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Pipe flow of shear-thinning fluids Pipe flow of shear-thinning fluids

Abstract : The pipe flow of purely viscous shear-thinning fluids is studied using numerical simulations. The rheological behavior is described by the Carreau model. The flow field is decomposed as a base flow and a disturbance. The perturbation equations are then solved using a pseudospectral Petrov-Galerkin method. The time marching uses a fourth-order Adams-Bashforth scheme. In the case of an infinitesimal perturbation, a three-dimensional linear stability analysis is performed based on modal and non modal approaches. It is shown that the pipe flow of shear-thinning fluids is linearly stable and that for the range of the rheological parameters considered, streamwise independent vortices are optimally amplified. The nonlinear computations are done for finite amplitude two-dimensional disturbances, which consist of one pair of longitudinal rolls. The numerical results show that for a given wall Reynolds number, the shear-thinning reduces the energy gain of the perturbation. This is due to a reduction of the exchange energy between the base flow and the perturbation. Besides this, the viscous dissipation decreases with increasing the shear-thinning effects.
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Submitted on : Sunday, September 11, 2022 - 3:21:37 PM
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S N López-Carranza, M Jenny, C Nouar. Pipe flow of shear-thinning fluids Pipe flow of shear-thinning fluids. Comptes Rendus. Mécanique, Académie des sciences (Paris), 2012, 340 (8), pp.602-618. ⟨10.1016/j.crme.2012.05.002⟩. ⟨hal-03774608⟩



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