Abstract Submitted for the DFD15 Meeting of The American Physical Society Elastorotational instability in Taylor-Couette flow with Keple-

Submitted for the DFD15 Meeting of The American Physical Society Elastorotational instability in Taylor-Couette flow with Keplerian ratio as analog of the Magnetorotational Instability1 INNOCENT MUTABAZI, YANG BAI, OLIVIER CRUMEYROLLE, LOMC,UMR6294, CNRSUniversité du Havre — The analogy between viscoelastic instability in the TaylorCouette flow and the magnetorotational instability (MRI) has been found by Ogilvie & Potter [1]. It relies on the similarity between the governing equations of viscoelastic flows of constant viscosity (Oldroyd-B model equations)and those of Magnetohydrodynamics (MHD). We have performed linear stability analysis of the TaylorCouette flow with a polymer solution obeying the Oldroyd-B model. A diagram of critical states shows the existence of stationary and helicoidal modes depending on the elasticity of the polymer solution. A generalized Rayleigh criterion determines the potentially unstable zone to pure elasticity-driven perturbations. Experimental results yield four type of modes : one pure elasticity mode and three elastorotational modes that are the MRI-analog modes. Anti-Keplerian case has also been investigated. There is a good agreement between experimental and theoretical results [2]. [1] G.I. Ogilvie & A.T. Potter, Phys. Rev. Lett. 100, 074503 (2008). [2] Y. Bai, O. Crumeyrolle & I. Mutabazi, Phys. Rev. E.(2015) 1Work supported by the CPER and ANR-LABEX EMC3. Innocent Mutabazi LOMC,UMR6294, CNRS-Université du Havre Date submitted: 28 Jul 2015 Electronic form version 1.4