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Mathematical Analysis of Casson Fluid Model for Blood Rheology in Stenosed Narrow Arteries

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  • J. Venkatesan
  • D. S. Sankar
  • K. Hemalatha
  • Yazariah Yatim

Abstract

The flow of blood through a narrow artery with bell-shaped stenosis is investigated, treating blood as Casson fluid. Present results are compared with the results of the Herschel-Bulkley fluid model obtained by Misra and Shit (2006) for the same geometry. Resistance to flow and skin friction are normalized in two different ways such as (i) with respect to the same non-Newtonian fluid in a normal artery which gives the effect of a stenosis and (ii) with respect to the Newtonian fluid in the stenosed artery which spells out the non-Newtonian effects of the fluid. It is found that the resistance to flow and skin friction increase with the increase of maximum depth of the stenosis, but these flow quantities (when normalized with non-Newtonian fluid in normal artery) decrease with the increase of the yield stress, as obtained by Misra and Shit (2006). It is also noticed that the resistance to flow and skin friction increase (when normalized with Newtonian fluid in stenosed artery) with the increase of the yield stress.

Suggested Citation

  • J. Venkatesan & D. S. Sankar & K. Hemalatha & Yazariah Yatim, 2013. "Mathematical Analysis of Casson Fluid Model for Blood Rheology in Stenosed Narrow Arteries," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-11, September.
  • Handle: RePEc:hin:jnljam:583809
    DOI: 10.1155/2013/583809
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    Cited by:

    1. Muhammad Shoaib Arif & Kamaleldin Abodayeh & Yasir Nawaz, 2023. "A Computational Scheme for Stochastic Non-Newtonian Mixed Convection Nanofluid Flow over Oscillatory Sheet," Energies, MDPI, vol. 16(5), pages 1-17, February.
    2. Roy, Ashis Kumar & Bég, O. Anwar, 2021. "Asymptotic study of unsteady mass transfer through a rigid artery with multiple irregular stenoses," Applied Mathematics and Computation, Elsevier, vol. 410(C).
    3. Maiti, S. & Shaw, S. & Shit, G.C., 2020. "Caputo–Fabrizio fractional order model on MHD blood flow with heat and mass transfer through a porous vessel in the presence of thermal radiation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    4. Ponalagusamy, R. & Manchi, Ramakrishna, 2020. "A study on two-layered (K.L-Newtonian) model of blood flow in an artery with six types of mild stenoses," Applied Mathematics and Computation, Elsevier, vol. 367(C).

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