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Stability of flow of a nonlinear viscous power-law hardening medium in a deformable channel

V. S. Yushutin

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: A dynamical model of a power-law viscous flow past a deformable tube is considered. The problem is axisymmetric. Stationary solutions and their stability with respect to small perturbations are studied. The stability conditions are formulated in terms of nondimensional parameters.

Key words: deformable tube, power-law fluid, stability.

UDC: 539.376

Received: 14.09.2011

 English version: Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2012, 67:4, 99–102

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