3D flow of a generalized Oldroyd-B fluid induced by a constant pressure gradient between two side walls perpendicular to a plate

DOI10.1016/j.nonrwa.2011.06.010zbMath1231.76016OpenAlexW2000742675MaRDI QIDQ660759

Lian-Cun Zheng, Zhenlin Guo, Xin-xin Zhang

Publication date: 5 February 2012

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2011.06.010

zbMATH Keywords

viscoelastic fluidfractional calculusfox H-functiongeneralized Oldroyd-B model

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Viscoelastic fluids (76A10)

Related Items (6)

Unidirectional flows of fractional Jeffreys' fluids: thermodynamic constraints and subordination ⋮ Finite difference Laguerre-Legendre spectral method for the two-dimensional generalized Oldroyd-B fluid on a semi-infinite domain ⋮ Analytical solutions of multi-term time fractional differential equations and application to unsteady flows of generalized viscoelastic fluid ⋮ Slip effects on a generalized Burgers' fluid flow between two side walls with fractional derivative ⋮ Subordination in a class of generalized time-fractional diffusion-wave equations ⋮ LOCAL AND NONLOCAL DIFFERENTIAL OPERATORS: A COMPARATIVE STUDY OF HEAT AND MASS TRANSFERS IN MHD OLDROYD-B FLUID WITH RAMPED WALL TEMPERATURE

Cites Work

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• Stokes' first problem for a viscoelastic fluid with the generalized Oldroyd-B model
• Unsteady flow of an Oldroyd-B fluid generated by a constantly accelerating plate between two side walls perpendicular to the plate
• Exact solutions for generalized Maxwell fluid flow due to oscillatory and constantly accelerating plate
• Exact solutions for the unsteady axial flow of non-Newtonian fluids through a circular cylinder
• Some accelerated flows for a generalized Oldroyd-B fluid
• Flow of a viscoelastic fluid with the fractional Maxwell model between two side walls perpendicular to a plate
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• Flow of a Maxwell fluid between two side walls due to a suddenly moved plate
• Some accelerated flows of generalized Oldroyd-B fluid between two side walls perpendicular to the plate
• Exact solutions for a viscoelastic fluid with the generalized Oldroyd-B model
• Unsteady flow of a generalized Maxwell fluid with fractional derivative due to a constantly accelerating plate
• Thermodynamics, stability, and boundedness of fluids of complexity 2 and fluids of second grade
• Fluids of differential type: Critical review and thermodynamic analysis
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