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Pulsatile flow of thixotropic blood in artery under external body acceleration and uniform magnetic field: Biomedical Application

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Abstract

In this work, a numerical model is carried out to investigate the magneto-hemodynamics of blood driven by an oscillating pressure gradient and exposed to a uniform magnetic field and an external body acceleration. The non-Newtonian nature of blood was taken into account using a time-dependent thixotropic model. Incompressible, axisymmetric, and laminar flow assumptions were used to simplify the non-linear partial differential equations. The velocity field and wall shear stress distribution are numerically solved using the finite difference method. The analytical solution of the velocity distribution of a fully developed pulsatile flow of a Newtonian fluid is used to validate the numerical solution. Further research is done into how structural traits, the average of the pressure gradient, body acceleration, and the magnetic field affect the magneto-hemodynamic properties of blood. The findings indicate how the various characteristics taken into account affected the blood's magneto-hemodynamic behavior in arteries.

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References

  1. Ali A, Fatima A, Bukhari Z, Farooq H, Abbas Z (2021) Non-Newtonian Casson pulsatile fluid flow influenced by Lorentz force in a porous channel with multiple constrictions: a numerical study. Korea Aust Rheol J 33(1):79–90

    Google Scholar 

  2. Abbasi FM, Shehzad SA (2021) Heat transfer analysis for EMHD peristalsis of ionic-nanofluids via curved channel with Joule dissipation and Hall effects. J Biol Phys 47(4):455–476

    Google Scholar 

  3. Akbar NS, Nadeem S (2014) Carreau fluid model for blood flow through a tapered artery with a stenosis A. Shams Eng J 24:1307–1316

    Google Scholar 

  4. Barnes HA (1997) Thixotropy—a review. J Non Newtonian Fluid Mech 70:1–33

    CAS  Google Scholar 

  5. Bég OA, Ferdows M, Shamima S, Islam MN (2014) Numerical simulation of Marangonimagnetohydrodynamic bio-nanofluid convection from a non-isothermal surface with magnetic induction effects: a bio-nanomaterial manufacturing transport model. J Mech Med Biol 14(03):1450039

    Google Scholar 

  6. Chaube MK, Yadav A, Tripathi D, Bég OA (2018) Electroosmotic flow of biorheological micropolar fluids through microfluidic channels. Korea Aust Rheol J 30:89–98

    Google Scholar 

  7. Chaube MK, Yadav A, Dharmendra Y (2018) Electroosmotically induced alterations in peristaltic microflows of power law fluids through physiological vessels. J Braz Soc Mech Sci Eng 40:423

    Google Scholar 

  8. Chaturani P, Palanisamy V (1990) Pulsatile flow of power-law fluid model for blood flow under periodic body acceleration. Biorheology 27(5):747–758

    CAS  Google Scholar 

  9. Chaturani P, Palanisamy V (1990) Casson fluid model for pulsatile flow of blood under periodic body acceleration. Biorheology 27:619–630

    CAS  Google Scholar 

  10. Cheffar L, Benslimane A, Sadaoui D, Benchabane A, Bekkour K (2022) Pulsatile flow of thixotropic blood in artery under external body acceleration. Comput Methods Biomech Biomed Eng 26:1–14

    Google Scholar 

  11. Derksen JJ (2011) Simulations of thixotropic liquids. Appl Math Model 35:1656–1665

    Google Scholar 

  12. Fisher C, Rossmann J (2009) Effect of non-Newtonian behavior on hemodynamics of cerebral aneurysms. J Biomech Eng 131:091004

    Google Scholar 

  13. Frolov SV, Sindeev SV, Liepsch D, Balasso A, Arnold P, Kirschke JS, Prothmann A, Potlov Y (2018) Newtonian and non-Newtonian blood flow at a 90—bifurcation of the cerebral artery: a comparative study of fluid viscosity models. J Mech Med Biol 18:1850043

