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Effects of the Caputo fractional derivatives on convective flow in wavy vented enclosures filled with a porous medium using Al 2 O 3 ‐Cu hybrid nanofluids
Author(s) -
Ahmed Sameh E.,
Mansour Mohamed A.,
AbdelSalam Emad A.B.,
Mohamed Eman F.
Publication year - 2020
Publication title -
heat transfer
Language(s) - English
Resource type - Journals
eISSN - 2688-4542
pISSN - 2688-4534
DOI - 10.1002/htj.21699
Subject(s) - nanofluid , porous medium , heat transfer , materials science , mechanics , convective heat transfer , fractional calculus , flow (mathematics) , thermodynamics , fluid dynamics , convection , partial differential equation , enclosure , volumetric flow rate , porosity , physics , composite material , mathematics , mathematical analysis , computer science , telecommunications
Abstract This paper studies the effect of fractional derivatives on the fractional convective flow of hybrid nanofluids in a wavy enclosure that has inlet and outlet parts near the left wall and is filled with a porous medium. The Caputo definition of the fractional derivatives is applied on the partial differential equations governing flow. The complex shape is mapped to a rectangular domain using appropriate transformations. The finite difference method is used to solve the resulting system. The results showed that an increase in order of the fractional derivatives causes a low activity of the fluid flow and a reduction in the rate of heat transfer. Also, an increase in the nanoparticles volume fractions reduces the activity of the fluid flow and, as a result, the rate of heat transfer is diminished. An enhancement in fluid motion and rate of the heat transfer is obtained by increasing the amplitude of the wavy wall.