Flows of a generalized second grade fluid in a cylinder due to a velocity shock

DOI10.1016/j.cjph.2019.06.009OpenAlexW2952956674MaRDI QIDQ6201294

Imran Siddique, Itrat Abbas Mirza, Muhammad Saeed Akram

Publication date: 25 March 2024

Published in: Chinese Journal of Physics (Taipei) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cjph.2019.06.009

zbMATH Keywords

integral transformsCaputo derivativesecond grade fluidfractional fluid

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) General theory for ordinary differential equations (34Axx) Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena (76Axx)

Cites Work

• Unsteady rotating flows of a viscoelastic fluid with the fractional Maxwell model between coaxial cylinders
• Axial couette flow of two kinds of fractional viscoelastic fluids in an annulus
• Fluids of differential type: Critical review and thermodynamic analysis
• A thermodynamic framework for rate-type fluid models
• On some new properties of fractional derivatives with Mittag-Leffler kernel
• A novel compact numerical method for solving the two-dimensional non-linear fractional reaction-subdiffusion equation
• A time-space spectral method for the time-space fractional Fokker-Planck equation and its inverse problem
• A spectral Legendre-Gauss-Lobatto collocation method for a space-fractional advection diffusion equations with variable coefficients
• Certain non-steady flows of second-order fluids
• Start-up flows of second grade fluids in domains with one finite dimension
• A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
• Exact Solutions for the Flow of Fractional Maxwell Fluid in Pipe-Like Domains
• Numerical Evaluation of Two and Three Parameter Mittag-Leffler Functions
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