A fractional-order Maxwell model for non-Newtonian fluids

Y. Carrera, G. Avila-de la Rosa, E.J. Vernon-Carter and J. Alvarez-Ramirez

Physica A: Statistical Mechanics and its Applications, 2017, vol. 482, issue C, 276-285

Abstract: This work considers an extension of the fractional-order Maxwell arrangement to incorporate a relaxation process with non-Newtonian viscosity behavior. The resulting model becomes a fractional-order nonlinear differential equation with stable solution converging asymptotically to a unique equilibrium point. Expressions for the corresponding storage and loss moduli as function of strain frequency and amplitude are computed via a first-harmonic analysis of the differential equation. Some distinctive features and their relationship to the classical and fractional-order linear Maxwell models are discussed. Three examples are used to illustrate the ability of the fractional-order Maxwell model to describe experimental data.

Keywords: Viscoelasticity; Maxwell model; Fractional-order calculus; Frequency sweep; Experimental data (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:482:y:2017:i:c:p:276-285

DOI: 10.1016/j.physa.2017.04.085

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