Analysis of fractional MHD convective flow with CTNs’ nanoparticles and radiative heat flux in human blood

Maryam Aleem, Mustafa Inc*, Shahzad Sarwar, Muhammad Imran Asjad, A. S.A. Alsubaie

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


The aim of the article is two-fold. We first analyze and investigate free convective, unsteady, MHD blood flow with single- and multiwalled carbon nanotubes (S&MWCNTs) as nanoparticles. The blood flow has been taken across an upright vertical plate, oscillating in its own plane, and engrafted in a porous medium with slip, radiation, and porosity effects. Nanofluids consist of human blood as the base fluid and SWCNTs and MWCNTs as nanoparticles. The second aim is to discuss the three different definitions of fractional derivatives, namely, Caputo (C), Caputo–Fabrizio (CF), and Atangana–Baleanu (ABC), to obtain the solutions of such proposed models by the Adomian decomposition method. The impact of fractional and physical parameters on the concentration, velocity, and temperature of human blood in the presence of the slip effect is studied and projected diagrammatically. The article ends by providing numerical results such as the reliableness, efficiency, and significant features that are simple in computation with eminent accuracy of the process for non-Newtonian Casson nanofluid fractional order models. It is observed that the velocity of the fluid decreases with SWCNTs’ and MWCNTs’ volume fraction, and an increase in the CNTs’ volume fraction increases blood temperature, which ultimately enhances heat transfer rates. The results acquired are in excellent correspondence with the reported results.

Original languageEnglish
Article number962086
JournalFrontiers in Energy Research
StatePublished - 2 Sep 2022

Bibliographical note

Funding Information:
The authors acknowledge the financial support of Taif University Researchers Supporting Project number (TURSP-2020/189), Taif University, Taif, Saudi Arabia.

Publisher Copyright:
Copyright © 2022 Aleem, Inc, Sarwar, Asjad and Alsubaie.


  • Atangana–Baleanu derivative
  • Caputo–Fabrizio derivative
  • heat and mass transfer
  • radiative heat transfer
  • slip condition

ASJC Scopus subject areas

  • Renewable Energy, Sustainability and the Environment
  • Fuel Technology
  • Energy Engineering and Power Technology
  • Economics and Econometrics


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