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Supervisor
Date
2025-02-01
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Abstract
This chapter discusses the application of fractional calculus to model magneto- and electrohydrodynamics (MHD and EHD) in various fluid systems. The fractional models provide a comprehensive framework for capturing the complex behaviors of ionized fluids under the influence of electric and magnetic fields. By incorporating fractional-order derivatives these models account for memory effects and nonlocal interactions, which are crucial for accurately describing anomalous diffusion and viscoelastic properties. The chapter also explores electroosmotic flow in microfluidic devices, the dynamics of Maxwell fluids in boundary layer flows, and the impact of fractional derivatives on viscoelastic material modeling. Case studies and numerical methods are presented to illustrate the practical applications of these fractional models in engineering and scientific research.
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Book title
Fractional Modeling of Fluid Flow and Transport Phenomena