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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Rheologica acta 28 (1989), S. 233-237 
    ISSN: 1435-1528
    Keywords: Non-linearviscoelasticity ; Jeffreys model ; non-isothermal effects ; Rayleigh problem ; irreversiblethermodynamics
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: Abstract We use a thermodynamic approach to non-linear viscoelasticity which predicts a coupling between the stress tensor and the heat flux, to generalize the Rayleigh problem for an Oldroyd B model of a fluid. For a special choice of the external temperature gradient, we show that thermal effects do alter the hydrodynamic velocity field as well as the first and second normal stress differences. These quantities depend on renormalized parameters wich explicitly depend on temperature and on the strength of the coupling. In particular we find that in contrast to the isothermal situation, the second normal stress difference does not vanish. The possibility of an experimental verification of our theoretical predictions is also mentioned.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Electronic Resource
    Electronic Resource
    New York, NY [u.a.] : Wiley-Blackwell
    Numerical Methods for Partial Differential Equations 2 (1986), S. 317-326 
    ISSN: 0749-159X
    Keywords: Mathematics and Statistics ; Numerical Methods
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics
    Notes: Attention is given to preconditioned conjugate gradients in the solution of systems of partial differential equations which arise in flows of viscoelastic liquids simulated by rheological implicit models. Finite differences discretization is used together with a generalization of the incomplete Cholesky conjugate-gradient method to include asymmetric nonsingular matrices, resulted from the discretization of the kinemetic fields and the pressure recovery problem in also considered in a two-dimensional planar flow.
    Additional Material: 2 Ill.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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