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  • 1
    Electronic Resource
    Electronic Resource
    Peristaltic pumping of a second-order fluid in a planar channel (1991)
    Springer
    Rheologica acta 30 (1991), S. 249-262 
    Details
    ISSN: 1435-1528
    Keywords: Peristalsis ; second-order fluid
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: Abstract The peristaltic motion of a non-Newtonian fluid represented by the constitutive equation for a second-order fluid was studied for the case of a planar channel with harmonically undulating extensible walls. A perturbation series for the parameter δ (δ ≡ half-width of channel/wave length) obtained explicit terms of 0(δ2), 0(δ2Re2) and 0(λ1Reδ2) respectively representing curvature, inertia and the non-Newtonian character of the fluid. Numerical computations were performed and compared to the perturbation analysis in order to determine the range of validity of the terms.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00366638
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  • 2
    Electronic Resource
    Electronic Resource
    Peristaltic motion of a third-order fluid in a planar channel (1993)
    Springer
    Rheologica acta 32 (1993), S. 47-56 
    Details
    ISSN: 1435-1528
    Keywords: Peristalsis ; third-order fluid ; channel flow
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: Abstract In order to determine the characteristics of the peristaltic transport of shear thinning non-Newtonian materials, the motion of a third-order fluid in a planar channel having walls that are transversely displaced by an infinite, harmonic traveling wave of large wavelength and negligibly small Reynolds number was analyzed using a perturbation expansion in terms of a variant of the Deborah number. Within the range of validity of this analysis, we found the pumping rate of a shear-thinning fluid is less than that for a Newtonian fluid having a shear viscosity the same as the lower-limiting viscosity of the nonNewtonian material. Also, the space of variables for which trapping of a bolus of fluid occurs is reduced for the shear-thinning fluid investigated here.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00396676
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    Paper (German National Licenses)
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