Natural convection flow of radiative maxwell fluid with Newtonian heating and slip effects: Fractional derivatives simulations

Ali Raza, Kamel Al-Khaled, M. Ijaz Khan*, Sami Ullah Khan, Saadia Farid, Absar Ul Haq, Taseer Muhammad

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The unsteady natural convection flow for the maxwell fluid due to infinite plate is inspected with help off ractional derivatives. The effects of slip conditions, Newtonian heating effect, MHD, and radiation are also considered. The recent definitions of fractional derivatives i.e. Atangana-Baleanu (AB) and Caputo-Fabrizio (CF) fractional derivatives are used to construct the fractional modal of leading partial differential equations. The semi-analytical solution of the governing equations is attained by utilizing the Laplace transformation and some numerical techniques i.e. Stehfest and Tzou's algorithms. Moreover, to analyze the physical significance of the under consideration problem, the graphical analysis is explored. The results concluded that the temperature and velocity profile obtained via CF-fractional derivative shows a declining trend when compared with AB-fractional derivative. Furthermore, the velocity and temperature fields were also decayed by varying the value of fractional parameters in both AB and CF cases.

Original languageEnglish
Article number101501
JournalCase Studies in Thermal Engineering
Volume28
DOIs
Publication statusPublished - Dec 2021
Externally publishedYes

Keywords

  • Fractional derivatives
  • Free convection
  • Maxwell fluid
  • Newtonian heating
  • Slip effects

ASJC Scopus subject areas

  • Engineering (miscellaneous)
  • Fluid Flow and Transfer Processes

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