Linear stability of a Couette flow for non-monotone stress-power law models
Benedetta Calusi,
Lorenzo Fusi,
Angiolo Farina
Abstract:In this paper we investigate the linear stability of a Couette flow driven by a shear stress imposed on the top surface of a fluid layer, assuming that the material obeys an “S-shaped” stress-power law model. The perturbation equation is solved numerically by means of a spectral collocation scheme based on Chebyshev polynomials. We show that there exists a range of Reynolds numbers in which multiple flows are possible. In particular, our results highlight that the solutions belonging to the ascending branches … Show more
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