A fractional-order Maxwell model for non-Newtonian fluids

作者：Carrera Y; Avila de la Rosa G^*; Vernon Carter E J; Alvarez Ramirez J

来源：Physica A: Statistical Mechanics and Its Applications , 2017, 482: 276-285.

DOI：10.1016/j.physa.2017.04.085

• Viscoelasticity
• Maxwell model
• Fractional-order calculus
• Frequency sweep
• Experimental data

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.

• 出版日期2017-9-15