Investigation of dynamics of SWCNTs and MWCNTs nanoparticles in blood flow using the Atangana–Baleanu time fractional derivative with ramped temperature

Ali Raza, Kamel Al-Khaled, M. I. Khan*, Saadia Farid, Sami U. Khan, Syed I. Shah, Rifaqat Ali

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


This analysis deals with the mixed free convection flow of nanofluid in the presence of porous space. Human blood is supposed to be a base fluid for which the heat transfer characteristics are performed by using the single- and multi-wall carbon nanotubes. The leading equations of the problem are obtained in dimensionless form by following the appropriate non-dimensional variables. The semi-analytical solution for the temperature and velocity field, the famous Atangana–Baleanu time-fractional derivative and Laplace transform techniques are utilized. The effects of different parameters are studied with interesting physical explanations. The summarized results show that the temperature and velocity profile decreases by varying the value of the fractional parameter. An increasing change in velocity is observed for the Grashof number. Moreover, the solution simulated via fractional model for velocity and temperature profile is more consistent and scalable for any value of the fractional parameter.

Original languageEnglish
JournalProceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering
Publication statusAccepted/In press - 2021
Externally publishedYes


  • Atangana–Baleanu fractional derivatives
  • Heat transfer
  • blood flow
  • nanofluids

ASJC Scopus subject areas

  • Mechanical Engineering
  • Industrial and Manufacturing Engineering

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