TY - JOUR

T1 - Applications of fractional derivatives in MHD free-convective oscillating flow of a blood based CNTs nanofluid across a porous medium

AU - Li, Piyu

AU - Raza, Ali

AU - El-Zahar, Essam Roshdy

AU - Al-Khaled, Kamel

AU - Khan, Sami Ullah

AU - Ijaz Khan, M.

AU - Khan, M. Riaz

AU - Wang, Fuzhang

N1 - Publisher Copyright:
© IMechE 2022.

PY - 2022

Y1 - 2022

N2 - 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.

AB - 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.

KW - Atangana-Baleanu derivatives

KW - Laplace transformation

KW - carbon nanotubes

KW - fractional derivatives

KW - heat transfer

UR - http://www.scopus.com/inward/record.url?scp=85125535565&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85125535565&partnerID=8YFLogxK

U2 - 10.1177/09544089221082489

DO - 10.1177/09544089221082489

M3 - Article

AN - SCOPUS:85125535565

JO - Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering

JF - Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering

SN - 0954-4089

ER -