Geodesic
The investigation of non-newtonian effect at flow past cylinder by the cralling flow of viscoelastic fluid in the flat channel with falling weight
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 8 (2009), pp. 125-137 Cet article a éte moissonné depuis la source Math-Net.Ru

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The flow of polymeric liquid in the flat channel with falling weight is considered. The rheological constitutive models for fluids are the following: the viscoelastic model of Oldroyd-B fluid, relaxation model of Phan-Thien–Tanner, which prognosticate polymer solution viscosity anomaly and presence of parallel viscosity in flows, conditioned by normal stress. For this models the numerical results of the task about the falling weight in viscometer are received at different boundary conditions on the walls of the channel. The results have good agreements with numerical and experimental data of other authors.
Keywords: viscoelastic flow, flat channel, finite element method. 
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     title = {The investigation of non-newtonian effect at flow past cylinder by the cralling flow of viscoelastic fluid in the flat channel with falling weight},
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B. A. Snigerev. The investigation of non-newtonian effect at flow past cylinder by the cralling flow of viscoelastic fluid in the flat channel with falling weight. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 8 (2009), pp. 125-137. http://geodesic.mathdoc.fr/item/VSGU_2009_8_a12/

[1] Khappel Dzh., Brener G., Gidrodinamika pri malykh chislakh Reinoldsa, Mir, M., 1976, 623 pp.

[2] Dou H. S., Phan-Thien N., “Negative wake in the uniform flow past a cylinder”, Rheol. Acta, 42 (2003), 383–409 | DOI

[3] Phan-Thien N., Tanner R. I., “A new constitutive equation derived from network theory”, J. Non-Newtonian Fluid. Mech., 2 (1979), 353–365 | DOI

[4] Bird R. B., Armstrong R. C., Hassager O., Dynamics of Polymeric Liquids, v. 1, Fluid Mechanics, 2nd ed., John Wiley and Sons, New York, 1987, 565 pp.

[5] Nazmeev Yu. G., Gidrodinamika i teploobmen zakruchennykh potokov reologicheski slozhnykh zhidkostei, Energoatomizdat, M., 1996, 304 pp.

[6] Konnor Dzh., Brebbia K., Metod konechnykh elementov v mekhanike zhidkosti, Sudostroenie, L., 1979, 264 pp.

[7] B. A. Snigerev et al., “High-order finite volume schemes for viscoelastic flows”, J. Comput. Phys., 199 (2004), 16–40 | DOI | MR | Zbl

[8] Luo X. L., “Operator splitting algorithm for viscoelastic flow and numerical analysis for the flow around sphere in tube”, J. Non-Newtonian Fluid. Mech., 48 (1996), 57–75

[9] Pissanetski V. I., Tekhnologiya razrezhennykh matrits, Mir, M., 1988, 412 pp. | MR

[10] Arigo M. T., McKinley G. H., “An experimental investigation of negative wake behind spheres settling in a shear-thinning visoelsctic fluid”, Rheol. Acta, 37 (1998), 307–327 | DOI