Applications of fractional derivatives in MHD free-convective oscillating flow of a blood based CNTs nanofluid across a porous medium

Piyu Li, Ali Raza, Essam Roshdy El-Zahar, Kamel Al-Khaled, Sami Ullah Khan, M. Ijaz Khan, M. Riaz Khan*, Fuzhang Wang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


In this continuation, the mixed free convection of carbon nanotube (CNTs) is inspected in a by using the fractional approach. As a base fluid, human blood is considered and carbon nanotube (CNTs) (single and multi-wall carbon nanotubes) are detached in the form of blood-CNTs nanofluid. The leading partial derivative equations of the problem are non dimensionalized with appropriate non-dimensional variables. The leading equations are transformed into the fractional model with modified explanations and formulas of fractional framework. On this end, the Atangana-Baleanu (AB) and Caputo-Fabrizio (CF) definitions have been followed. To find the semi-analytical solution of heat and momentum equations of the fractional model, the Laplace transformation technique is operated via MATLAB software. The comparison between CF and AB fractional algorithms is worked out to judge the accuracy of solution.

Original languageEnglish
JournalProceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering
Publication statusAccepted/In press - 2022
Externally publishedYes


  • Atangana-Baleanu derivatives
  • Laplace transformation
  • carbon nanotubes
  • fractional derivatives
  • heat transfer

ASJC Scopus subject areas

  • Mechanical Engineering
  • Industrial and Manufacturing Engineering

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