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Couple stress nanofluid flow through a bifurcated artery — Application of catheterization process

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Abstract

In this article, we are exploring the hemodynamics of nanofluid, flowing through a bifurcated artery with atherosclerosis in the presence of a catheter. For treating obstruction in the artery, one can use the catheter whose outer surface is carrying the drug coated with nano-particles. The resultant solvent is considered as blood nano-fluid. Blood being a complex fluid, is modeled by couple stress fluid. In the presence of nano-particles, the temperature and the concentration distribution are understood in a bifurcated stenotic artery. The concluded mathematical model is governed by coupled non-linear equations, and are solved by using the homotopy perturbation method. Consequently, we have explored is the effects of fluid and the embedded geometric parameters on the hemodynamics characteristics. It is also realized that high wall shear stress exists for couple stress nano-fluid when compared to Newtonian nanofluid. which is computed at a location corresponding to maximum constriction (z = 12.5) of the artery.

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Authors and Affiliations

  1. Department of Applied Mathematics, Defence Institute of Advanced Technology (Deemed University), Girinagar Pune, 411025, India

    K. M. Surabhi, Arpitha Ravikanti & D. Srikanth

  2. Department of Mathematics, National Institute of Technology, Warangal, 506004, India

    D. Srinivasacharya

Authors
  1. K. M. Surabhi
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  2. Arpitha Ravikanti
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  3. D. Srikanth
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  4. D. Srinivasacharya
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Corresponding author

Correspondence to D. Srikanth.

Additional information

Supported by Council of Scientific and Industrial Research (CSIR), INDIA (25(0262)/17/EMR-II).

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Surabhi, K.M., Ravikanti, A., Srikanth, D. et al. Couple stress nanofluid flow through a bifurcated artery — Application of catheterization process. Appl. Math. J. Chin. Univ. 36, 492–511 (2021). https://doi.org/10.1007/s11766-021-3924-1

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  • DOI: https://doi.org/10.1007/s11766-021-3924-1

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