Effects of the Caputo fractional derivatives on convective flow in wavy vented enclosures filled with a porous medium using Al₂O₃‐Cu hybrid nanofluids

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.

Effect of porous slab thickness and Darcy number on thermohydraulic transport characteristics of Ag–TiO2/water hybrid nanofluid flow‐through partially porous wavy channels

“…Because of their low cost, passive technologies are commonly used in industrial manufacturing. Finned tube, 1,2 contoured tube, inserts, corrugated tube, 3,4 porous media flow, 5,6 converging and diverging channels, 7 and nonfluids flow 8,9 are all commonly used passive technologies. Vicente et al 10 investigated the heat transmission and flow rates of ten various types of corrugated tubes.…”