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Area of Science:

  • Fluid dynamics
  • Biomedical engineering
  • Materials science

Background:

  • Human blood flow is a complex phenomenon.
  • Carbon nanotubes offer unique properties for biomedical applications.
  • Magnetohydrodynamics (MHD) principles can influence fluid behavior.

Purpose of the Study:

  • To develop and analyze a novel model for unsteady magnetohydrodynamic convection inflow of blood.
  • To incorporate single and multiwalled carbon nanotubes into blood as the base fluid.
  • To investigate the application of fractional calculus in modeling blood flow.

Main Methods:

  • Utilized weighted average finite difference and nonstandard compact finite difference numerical methods.
  • Employed a proportional Caputo hybrid operator for fractionalizing the model.
  • Conducted stability analysis using John von Neumann stability analysis.

Main Results:

  • The numerical methods proved effective in solving the proposed fractionalized magnetohydrodynamic blood flow model.
  • Graphical representations illustrated the behavior of the blood flow under the modeled conditions.
  • The stability analysis confirmed the robustness of the numerical approach.

Conclusions:

  • The developed numerical techniques are suitable for simulating complex blood flow scenarios with carbon nanotubes.
  • Fractional calculus provides a powerful tool for enhancing the realism of fluid dynamics models.
  • This research contributes to understanding engineered blood flow for potential biomedical applications.