This article is cited in 2 papers

Mathematical Modeling

Analysis of a nonlinear dynamic model of the Couette flow for structured liquid in a flat gap

N. A. Belyaeva, K. P. Kuznetsov

Syktyvkar State University, Syktyvkar, Russia

Abstract: Parametric investigation of structured liquid Couette flow in a plain gap is presented. Bifurcation conditions of steady non-uniform solutions are defined from unsteady uniform ones in the nonmonotonic region of rheological curve. Relevant bifurcation diagrams are plotted. The coincidence between the steady-state solution and the solution of unstable problem is noted.

Keywords: Couette flow, structed liquid, bifurcation, nonmonotonic region of rheological curve, parametric investigation.

UDC: 519.635.4:532.135

MSC: Primary 76A05; Secondary 76T99, 76M25

Original article submitted 16/XI/2011
revision submitted – 17/IV/2012

DOI: 10.14498/vsgtu1018

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