Relation between Coleman-Noll, Rivlin-Ericksen, Green-Rivlin and Oldroyd fluids

DOI10.1007/BF01587688zbMath0202.25701MaRDI QIDQ2541011

Kenneth Walters

Publication date: 1970

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

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Numerical solutions of some unsteady flows of elastico-viscous liquids ⋮ Fluids of differential type: Critical review and thermodynamic analysis ⋮ Oscillating flows of fractionalized second grade fluid ⋮ A study of shearing flow in polar fluids ⋮ Analytical solutions for the flow of a fractional second grade fluid due to a rotational constantly accelerating shear ⋮ On some unsteady flows of a non-Newtonian fluid ⋮ On some generalizations of the second-grade fluid model ⋮ Magnetohydrodynamic flow of a Sisko fluid in annular pipe: A numerical study ⋮ Spectrally accurate method for analysis of stationary flows of second-order fluids in rough micro-channels ⋮ Steady flow of a second-grade fluid in an annulus with porous walls ⋮ Helical flows of second grade fluid due to constantly accelerated shear stresses ⋮ Boundary layer analysis of oscillating cylinder flows in a viscoelastic liquid ⋮ Flow of a generalized second-grade fluid between two side walls perpendicular to a plate with a fractional derivative model ⋮ Energetic balance for the flow of a second-grade fluid due to a plate subject to a shear stress ⋮ Hydrodynamic stability of non-newtonian media ⋮ Recent advances in the continuum mechanics of viscoelastic liquids

Cites Work

• An approximation theorem for functionals, with applications in continuum mechanics
• Representation theorems in the mechanics of materials with memory
• On the formulation of rheological equations of state
• NON-NEWTONIAN EFFECTS IN SOME ELASTICO-VISCOUS LIQUIDS WHOSE BEHAVIOUR AT SMALL RATES OF SHEAR IS CHARACTERIZED BY A GENERAL LINEAR EQUATION OF STATE
• Small Finite Deformations of Viscoelastic Solids
• The mechanics of non-linear materials with memory
• The mechanics of non-linear materials with memory

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