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Date
2025-02-01
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Abstract
This chapter presents fractional-order models of nanofluids and ferrofluids, offering an in-depth discussion on heat transfer, mass transfer, and fluid flow in these materials. Utilizing fractional calculus, the models accurately capture the complex, memory-dependent behaviors of nanofluids and ferrofluids. The chapter begins with an overview of nanotechnology and the unique properties of nanoparticles. It details the thermal properties of nanofluids and hybrid nanofluids, explaining how properties like density, viscosity, and thermal conductivity are influenced by nanoparticles. It introduces fractional-order models for nanofluids, illustrating their use in modeling anomalous diffusion and heat transfer. A case study on fractional buoyant nanofluid flow examines a CMC-based CNT nanofluid in a microchannel. The chapter also covers nanoparticle transport in porous media, focusing on oil recovery, and develops fractional transport equations for these processes. It discusses the impact of nanoparticles in a two-phase flow in oil reservoirs. We highlight their properties and applications, including the manipulation of magnetic nanoparticles with external magnetic fields. The chapter concludes with a case study on the flow and heat transfer of ferromagnetic fluids in porous media.
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Book title
Fractional Modeling of Fluid Flow and Transport Phenomena