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Theoretical study of the blood flow in arteries in the presence of magnetic particles and under periodic body acceleration

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  • Awrejcewicz, Jan
  • Zafar, Azhar Ali
  • Kudra, Grzegorz
  • Riaz, Muhammad Bilal

Abstract

In this article, the dynamics of blood with suspended magnetic particles in coronal and femoral arteries are investigated. The flow of blood is examined in the presence of external magnetic field, periodic body acceleration and a pressure gradient of an oscillating type. Expressions for the velocity of blood and velocity of magnetic particles will be yielded by employing integral transforms. The analytical results will be expressed in terms of steady-state and transient parts. Moreover, to get insight of the control of the material parameters such as amplitude, the lead angle, frequency of body acceleration, magnetic field and particles’ concentration parameter, numerical simulations and graphical illustrations will be used and useful consequences will be summarized.

Suggested Citation

  • Awrejcewicz, Jan & Zafar, Azhar Ali & Kudra, Grzegorz & Riaz, Muhammad Bilal, 2020. "Theoretical study of the blood flow in arteries in the presence of magnetic particles and under periodic body acceleration," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    • Handle: RePEc:eee:chsofr:v:140:y:2020:i:c:s0960077920306007
    DOI: 10.1016/j.chaos.2020.110204
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    References listed on IDEAS

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    1. Jajarmi, Amin & Yusuf, Abdullahi & Baleanu, Dumitru & Inc, Mustafa, 2020. "A new fractional HRSV model and its optimal control: A non-singular operator approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 547(C).
    2. Sajjadi, Samaneh Sadat & Baleanu, Dumitru & Jajarmi, Amin & Pirouz, Hassan Mohammadi, 2020. "A new adaptive synchronization and hyperchaos control of a biological snap oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
    3. Baleanu, Dumitru & Jajarmi, Amin & Mohammadi, Hakimeh & Rezapour, Shahram, 2020. "A new study on the mathematical modelling of human liver with Caputo–Fabrizio fractional derivative," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
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