Start-up flow in a pipe of a double distributed-order Maxwell fluid

DOI10.1016/J.AML.2022.108302zbMath1497.76005OpenAlexW4283785204MaRDI QIDQ2171135

Weidong Yang, Xuehui Chen, Hanbing Xie, Ming-Wen Chen, Lian-Cun Zheng

Publication date: 23 September 2022

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2022.108302

zbMATH Keywords

convergencefinite difference methodweight functiontruncation errorfractional-order model

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Viscoelastic fluids (76A10) Fractional derivatives and integrals (26A33)

Cites Work

• Start-up flow of a viscoelastic fluid in a pipe with a fractional Maxwell's model
• A numerical method for solving the two-dimensional distributed order space-fractional diffusion equation on an irregular convex domain
• Approximation methods for the distributed order calculus using the convolution quadrature
• Rotational motion of fractional Maxwell fluids in a circular duct due to a time-dependent couple
• On the time-fractional Cattaneo equation of distributed order
• Numerical analysis for viscoelastic fluid flow with distributed/variable order time fractional Maxwell constitutive models
• Atangana-Baleanu fractional model for electro-osmotic flow of viscoelastic fluids
• Analysis of viscoelastic non-Newtonian fluid over a vertical forward-facing step using the Maxwell fractional model
• Unsteady boundary layer flow of viscoelastic MHD fluid with a double fractional Maxwell model
• The gradient flow structure of an extended Maxwell viscoelastic model and a structure-preserving finite element scheme
• A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
• Predefined-time control of distributed-order systems

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