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Numerical study of heat and mass transfer on the pulsatile flow of blood under atherosclerotic condition

  • Muhammad Shahzad Shabbir EMAIL logo , Zaheer Abbas ORCID logo und Nasir Ali
Veröffentlicht/Copyright: 25. Februar 2022
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International Journal of Nonlinear Sciences and Numerical Simulation
Aus der Zeitschrift International Journal of Nonlinear Sciences and Numerical Simulation Band 24 Heft 4

Abstract

The present article investigates the effects of heat and mass transfer on the pulsatile flow of blood through a tapered artery under atherosclerotic conditions. The blood is treated as Sutterby fluid. The wall of the artery is considered to be time-invariant having overlapping stenosis in its lumen. The fully coupled momentum, energy and concentration equations in conjunction with the constitutive equation of Sutterby fluid are simplified by applying the mild stenosis assumption. The governing equations together with the prescribed boundary conditions are discretized and solved by using the finite difference method. The results highlighting the effects of various emerging parameters on the heat and mass transfer are also displayed through graphs. The effects of stenosis height and Prandtl number on the axial variation of Nusselt number are also discussed in detail. A comparison of Sutterby fluid with the Newtonian fluid is also presented to highlight the effects of the Prandtl number on the heat and mass transfer. The present study reveals that the distribution of temperature in the constricted region of the blood vessel is closely associated with the viscoelastic nature of blood. It is also observed that the rate of heat transfer at the wall of the artery can be enhanced by reducing the thermal conductivity.

Keywords: finite difference method; heat and mass transfer; Sutterby fluid; unsteady flow
Corresponding author : Muhammad Shahzad Shabbir, Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, 63100, Pakistan, E-mail:

Acknowledgment

The authors would like to express deep thanks to the reviewers for their constructive comments to improve the quality of the research paper. The first author Muhammad Shahzad Shabbir is very grateful to the Higher Education Commission of Pakistan (HEC) for financial assistance

  1. Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.

  2. Research funding: None declared.

  3. Conflict of interest statement: The authors declare no conflicts of interest regarding this article.

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Received: 2021-04-10
Accepted: 2022-01-18
Published Online: 2022-02-25

© 2022 Walter de Gruyter GmbH, Berlin/Boston

Artikel in diesem Heft

  1. Frontmatter
  2. Original Research Articles
  3. Image-based 3D reconstruction precision using a camera mounted on a robot arm
  4. Switched-line network with digital phase shifter
  5. M-lump waves and their interactions with multi-soliton solutions for the (3 + 1)-dimensional Jimbo–Miwa equation
  6. Optimal control for a class of fractional order neutral evolution equations
  7. Perceptual evaluation for Zhangpu paper-cut patterns by using improved GWO-BP neural network
  8. Two new iterative schemes to approximate the fixed points for mappings
  9. Ulam’s type stability of impulsive delay integrodifferential equations in Banach spaces
  10. Generalization method of generating the continuous nested distributions
  11. Wellposedness of impulsive functional abstract second-order differential equations with state-dependent delay
  12. Numerical study of heat and mass transfer on the pulsatile flow of blood under atherosclerotic condition
  13. Dynamic propagation behaviors of pure mode I crack under stress wave loading by caustics
  14. Numerical simulation of buoyancy-induced heat transfer and entropy generation in 3D C-shaped cavity filled with CNT–Al2O3/water hybrid nanofluid
  15. On coupled system of nonlinear Ψ-Hilfer hybrid fractional differential equations
  16. Hellinger–Reissner variational principle for a class of specified stress problems
  17. Viscous dissipation effect on steady natural convection Couette flow with convective boundary condition
  18. Fredholm determinants and Z n -mKdV/Z n -sinh-Gordon hierarchies
  19. New soliton waves and modulation instability analysis for a metamaterials model via the integration schemes
  20. A modified high-order symmetrical WENO scheme for hyperbolic conservation laws
  21. Cryptanalysis of various images based on neural networks with leakage and time varying delays
  22. Spectral collocation method approach to thermal stability of MHD reactive squeezed fluid flow through a channel
  23. Higher order Traub–Steffensen type methods and their convergence analysis in Banach spaces
https://doi.org/10.1515/ijnsns-2021-0155
Schlagwörter für diesen Artikel
finite difference method; heat and mass transfer; Sutterby fluid; unsteady flow

Artikel in diesem Heft

  1. Frontmatter
  2. Original Research Articles
  3. Image-based 3D reconstruction precision using a camera mounted on a robot arm
  4. Switched-line network with digital phase shifter
  5. M-lump waves and their interactions with multi-soliton solutions for the (3 + 1)-dimensional Jimbo–Miwa equation
  6. Optimal control for a class of fractional order neutral evolution equations
  7. Perceptual evaluation for Zhangpu paper-cut patterns by using improved GWO-BP neural network
  8. Two new iterative schemes to approximate the fixed points for mappings
  9. Ulam’s type stability of impulsive delay integrodifferential equations in Banach spaces
  10. Generalization method of generating the continuous nested distributions
  11. Wellposedness of impulsive functional abstract second-order differential equations with state-dependent delay
  12. Numerical study of heat and mass transfer on the pulsatile flow of blood under atherosclerotic condition
  13. Dynamic propagation behaviors of pure mode I crack under stress wave loading by caustics
  14. Numerical simulation of buoyancy-induced heat transfer and entropy generation in 3D C-shaped cavity filled with CNT–Al2O3/water hybrid nanofluid
  15. On coupled system of nonlinear Ψ-Hilfer hybrid fractional differential equations
  16. Hellinger–Reissner variational principle for a class of specified stress problems
  17. Viscous dissipation effect on steady natural convection Couette flow with convective boundary condition
  18. Fredholm determinants and Z n -mKdV/Z n -sinh-Gordon hierarchies
  19. New soliton waves and modulation instability analysis for a metamaterials model via the integration schemes
  20. A modified high-order symmetrical WENO scheme for hyperbolic conservation laws
  21. Cryptanalysis of various images based on neural networks with leakage and time varying delays
  22. Spectral collocation method approach to thermal stability of MHD reactive squeezed fluid flow through a channel
  23. Higher order Traub–Steffensen type methods and their convergence analysis in Banach spaces
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