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Delaying transition to turbulence in channel flow: Revisiting the stability of shear thinning fluids

Abstract : A viscosity stratification is considered as a possible mean to postpone the onset of transition to turbulence in channel flow. As prototype problem, we have chosen to focus on the linear stability of shear thinning fluids modelled by the Carreau rheological law. To assess whether there is stabilization and by how much, it is important both to account for a viscosity disturbance in the perturbation equations, and to employ an appropriate viscosity scale in the definition of the Reynolds number. Failure to do so can yield qualitatively and quantitatively incorrect conclusions. Results are obtained for both exponentially and algebraically growing disturbances, demonstrating that a viscous stratification is indeed a viable approach to maintain laminarity.
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https://hal-cnrs.archives-ouvertes.fr/hal-03816350
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Submitted on : Sunday, October 16, 2022 - 12:53:13 PM
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Chérif Nouar, Alessandro Bottaro, Jean Pierre Brancher. Delaying transition to turbulence in channel flow: Revisiting the stability of shear thinning fluids. Journal of Fluid Mechanics, 2007. ⟨hal-03816350⟩

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