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Mathematical Modelling on Blood Flow Under Atherosclerotic Condition

Received: 5 December 2016    Accepted: 15 December 2016    Published: 9 January 2017
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Abstract

The present study discusses the effect of stenosis on flow rate, resistance to flow and wall shear stress for different parameters. A two –layered mathematical model has been incorporated here by considering the peripheral layer as Newtonian fluid and the core layer as Bingham-plastic type non-Newtonian fluid. The numerical results are presented in graphical form.

Published in American Journal of Applied Mathematics (Volume 4, Issue 6)
DOI 10.11648/j.ajam.20160406.19
Page(s) 324-329
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Stenosis, Flux, Wall Shear Stress, Bingham-Plastic Fluid, Resistance to Flow, Yield Stress

References
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[13] Aroesty, Jerry, and Joseph Francis Gross. "Pulsatile Flow in Small Blood Vessels: I. Casson Theory." Biorheology, Vol. 9 (1), 33-43, (1972).
[14] Chakravarty, Santabrata, and Prashanta Kumar Mandal. "Two-dimensional blood flow through tapered arteries under stenotic conditions." International Journal of Non-Linear Mechanics, Vol. 36, 731-741, (2001).
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  • APA Style

    Arun Kumar Maiti. (2017). Mathematical Modelling on Blood Flow Under Atherosclerotic Condition. American Journal of Applied Mathematics, 4(6), 324-329. https://doi.org/10.11648/j.ajam.20160406.19

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    ACS Style

    Arun Kumar Maiti. Mathematical Modelling on Blood Flow Under Atherosclerotic Condition. Am. J. Appl. Math. 2017, 4(6), 324-329. doi: 10.11648/j.ajam.20160406.19

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    AMA Style

    Arun Kumar Maiti. Mathematical Modelling on Blood Flow Under Atherosclerotic Condition. Am J Appl Math. 2017;4(6):324-329. doi: 10.11648/j.ajam.20160406.19

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  • @article{10.11648/j.ajam.20160406.19,
      author = {Arun Kumar Maiti},
      title = {Mathematical Modelling on Blood Flow Under Atherosclerotic Condition},
      journal = {American Journal of Applied Mathematics},
      volume = {4},
      number = {6},
      pages = {324-329},
      doi = {10.11648/j.ajam.20160406.19},
      url = {https://doi.org/10.11648/j.ajam.20160406.19},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20160406.19},
      abstract = {The present study discusses the effect of stenosis on flow rate, resistance to flow and wall shear stress for different parameters. A two –layered mathematical model has been incorporated here by considering the peripheral layer as Newtonian fluid and the core layer as Bingham-plastic type non-Newtonian fluid. The numerical results are presented in graphical form.},
     year = {2017}
    }
    

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    T2  - American Journal of Applied Mathematics
    JF  - American Journal of Applied Mathematics
    JO  - American Journal of Applied Mathematics
    SP  - 324
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    PB  - Science Publishing Group
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    AB  - The present study discusses the effect of stenosis on flow rate, resistance to flow and wall shear stress for different parameters. A two –layered mathematical model has been incorporated here by considering the peripheral layer as Newtonian fluid and the core layer as Bingham-plastic type non-Newtonian fluid. The numerical results are presented in graphical form.
    VL  - 4
    IS  - 6
    ER  - 

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Author Information
  • Department of Mathematics, Shyampur Siddheswari Mahavidyalaya, Howrah, India

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