-I-Azam University, 45320, Islamabad 44000, Pakistan;2. Department of Mathematics, COMSATS Institute of Information Technology, G.T. Road, Wah Cantt 47040, Pakistan;3. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia;1. Department of Mathematics, Lovely Professional University, Jalandhar, 144411, India;2. Department of Mathematics, Visvesvaraya National Institute of Technology, Nagpur, 440010, India;1. Department of Mathematics, Agni College of Technology, Thalambur, Chennai 600130, India;2. Department of Mechanical Engineering, Manipal University Jaipur, Rajasthan 303007, India |
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| Abstract: | The present study deals with the problem of blood flow through stenotic vessels when blood is represented by a particle-fluid suspension model, i.e. a suspension of red blood cells in plasma. The expressions for the dimensionless resistance to flow, the wall shear stress, and the shearing stress on the wall at the maximum height of the stenosis are derived. The results obtained in the analysis are discussed in brief, both qualitatively and quantitatively by comparison with other theories. It is observed that the magnitudes of the blood flow characteristics significantly increase with an increase in the red cell concentration. The importance of the decreasing vessel diameter is also pointed out. Finally, to observe the biological relevance of the analysis, the results obtained are used to compute the blood flow characteristics for normal and diseased blood using the experimental data from published literature and results are compared with those computed using the present theoretical approach. |
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