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2025-02-01
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Abstract
This chapter focuses on the fractional-order models of non-Newtonian fluids, highlighting their complex flow behaviors that cannot be captured by classical Newtonian fluid mechanics. It is devoted to the application of fractional calculus to accurately model the viscoelastic properties and memory effects inherent in non-Newtonian fluids. The chapter explores fractional-order models for different types of non-Newtonian fluids, including power-law, Herschel–Bulkley, Carreau, second-grade, and Casson fluids. Additionally, it examines the fractional modeling of viscoelastic materials. A practical application of these models, such as in food engineering, is discussed, demonstrating their significance in optimizing processing techniques and predicting fluid behavior under various conditions.
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Book title
Fractional Modeling of Fluid Flow and Transport Phenomena