Author(s)

Roger E. Khayat

Abstract

Emergence of nonlinear dynamics in 3D cavity mixing of linear fluids Roger E. Khayat of Mzc/zamW fW MafzrmAs y q/" Abstract The emergence of nonlinear dynamics in cavity mixing is examined using the BEM. The formulation is implemented for the simulation of 3D transient creeping flows of Newtonian and linear viscoelastic fluids of the Oldroyd-B type. A boundary-only formulation in the time domain is proposed for viscoelastic flows. It is found that, for simple cavity flow induced by a rotating vane at constant angular velocity, the traction at the vane tip and cavity face exhibits nonlinear periodic dynamical behavior with time for fluids obeying linear constitutive equations. 1 Introduction Mixing flows constitute a class of the moving-boundary type, which remain little explored because of their geometric complexity. The present study examines 3D cavity mixing, where the flow domain separates two boundaries: the outer bou

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