Exact solutions for the unsteady axial flow of non-Newtonian fluids through a circular cylinder

DOI10.1016/j.cnsns.2010.03.010zbMath1221.76023OpenAlexW2061915902MaRDI QIDQ718311

Zamra Sajid, Imran Siddique

Publication date: 23 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2010.03.010

zbMATH Keywords

exact solutionsfractional calculusvelocity fieldgeneralized Oldroyd-B fluidlongitudinal shear stress

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Fractional derivatives and integrals (26A33)

Related Items (10)

Some exact solutions for rotating flows of a generalized Burgers' fluid in cylindrical domains ⋮ On the unsteady rotational flow of fractional Oldroyd-B fluid in cylindrical domains ⋮ Network modeling to study the unsteady unidirectional flows of a non-Newtonian fluid problem ⋮ Some new exact analytical solutions for helical flows of second grade fluids ⋮ Translational flows of an Oldroyd-B fluid with fractional derivatives ⋮ Unsteady flow of viscoelastic fluid between two cylinders using fractional Maxwell model ⋮ 3D flow of a generalized Oldroyd-B fluid induced by a constant pressure gradient between two side walls perpendicular to a plate ⋮ Helical flows of Maxwell fluid between coaxial cylinders with given shear stresses on the boundary ⋮ Helical flows of second grade fluid due to constantly accelerated shear stresses ⋮ Unnamed Item

Cites Work

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• Flow of a generalized Oldroyd-B fluid due to a constantly accelerating plate
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• Unsteady flow of viscoelastic fluid with fractional Maxwell model in a channel
• Fluids of differential type: Critical review and thermodynamic analysis
• Exact solutions for some simple flows of an Oldroyd-B fluid
• A thermodynamic framework for rate-type fluid models
• Some exact solutions for the helical flow of a generalized Oldroyd-B fluid in a circular cylinder
• On the formulation of rheological equations of state
• A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
• Onset of oscillatory convection in a porous cylinder saturated with a viscoelastic fluid
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