Particle-laden exchange flows in inclined pipes

Mirzaeian, Nima; Alba, K.

doi:10.1103/physrevfluids.3.114301

Cited by 2 publications

(5 citation statements)

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“…Following the studies of Mirzaeian & Alba (2018a), Mirzaeian et al (2020) and Mirzaeian (2018), the evolution equations for the volume fraction of particles φ and interface height h, respectively, become…”

Section: Discussionmentioning

confidence: 99%

“…The characteristic velocity in the Péclet number, Reynolds number and capillary number expressions is defined as . As mentioned in the works of Mirzaeian & Alba (2018 a , b ) and Mirzaeian et al. (2020), during the early flow development stage, the buoyant stress is balanced by inertial stress , which results in obtaining the characteristic speed.…”

Section: Thin-film Flow Formulationmentioning

confidence: 99%

“…From the experimentation point of view, the pipe geometry can be more practical, as discussed by Buchanan et al. (2007), Mirzaeian & Alba (2018 a , b ) and Mirzaeian et al. (2020).…”

Section: Figurementioning

confidence: 99%

“…It is not difficult to show that (2.27) reduces to φ 1,y = h x φ 0,x /Pe at the interface (y = h). Equation (2.26), along with the use of (2.27), the continuity equation (u x + v y = 0) and the Leibniz integral rule, can now be depth-averaged within the suspension layer (0 y h) to yield the following (refer to Mirzaeian & Alba (2018a), Mirzaeian et al (2020) and Mirzaeian (2018) for details):…”

Section: Thin-film Flow Formulationmentioning

confidence: 99%

“…Such flows may contain particles that can be classified into non-colloidal (over-micron) and colloidal regimes (sub-micron). Recently, the non-colloidal exchange flows were investigated experimentally by Mirzaeian & Alba (2018b) as well as theoretically (thin-film lubrication model) for monodensity and bidensity suspensions by Mirzaeian & Alba (2018a) and Mirzaeian, Testik & Alba (2020), respectively, exhibiting completely distinct flow patterns and interface shapes compared to the particle-free (pure fluid) case of Seon et al (2005). Depending on the governing flow parameters, rich and/or depleted areas of particle concentration have been identified.…”

Section: Introductionmentioning

confidence: 99%

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Colloidal exchange flow in ducts

Alba

2022

J. Fluid Mech.

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Buoyancy-driven exchange flow, i.e. drainage of a heavy colloidal suspension by an immiscible light pure fluid in a vertical duct, is studied analytically. A lubrication model is developed for two-dimensional channel and axisymmetric pipe geometries. The outcome transport equations are solved numerically to capture the effect of important governing dimensionless parameters: Péclet number, precursor film thickness, Reynolds number, mixtures’ viscosity ratio, initial volume fraction of hard-sphere particles, particles concentration within the precursor film, and capillary number. Recent study of colloidal film flow over a flat surface reveals interface thinning over time due to diffusion impact on suspension viscosity. However, the current model suggests that there is no such thinning phenomenon observed for colloidal flows within confined geometry unless in the absence of surface tension. The extent of the mixed particle zone along the duct grows as the Péclet number is decreased. Precursor film thickness is found to decrease the capillary ridge height forming at heavy suspension front. Either an increase in the Reynolds number or a decrease in light-to-heavy-fluid viscosity ratio extends the interpenetration rate of mixtures. As the bulk volume fraction of particles is increased close to 50 %, interesting secondary fronts emerge within the flow that coincide with the range where the diffusion coefficient is minimized. The heavy suspension layer drains slightly faster when the gradient in particle concentration between the bulk and precursor film regions is maximum. Finally, the non-monotonic impact of surface tension on the extent of mixtures’ exchange zone is uncovered via simulations conducted at various capillary numbers.

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Section: Discussionmentioning

confidence: 99%

Section: Thin-film Flow Formulationmentioning

confidence: 99%

“…From the experimentation point of view, the pipe geometry can be more practical, as discussed by Buchanan et al. (2007), Mirzaeian & Alba (2018 a , b ) and Mirzaeian et al. (2020).…”

Section: Figurementioning

confidence: 99%