On the non-orthogonal stagnation flow of the Oldroyd-B fluid

DOI10.1007/BF00942849zbMath0789.76008OpenAlexW2082651454MaRDI QIDQ1315369

Nhan Phan-Thien, Rong Zheng

Publication date: 13 June 1994

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00942849

zbMATH Keywords

perturbationordinary differential equationsparallel platesparameter continuation methodlimiting Weissenberg number

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Viscoelastic fluids (76A10)

Related Items (5)

Time-dependent Poiseuille flows of visco-elasto-plastic fluids ⋮ Oblique stagnation slip flow of a micropolar fluid towards a stretching/shrinking surface: a stability analysis ⋮ A two-parameter defect-correction method for computation of steady-state viscoelastic fluid flow ⋮ Computation of viscoelastic fluid flows using continuation methods ⋮ Non integrable extra stress tensor solution for a flow in a bounded domain of an Oldroyd fluid

Cites Work

• Cone-and-plate flow of the Oldroyd-B fluid is unstable
• Viscoelastic flow in a curved channel: A similarity solution for the Oldroyd-B fluid
• Squeezing a viscoelastic liquid from a wedge: An exact solution
• On the high Weissenberg number problem
• On the flow of a non-Newtonian fluid between rotating, coaxial discs
• Analytic results for viscoelastic flow in a porous tube
• An exact solution for the slow flow of a general linear viscoelastic fluid through a slit
• Flow along the centreline behind a sphere in a uniform stream
• Stability of a nonorthogonal stagnation flow to three-dimensional disturbances
• The flow of a visco-elastic fluid near a point of re-attachment
• Viscoelastic squeeze-film flows – Maxwell fluids
• A locally parameterized continuation process
• Coaxial-disk flow and flow about a rotating disk of a Maxwellian fluid
• Stagnation flows for the Oldroyd-B fluid
• Squeezing of an Oldroyd-B fluid from a tube: Limiting Weissenberg number
• An exact solution of the Navier-Stokes equation which describes non-orthogonal stagnation-point flow in two dimensions
• A three-dimensional stretching flow of an Oldroyd fluid
• Plane and axi-symmetric stagnation flow of a Maxwellian fluid

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