Characteristics of Blood Flow Through a Porous Tapered Artery having a Mild Stenoses under the Influence of an External Magnetic Field

K. Maruthi Prasad¹ , Prabhaker Reddy Yasa This email address is being protected from spambots. You need JavaScript enabled to view it.², and J.C. Misra³

¹Department of Mathematics, School of Science, GITAM (Deemed to be University), Hyderabad, Telangana State, India–502329
²Department of Mathematics, B V Raju Institute of Technology (BVRIT), Narsapur, Telangana State, India – 502313
³Ramakrishna Mission Vidyamandira (Autonomous College), Belur Math, Howrah -711202, India , (Formerly, Professor of Mathematics, Indian Institute of Technology, Kharagpur-721302, India)

REFERENCES

1. [1] K Maruthi Prasad and Prabhaker Reddy Yasa. Effect of non-newtonian fluid flow through a permeable nonuniform tube having multiple stenoses. In AIP Conference Proceedings, volume 2246, page 020051. AIP Publishing LLC, 2020.
2. [2] Mukesh Roy, Basant Singh Sikarwar, Mohit Bhandwal, and Priya Ranjan. Modelling of blood flow in stenosed arteries. Procedia computer science, 115:821–830, 2017.
3. [3] A Cemal Eringen. Theory of micropolar fluids. Journal of Mathematics and Mechanics, pages 1–18, 1966.
4. [4] K Maruthi Prasad and Prabhaker Reddy Yasa. Flow of non-newtonian fluid through a permeable artery having non-uniform cross section with multiple stenosis. Journal of Naval Architecture and Marine Engineering, 17(1):31–38, 2020.
5. [5] G Radhakrishnama Charya. Flow of micropolar fluid through a constricted channel. International Journal of Engineering Science, 15(12):719–725, 1977.
6. [6] Rahmat Ellahi, SU Rahman, M Mudassar Gulzar, S Nadeem, and K Vafai. A mathematical study of non-newtonian micropolar fluid in arterial blood flow through composite stenosis. Applied Mathematics & Information Sciences, 8(4):1567, 2014.
7. [7] Kh S Mekheimer and MA El Kot. The micropolar fluid model for blood flow through a tapered artery with a stenosis. Acta Mechanica Sinica, 24(6):637–644, 2008.
8. [8] Ilyani Abdullah and Norsarahaida Amin. A micropolar fluid model of blood flow through a tapered artery with a stenosis. Mathematical methods in the applied sciences, 33(16):1910–1923, 2010.
9. [9] Kh S Mekheimer and MA El Kot. The micropolar fluid model for blood flow through a stenotic arteries. International Journal of Pure and Applied Mathematics, 36(4):393, 2007.
10. [10] K Maruthi Prasad and PR Yasa. Mathematical modelling on an electrically conducting fluid flow in an inclined permeable tube with multiple stenoses. International Journal of Innovative Technology and Exploring Engineering, 9(1):3915–3921, 2019.
11. [11] Noreen Sher Akbar, SU Rahman, R Ellahi, and S Nadeem. Nano fluid flow in tapering stenosed arteries with permeable walls. International Journal of Thermal Sciences, 85:54–61, 2014.
12. [12] Prashanta Kumar Mandal. An unsteady analysis of non-newtonian blood flow through tapered arteries with a stenosis. International Journal of Non-Linear Mechanics, 40(1):151–164, 2005.
13. [13] MU Nasir and MA Alim. Numerical study of blood flow through symmetry and non-symmetric stenosis artery under various flow rates. IOSR Journal of Dental and Medical Sciences, 16(6):106–115, 2017.
14. [14] Taha Sochi. Non-newtonian flow in porous media. Polymer, 51(22):5007–5023, 2010.
15. [15] Md A Ikbal, S Chakravarty, Kelvin KL Wong, J Mazumdar, and Prashanta K Mandal. Unsteady response of non-newtonian blood flow through a stenosed artery in magnetic field. Journal of Computational and Applied Mathematics, 230(1):243–259, 2009.
16. [16] Gaurav Varshney, V Katiyar, and Sushil Kumar. Effect of magnetic field on the blood flow in artery having multiple stenosis: a numerical study. International Journal of Engineering, Science and Technology, 2(2):967–82, 2010.
17. [17] Rekha Bali and Usha Awasthi. Effect of a magnetic field on the resistance to blood flow through stenotic artery. Applied Mathematics and Computation, 188(2):1635–1641, 2007.
18. [18] JC Misra, A Sinha, and GC Shit. Mathematical modeling of blood flow in a porous vessel having double stenoses in the presence of an external magnetic field. International Journal of Biomathematics, 4(02):207–225, 2011.
19. [19] VK Tanwar, NK Varshney, and R Agarwal. Effect of porous medium on blood flow through an artery with mild stenosis under the influence of transverse magnetic field. Int. J. of Math, 5:181–188, 2014.
20. [20] K Maruthi Prasad and PR Yasa. Electrically conducting fluid flow with nanoparticles in an inclined tapering stenoses artery through porous medium. Indian Journal of Science and Technology, 13(48):4708–4722, 2021.
21. [21] JH He. Homotopy perturbation technique, computer methods in applied mechanics and engineering. International J nonlinear mechanics, 35:37–43, 2000.
22. [22] Ji-Huan He. Application of homotopy perturbation method to nonlinear wave equations. Chaos, Solitons & Fractals, 26(3):695–700, 2005.
23. [23] AR Haghighi, N Aliashrafi, and M Kiyasatfar. Mathematical modeling of micropolar blood flow in a stenosed artery under the body acceleration and magnetic field. International Journal of Industrial Mathematics, 11(1):1–10, 2019.
24. [24] Neetu Srivastava. Analysis of flow characteristics of the blood flowing through an inclined tapered porous artery with mild stenosis under the influence of an inclined magnetic field. Journal of Biophysics, 2014, 2014.