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  • 1
    Electronic Resource
    Electronic Resource
    Stagnation flows for the Oldroyd-B fluid (1984)
    Springer
    Rheologica acta 23 (1984), S. 172-176 
    Details
    ISSN: 1435-1528
    Keywords: Stagnation flow ; Oldroyd-B fluid ; boundary-layer thickness
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: Abstract Exact solutions to the plane and axi-symmetric stagnation flows of an Oldroyd-B fluid are reported. It is found that a steady flow is possible if the Weissenberg numberWi, defined by the product of the Maxwellian relaxation time and the shear rate at infinity, satisfies − 1/2 〈Wi 〈 1/m, wherem = 1 in an axisym-metric flow andm = 2 in a plane flow. Furthermore, the fluid elasticity always decreases the boundary-layer thickness. An Oldroyd-B fluid with the parameters matched those of a typical Boger fluid behaves essentially like a Newtonian fluid in a stagnation flow.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01332071
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Squeezing of an Oldroyd-B fluid from a tube: Limiting Weissenberg number (1985)
    Springer
    Rheologica acta 24 (1985), S. 15-21 
    Details
    ISSN: 1435-1528
    Keywords: Squeezing flow ; Oldroyd-B fluid ; similarity solution ; critical Weissenberg number
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: Abstract It is shown that the squeezing flow of an Oldroyd-B fluid from a tube with a prescribed time-dependent radius has an exact separable solution. In the special case where the tube radius varies exponentially with time a similarity solution exists. However, in this case there is a critical Weissenberg number above which a component of the stress tensor increases without bound in time.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01329258
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Squeezing a viscoelastic fluid from a cone (1985)
    Springer
    Rheologica acta 24 (1985), S. 119-126 
    Details
    ISSN: 1435-1528
    Keywords: Squeezing flow ; cone ; limiting Weissenberg number ; Oldroyd-B fluid
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: Abstract The paper reports an exact kinematics for the squeezing flow from a cone of a general viscoelastic fluid. To obtain numerical values for the stresses, a network model that allows stress overshoot and shear-thinning in the start-up of a shear flow is adopted. Both these features are important in this flow. For the special case of an Oldroyd-B fluid it is shown that there is a limiting Weissenberg number above which at least one component of the stresses increases unboundedly with time.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01333238
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    On the stability of the torsional flow of a class of Oldroyd-type fluids (1985)
    Springer
    Rheologica acta 24 (1985), S. 551-555 
    Details
    ISSN: 1435-1528
    Keywords: Torsional flow ; Oldroyd-B fluid ; stability
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: Abstract It is shown that the exact solution of the torsional flow of a class of Oldroyd-type fluids is kinematically similar to that for a Newtonian fluid. Furthermore, it is shown by a linearized stability analysis and by numerical integration, that the basic flow is unstable at high Weissenberg numbers. An Oldroyd fluid which has a negative second-normal stress coefficient is found to be more stable than one with zero (or positive) second-normal stress coefficient in this flow.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01332587
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    Paper (German National Licenses)
    Fulltext
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