One of the phenomena of structural instability observed earlier in viscoelastic fluid flows in cross-channels, namely, the asymmetry of flows in the region of the central singular point is considered. It is shown analytically, by demonstrating symmetric and asymmetric asymptotic solutions in the vicinity of this singular point, that the latter exhibits bifurcation. The fields of velocities and distributions of stresses and pressure provided by asymptotic solutions are compared with their analogs observed experimentally and in numerical simulation. Close association of the existence of asymmetric flows with the viscoelastic nature of fluid is shown.
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 85, No. 6, pp. 1292–1300, November–December, 2012.
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Makarov, I.A. Bifurcation of viscoelastic fluid counterflows. J Eng Phys Thermophy 85, 1397–1405 (2012). https://doi.org/10.1007/s10891-012-0788-5
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DOI: https://doi.org/10.1007/s10891-012-0788-5