    Google Scholar 

  14. Fung YC (1993) Biomechanics: mechanical properties of living tissues. Springer, New York

    Google Scholar 

  15. Garg P, Swift AJ, Zhong L et al (2020) Assessment of mitral valve regurgitation by cardiovascular magnetic resonance imaging. Nat Rev Cardiol 17(5):298–312

    Google Scholar 

  16. Horner JS, Armstrong MJ, Wagner NJ, Beris AN (2019) Measurements of human blood viscoelasticity and thixotropy under steady and transient shear and constitutive modeling thereof. J Rheol 63:799

    CAS  Google Scholar 

  17. Ku DN (1997) Blood flow in arteries. Annu Rev Fluid Mech 29:399

    Google Scholar 

  18. López-Aguilar JE, Webster MF, Tamaddon-Jahromi HR, Manero O (2015) Numerical modeling of thixotropic and viscoelastoplastic materials in complex flows. Rheol Acta 54:307–325

    Google Scholar 

  19. MacDonald DA (1979) On steady flow through modeled vascular stenoses. J Biomech 12:13–20

    CAS  Google Scholar 

  20. Massoudi M, Phuoc TX (2008) Pulsatile flow of blood using a modified second-grade fluid model. Comput Math Appl 56(1):199–211

    Google Scholar 

  21. Misra JC, Sahu BK (1988) Flow-through blood vessels under the action of a periodic body acceleration field: a mathematical analysis. Comput Math Appl 16:993–1016

    Google Scholar 

  22. Misra JC, Maiti S (2012) Peristaltic pumping of blood in small vessels of varying cross section. ASME J Appl Mech 79:1–19

    Google Scholar 

  23. Misra JC, Chandra S, Shit GC, Kundu PK (2013) Thermodynamic and magnetohydrodynamic analysis of blood flow considering rotation of micro-particles of blood. J Mech Med Biol 13(01):1350013

    Google Scholar 

  24. Mondal A, Shit GC (2017) Transport of magneto-nanoparticles during electro-osmotic flow in a micro-tube in the presence of magnetic field for drug delivery application. J Magn Magn Mater 442:319–328

    CAS  Google Scholar 

  25. Moore F (1959) The rheology of ceramic slip and bodies. Trans Brit Ceram Soc 58:470–492

    CAS  Google Scholar 

  26. Nezamidoost S, Sadeghy K (2012) Peristaltic pumping of thixotropic fluids: a numerical study. Nihon Reoroji Gakkaishi 40:1–9

    CAS  Google Scholar 

  27. Nezamidoost S, Sadeghy K, Askari V (2013) Pulsatile flow of thixotropic fluids through a partially-constricted tube. Nihon Reoroji Gakkaishi 41:45–52

    CAS  Google Scholar 

  28. Pasek J, Pasek T, Sieroń-Stołtny K, Cieślar G, Sieroń A (2016) Electromagnetic fields in medicine—the state of art. Electromagn Biol Med 35(2):170–175

    CAS  Google Scholar 

  29. Pritchard D, Croudace AI, Wilson SK (2020) Thixotropic pumping in a cylindrical pipe. Phys Rev Fluids 5:013303

    Google Scholar 

  30. Rashidi S, Esfahani JA, Maskaniyan M (2017) Applications of magnetohydrodynamics in biological systems-a review on the numerical studies. J Magn Magn Mater 439:358–372

    CAS  Google Scholar 

  31. Samijo SK, Willigers JM, Barkhuysen R, Kitslaar PJEHM, Reneman RS, Brands PJ, Hoeks APG (1998) Wall shear stress in the human common carotid artery as function of age and gender. Cardiovasc Res 39(2):515–522

    CAS  Google Scholar 

  32. Sankar DS, Hemalatha K (2007) Pulsatile flow of Herschel–Bulkley fluid through catheterized arteries—a mathematical model. Appl Math Model 31:1497–1517

