Loading...
Interfacial instabilities in sediment suspension flows
Abedi, M ; Sharif University of Technology
1190
Viewed
- Type of Document: Article
- DOI: 10.1017/jfm.2014.531
- Abstract:
- We report the existence of interfacial instability in the two-dimensional channel flow of a sediment suspension whose particles diffuse in the carrier fluid due to shear-induced collisions. We derive partial differential equations that govern the deformations of the interface between the sediment suspension and the clear fluid, and devise a perturbation method that preserves the positivity of the particle volume fraction. We solve perturbed momentum, particle transport and deforming interface equations to show that a Kelvin-Helmholtz-type unstable wave develops at the interface for wavelengths longer than a critical value. Short-wavelength oscillations of the interface are damped due to shear-induced diffusion of particles. We also show that the lowest critical Reynolds number, above which the interface is unstable, occurs for intermediate values of the total volume fraction of particles
- Keywords:
- Instability ; Multiphase and particle-laden flows ; Deformation ; Differential equations ; Diffusion in liquids ; Perturbation techniques ; Plasma stability ; Reynolds number ; Shear flow ; Suspended sediments ; Volume fraction ; Critical Reynolds number ; Interface equations ; Interfacial instability ; Particle volume fractions ; Perturbation method ; Shear-induced diffusion ; Two-dimensional channel flow ; Suspensions (fluids) ; Channel flow ; Multiphase flow ; Oscillating flow
- Source: Journal of Fluid Mechanics ; Vol. 758, issue , November , 2014 , p. 312-326
- URL: http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=9375584&fileId=S002211201400531X