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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)
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  • 5
    Electronic Resource
    Electronic Resource
    Neural-network-based approximations for solving partial differential equations (1994)
    Chichester : Wiley-Blackwell
    Communications in Numerical Methods in Engineering 10 (1994), S. 195-201 
    Details
    ISSN: 1069-8299
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A numerical method, based on neural-network-based functions, for solving partial differential equations is reported in the paper. Using a ‘universal approximator’ based on a neural network and point collocation, the numerical problem of solving the partial differential equation is transformed to an unconstrained minimization problem. The method is extremely easy to implement and is suitable for obtaining an approximate solution in a short period of time. The technique is illustrated with the aid of two numerical examples.
    Additional Material: 4 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/cnm.1640100303
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    Paper (German National Licenses)
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