    Google Scholar 

  33. Sarifuddin CS, Mandal PK, Layek GC (2008) Numerical simulation of unsteady generalized Newtonian blood flow through differently shaped distensible arterial stenoses. J Med Eng Technol 32:385–399

    CAS  Google Scholar 

  34. Shit GC, Roy M (2011) Pulsatile flow and heat transfer of a magneto-micropolar fluid through a stenosed artery under the influence of body acceleration. J Mech Med Biol 11:643–661

    Google Scholar 

  35. Shit GC, Majee S (2015) Pulsatile flow of blood and heat transfer with variable viscosity under magnetic and vibration environment. J Magn Magn Mater 388:106–115

    CAS  Google Scholar 

  36. Sobhani SMJ, Khabazi NP, Bazargan S, Sadeghi P, Sadeghy K (2019) Peristaltic transport of thixotropic fluids: a numerical simulation. Korea Aust Rheol J 31(2):71–79

    Google Scholar 

  37. Srivastava LM, Edemeka UE, Srivastava VP (1993) Particulate suspension model for blood flow under external body acceleration. Int J Biomed Comput 37:113–129

    Google Scholar 

  38. Sud VK, Von Gierke HE, Kaleps I, Oestreicher HL (1983) Blood flow under the influence of externally applied periodic body acceleration in large and small arteries. Med Biol Eng Comput 21:446–452

    CAS  Google Scholar 

  39. Tao R, Huang K (2011) Reducing blood viscosity with magnetic fields. Phys Rev E 84(1):011905

    CAS  Google Scholar 

  40. Varshney G, Katiyar VK (2010) Numerical modeling of pulsatile flow of blood through a stenosed tapered artery under periodic body acceleration. J Mech Med Biol 10:251–272

    Google Scholar 

  41. Womersley J (1955) Method for the calculation of velocity, rate of flow and viscous drag in arteries when the pressure gradient is known. J Physiol 127:553–563

    CAS  Google Scholar 

  42. Yeom E, Kang YJ, Lee SJ (2014) Changes in velocity profile according to blood viscosity in a microchannel. Biomicrofluidics 8(3):034110

    Google Scholar 

  43. Young DF (1979) Fluid mechanics of arterial stenosis. J Biomech Eng Trans ASME 101:157–175

    Google Scholar 

  44. Zaman A, Ali N, Bég OA (2016) Numerical study of unsteady blood flow through a vessel using Sisko model. Eng Sci Technol Int J 19:538–547

    Google Scholar 

  45. Zaman A, Ali N, Bég OA (2016) Unsteady magnetohydrodynamic blood flow in a porous-saturated overlapping stenotic artery—numerical modeling. J Mech Med Biol 16(04):1650049

    Google Scholar 

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Funding

The authors thank the DGRSDT-MESRS for their financial support. We thank the editor and anonymous reviewers for their careful reading of our manuscript and their many insightful comments and suggestions, which helped us to improve the manuscript.

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Authors and Affiliations

  1. Laboratoire de Mécanique, Matériaux et Energétique, Université de Bejaia, Targa Ouzemmour, 06000, Bejaïa, Algeria

    Louiza Cheffar, Abdelhakim Benslimane & Djamel Sadaoui

  2. ICube Mechanical Department, CNRS/University of Strasbourg, 67000, Strasbourg, France

    Karim Bekkour

  3. Université de Biskra, Biskra, Algeria

    Adel Benchabane

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  1. Louiza Cheffar
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  2. Abdelhakim Benslimane
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  3. Karim Bekkour
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  4. Djamel Sadaoui
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  5. Adel Benchabane
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Correspondence to Abdelhakim Benslimane.

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Cheffar, L., Benslimane, A., Bekkour, K. et al. Pulsatile flow of thixotropic blood in artery under external body acceleration and uniform magnetic field: Biomedical Application. Korea-Aust. Rheol. J. 35, 361–372 (2023). https://doi.org/10.1007/s13367-023-00066-x

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  • DOI: https://doi.org/10.1007/s13367-023-00066-x

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