The impact of magnetic field on pulsatile blood flow through multi-stenosed tube

Autori

  • Ghangas Jyoti Dept. of Mathematics, M.D. University, Rohtak-124001, Haryana, India Autor
  • Sumeet Gill Dept. of Mathematics, M. D. University, Rohtak-124001, Haryana, India Autor
  • Rajbala Rathee A.I.J.H. Memorial College, Rohtak-124001, Haryana, India Autor
  • Neha Phogat Dept. of Mathematics, M.D. University, Rohtak-124001, Haryana, India Autor
  • Monika Srivastava Centre of Solar Cells and Renewable Energy, Sharda University, Greater Noida, 201310, India Autor
  • Tarun Yadav Department of Basic Sciences, IES Institute of Technology and Management, IES University, Bhopal (M.P.), India Autor
  • Muhd Zu Azhan Bin Yahya Faculty of Defence Science and Technology, Universiti Pertahanan Nasional Malaysia (UPNM), 57000 Kuala Lumpur, Malaysia Autor
  • Serguei V. Savilov Department of Chemistry, Lomonosov Moscow State University, 1–3 Leninskiye Gory, Moscow 119991, Russia Autor

DOI:

https://doi.org/10.62638/ZasMat1235

Ključne reči:

Frobenius method, pressure gradient, peripheral layer, flux profile, two-layered model.

Apstrakt

The flow of blood via a multi-stenosed blood vessel that is modeled as having two layers and passing through a porous media is altered by an external magnetic field, as stated in this paper. In our current research, the explicit solutions of pressure gradient and both central and peripheral velocities are evaluated using the Frobenius Technique. Pictorial representations of the pressure gradient data for various parameters are produced using MATLAB programming. The study proves that variations in the peripheral layer's thickness have an impact on the pressure gradient. These insights might help in the creation of more potent treatments for blood flow-related disorders.

Reference

Whitmore, R. L. Rheology of the Circulation. Pergamon Press, New York, 1968.

Shukla, J. B., Parihar, R. S., & Rao, B. R. P. (1980). Effects of stenosis on non-Newtonian flow of the blood in an artery. Bulletin of Mathematical Biology, 42, 283–294. https://doi.org/10.1016/S0092-8240(80)80051-6

Chaturani, P., & Ponalagusamy, R. (1982). A two-layered model for blood flow through stenosed arteries. Proceedings of the 11th National Conference on Fluid Mechanics and Fluid Power, B.H.E.L. (R and D), Hyderabad, India, 6–22.

Shukla, J. B., Parihar, R. S., & Rao, B. R. P. (1980). Biorheological aspects of blood flow through artery with mild stenosis: Effect of peripheral layer. Biorheology, 17, 403–410.

Shukla, J. B., Parihar, R. S., & Rao, B. R. P. (1980). Effect of peripheral layer viscosity on blood flow through the artery with mild stenosis. Bulletin of Mathematical Biology, 42, 797–805. https://doi.org/10.1016/S0092-8240(80)80003-6

Misra, J. C., & Ghosh, S. K. (1997). A mathematical model for the study of blood flow through a channel with permeable walls. Acta Mechanica, 12, 137–153. https://doi.org/10.1007/BF01181995

Srinivasacharya, D., & Srikanth, D. (2008). Effect of couple stresses on the pulsatile flow through a constricted annulus. Comptus Rendus Mecanique, 336, 820–827. https://doi.org/10.1016/j.crme.2008.09.008

Prasad, K. Maruthi, & Radhakrishnamacharya, G. (2008). Flow of Herschel-Bulkley fluid through an inclined tube of non-uniform cross-section with multiple stenoses. Archives of Mechanics, 60, 161–172.

Ponalagusamy, R., & Tamil Selvi, R. (2011). A study on two-layered model (Casson-Newtonian) for blood through an arterial stenosis: Axially variable slip velocity at the wall. Journal of the Franklin Institute, 348, 2308–2321. https://doi.org/10.1016/j.jfranklin.2011.06.020

Jain, N., Singh, S. P., & Gupta, M. (2012). Steady flow of blood through an atherosclerotic artery: A non-Newtonian model. International Journal of Applied Mathematics and Mechanics, 8, 52–63.

Salahuddin, T., Siddique, N., Khan, M., & Altanji, M. (2022). A significant study on flow analysis of viscoelastic fluid with variable thermo-physical properties. Mathematics and Computers in Simulation, 194, 416–429. https://doi.org/10.1016/j.matcom.2021.11.024

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Objavljeno

2024-09-21

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Rubrika

Scientific paper