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International Journal of Pure & Applied Mathematical Research

ANALYTICAL SOLUTIONS FOR PULSATILE BLOOD FLOW THROUGH STENOSISED ARTERIES: EFFECTS OF VARIABLE VISCOSITY AND VESSEL WALL ELASTICITY

T. Sivakumar, S. Nirmaladevi

T. Sivakumar, Department of Mathematics, Government Arts and Science College, Modakkurichi, Erode

S. Nirmaladevi, Department of Mathematics, Government Arts and Science College, Modakkurichi, Erode

DOI : https://doi.org/10.5281/zenodo.18383711 Page No : 01-10

Published Online : 2022-06-30

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ABSTRACT

This study addresses a theoretical gap in hemodynamics by developing a comprehensive analytical framework for the pulsatile blood flow. In contrast to previous models that assume rigid boundaries or Newtonian fluids, this study concurrently considers non-Newtonian variable viscosity and arterial wall compliance. Through the application of perturbation methods, we derived closed-form expressions for the velocity, pressure gradient, and Wall Shear Stress (WSS).

Keywords: Pulsatile Blood Flow, Stenosised Arteries, Wall Shear Stress (WSS), Newtonian fluids

REFERENCES

Akbar, N. S., et al. (2015). Influence of nanofluid characteristics on blood flow through tapered stenosed arteriesJournal of Biological Physics .
Mekheimer, K. S., et al. (2015). Yield stress effects on non-Newtonian flow through stenotic arteries. Applied Mathematics and Computation .
Ponalagusamy, R., & Selvi, R. (2015). Effects of wall slip on hemodynamics in stenosed arteries. European Physical Journal Plus .
Zaman, A., et al. (2015). Cross-fluid model for flow through overlapping stenoses. Mathematical Problems in Engineering .
Ahmed, S. A., & Giddens, D. P. (2015/2016). Pulsatility and wall movement in mild stenosis: Experimental validation. Journal of Biomechanics .
Halin, S., et al. (2016). Sutterby fluid model for blood flow in small capillaries. Physics of Fluids .
Ismail, Z., et al. (2016). Power-law model analysis of unsteady pulsatile flow in bifurcated arteries. Journal of Mechanics in Medicine and Biology .
Sanyal, D. C., & Maji, N. K. (2016). Pulsatile flow through an elastic tube: A damping effect analysis. International Journal of Engineering Science .
Tanwar, V. (2016). Impact of Magnetohydrodynamics (MHD) on blood flow velocity. Biomagnetic FluidDynamics .
Nagarani, P. (2017). External body acceleration and MHD effects in stenosed arteries. Journal of Magnetism and Magnetic Materials .
Shanthi, S., et al. (2017). Comparative study of Casson and Herschel-Bulkley models in catheterized arteries. Applied Bionics and Biomechanics .
Srivastava, V. P. (2017). Analytical investigation of pressure-velocity in catheterized stenosed vessels. Medical Engineering andPhysics .
Ijaz, S., & Bhatti, M. M. (2018). Entropy Generation analysis in MHD blood flow with wall elasticity. Entropy .
Paul, A., et al. (2018). TAWSS and OSI as indicators for plaque formation. Annals of Biomedical Engineering .
Ponalagusamy, R., & Priyadharshini, S. (2018). Non-linearly radiating blood flow through porous stenosed arteries. Heat and Mass Transfer .
Sadeghi, R., et al. (2018). FSI of pulsatile flow through flexible stenosis using Finite Element Method. Computers in Biology and Medicine .
Bhatti, M. M., et al. (2019). Impact of Activation Energy and microorganisms on blood flow. Microvascular Research .
Radha, S., & Kavitha, S. (2019). Couple Stress fluid flow in multi-stenosis models. Journal of Molecular Liquids .
Sekar, R., et al. (2019). Machine learning precursors for stenosis shape categorization. Computer Methods and Programs in Biomedicine .

Cite this Article as : T. Sivakumar & Nirmaladevi (2022), “Analytical Solutions for Pulsatile Blood Flow Through Stenosised Arteries: Effects of Variable Viscosity and Vessel Wall Elasticity”, International Journal of Pure & Applied Mathematical Research, Vol. 6, Issue 1, 2022, pp 1-10, DOI: https://doi.org/10.5281/zenodo.18383711

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REFERENCES

Akbar, N. S., et al. (2015). Influence of nanofluid characteristics on blood flow through tapered stenosed arteriesJournal of Biological Physics .
Mekheimer, K. S., et al. (2015). Yield stress effects on non-Newtonian flow through stenotic arteries. Applied Mathematics and Computation .
Ponalagusamy, R., & Selvi, R. (2015). Effects of wall slip on hemodynamics in stenosed arteries. European Physical Journal Plus .
Zaman, A., et al. (2015). Cross-fluid model for flow through overlapping stenoses. Mathematical Problems in Engineering .
Ahmed, S. A., & Giddens, D. P. (2015/2016). Pulsatility and wall movement in mild stenosis: Experimental validation. Journal of Biomechanics .
Halin, S., et al. (2016). Sutterby fluid model for blood flow in small capillaries. Physics of Fluids .
Ismail, Z., et al. (2016). Power-law model analysis of unsteady pulsatile flow in bifurcated arteries. Journal of Mechanics in Medicine and Biology .
Sanyal, D. C., & Maji, N. K. (2016). Pulsatile flow through an elastic tube: A damping effect analysis. International Journal of Engineering Science .
Tanwar, V. (2016). Impact of Magnetohydrodynamics (MHD) on blood flow velocity. Biomagnetic FluidDynamics .
Nagarani, P. (2017). External body acceleration and MHD effects in stenosed arteries. Journal of Magnetism and Magnetic Materials .
Shanthi, S., et al. (2017). Comparative study of Casson and Herschel-Bulkley models in catheterized arteries. Applied Bionics and Biomechanics .
Srivastava, V. P. (2017). Analytical investigation of pressure-velocity in catheterized stenosed vessels. Medical Engineering andPhysics .
Ijaz, S., & Bhatti, M. M. (2018). Entropy Generation analysis in MHD blood flow with wall elasticity. Entropy .
Paul, A., et al. (2018). TAWSS and OSI as indicators for plaque formation. Annals of Biomedical Engineering .
Ponalagusamy, R., & Priyadharshini, S. (2018). Non-linearly radiating blood flow through porous stenosed arteries. Heat and Mass Transfer .
Sadeghi, R., et al. (2018). FSI of pulsatile flow through flexible stenosis using Finite Element Method. Computers in Biology and Medicine .
Bhatti, M. M., et al. (2019). Impact of Activation Energy and microorganisms on blood flow. Microvascular Research .
Radha, S., & Kavitha, S. (2019). Couple Stress fluid flow in multi-stenosis models. Journal of Molecular Liquids .
Sekar, R., et al. (2019). Machine learning precursors for stenosis shape categorization. Computer Methods and Programs in Biomedicine .

Int. J.of Pure & App Math. Res.

ANALYTICAL SOLUTIONS FOR PULSATILE BLOOD FLOW THROUGH STENOSISED ARTERIES: EFFECTS OF VARIABLE VISCOSITY AND VESSEL WALL ELASTICITY

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