Instability of a dusty Kolmogorov flow

Author:

Sozza AlessandroORCID,Cencini MassimoORCID,Musacchio Stefano,Boffetta Guido

Abstract

Suspended particles can significantly alter the fluid properties and, in particular, can modify the transition from laminar to turbulent flow. We investigate the effect of heavy particle suspensions on the linear stability of the Kolmogorov flow by means of a multiple-scale expansion of the Eulerian model originally proposed by Saffman (J. Fluid Mech., vol. 13, issue 1, 1962, pp. 120–128). We find that, while at small Stokes numbers particles always destabilize the flow (as already predicted by Saffman in the limit of very thin particles), at sufficiently large Stokes numbers the effect is non-monotonic in the particle mass fraction and particles can both stabilize and destabilize the flow. Numerical analysis is used to validate the analytical predictions. We find that in a region of the parameter space the multiple-scale expansion overestimates the stability of the flow and that this is a consequence of the breakdown of the scale separation assumptions.

Funder

Regione Lazio

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Stability of Plane Parallel Flow Revisited for Particle–Fluid Suspensions;Journal of Applied Mechanics;2024-08-21

2. Nonlinear oscillations in a two-dimensional spatially periodic flow;The European Physical Journal Plus;2024-02-01

3. Vortex Flows with Particles and Droplets (A Review);Symmetry;2022-09-26

4. Instability of a dusty vortex;Journal of Fluid Mechanics;2022-09-20

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