ABSTRACT
The fractionalized nanofluid models are more general and better in the description of memory effect and to analyze the influence of flow parameters. Recently, Atangana and Baleanu introduced new fractional derivatives in Riemann-Liouville and Caputo sense. The flow of different types of fractionalized nanofluids over an infinite plate is studied by Saqib et al. using a Caputo fractional derivative approach. Murshed et al. reported that carbon nanotubes-based nanofluids have six times higher thermal conductivity when compared with other material nanofluids at room temperature. Safaei et al. studied the heat transfer flow of water-based fractionalized MWCNTs nanofluid. Based on the discussed literature, this chapter focuses on the convective flow of carboxy-methyl-cellulose (CMC)-based-carbon nanotubes (CNTs) nanofluid in a vertical microchannel embedded in a porous medium. The time fractional model of the convective flow of CMC-based-CNT’s nanofluid through a porous media in a microchannel is studied in this chapter. The ordinary (classical model) is generalized using Atangana–Baleanu fractional approach.
