Chaotic Advection for Thermal Mixing

Guer, Yves Le; Omari, Kamal El

doi:10.1016/b978-0-12-380876-9.00005-7

Cited by 14 publications

(9 citation statements)

References 73 publications

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“…[], are always considered below the saturation and, therefore, they only affect the melt viscosity. The viscous heating [ Le Guer and El Omari , ] and the radiogenic heating [ Schöpa and Annen , ] are not included. In the surrounding rocks, there are no hydrothermal convection currents.…”

Section: The Modelmentioning

confidence: 99%

“…The Boussinesq approximation is assumed in the momentum equation (i.e., the temperature‐dependence of the density is accounted for in the sole buoyancy term of the momentum equation) [ Le Guer and El Omari , ].…”

Section: The Modelmentioning

confidence: 99%

“…The numerical methods and code validations are described in detail elsewhere [ El Omari and Le Guer , , ; Le Guer and El Omari , ; Bammou et al ., ]. The numerical results obtained with the in‐house CFD code Tamaris were previously validated by comparison with different solutions published for a lid‐driven cavity and different rheological behaviors (Newtonian, shear‐thinning, and shear thickening fluids) [ El Omari and Le Guer , ].…”

Section: The Modelmentioning

confidence: 99%

“…The numerical results obtained with the in‐house CFD code Tamaris were previously validated by comparison with different solutions published for a lid‐driven cavity and different rheological behaviors (Newtonian, shear‐thinning, and shear thickening fluids) [ El Omari and Le Guer , ]. The coupled mixing and heating performances induced by chaotic advection in a 2‐D two‐rod mixer was investigated for two different wall boundary conditions (a constant wall temperature and a constant wall heat flux) in El Omari and Le Guer [] and the effect of temperature dependence of the fluid viscosity was studied in Le Guer and El Omari []. We recall briefly here some basic elements of the code Tamaris.…”

Section: The Modelmentioning

confidence: 99%

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Effects of chaotic advection on the timescales of cooling and crystallization of magma bodies at mid crustal levels

Petrelli

Omari

Guer

et al. 2016

Geochem Geophys Geosyst

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We numerically define the thermochemical evolution of a subduction‐related crystal‐bearing magmatic mass at mid crustal levels (0.7 GPa, 20–25 km). Two main dynamic mechanisms are considered: (1) a pure buoyancy‐driven system where the convective flow is induced by density changes during magma cooling; (2) a buoyancy‐driven convective system governed by chaotic advection. The non‐Newtonian rheology of natural magmas is taken into account linking the Herschel‐Bulkley formulation with the results of fractional crystallization experiments of magmas with the same composition and at the same conditions of temperature and pressure of the studied system. The latent heat of crystallization is also considered in order to address the thermal release in the system induced by the crystallization. Results indicate that the development of chaotic advection generates a complex thermochemical evolution of the system speeding up the crystallization process and the timing required to reach the jamming condition relative to the pure buoyancy‐driven convective system (nearly 2 times faster). Our results have important implications for both the rheological history of the magmatic body and the refilling of shallower magmatic systems. In particular, (1) a time‐dependent composition ranging from basalt to andesite can be extracted from an initial basaltic magmatic batch; (2) at the attainment of the maximum packing fraction (i.e., just before the jamming condition), homogeneous andesitic melts can be potentially extracted from the system; and (3) the development of chaotic advection within the system allows for the extraction of andesitic melt in shorter times compared to a buoyancy‐dominated system.

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Section: The Modelmentioning

confidence: 99%

Section: The Modelmentioning

confidence: 99%

Section: The Modelmentioning

confidence: 99%

Section: The Modelmentioning

confidence: 99%

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Effects of chaotic advection on the timescales of cooling and crystallization of magma bodies at mid crustal levels

Petrelli

Omari

Guer

et al. 2016

Geochem Geophys Geosyst

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“…10 Thereaer, controlled unidirectional freeze drying is carried out through a freeze-casting to prepare porous and layered scaffold, 11 which are lled with a polymeric phase. 16 A viscous PVA/HA solution was made to ow through an in-house engineered equipment, designed by modifying a venturimeter and introducing the demountable rheological barrier plates of engineered dimensions in the downstream of the instrument, thereby synthesising a composite (Fig. 12,13 Microelectro-mechanical systems are recently developed for the reproduction of the cross-lamellar structures of Queen Conch shells using polysilicon and aragonite.…”

Section: Introductionmentioning

confidence: 99%

Nano-engineered hybrid hydroxyapatite-grafted biocomposites for Euspria pulchella mimicking through chaotic flow regimes

et al. 2015

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The present study speculates a successful attempt towards mimicking the shell of Euspria pulchella, a marine gastropod mollusc, by PVA-surface treated HA composites using chaotic reconstruction. An inhouse equipment of a modified venturimeter was constructed and the convergent-divergent channels were generated by introducing rheological flow arrestors and ultrasonicating micro-tips to promote chaotic advection.

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Assessing Blending of Non‐Newtonian Fluids in Static Mixers by Planar Laser‐Induced Fluorescence and Electrical Resistance Tomography

et al. 2019

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Planar laser-induced fluorescence (PLIF) and electrical resistance tomography (ERT) were applied simultaneously to monitor the mixing performance of a KM static mixer for the blending of non-Newtonian fluids of dissimilar rheologies in the laminar regime. The areal distribution method was used to obtain quantitative information from the ERT tomograms and the PLIF images. Comparison of the ERT and PLIF results demonstrates the ability of ERT to detect the mixing performance in cases of poor mixing within the resolution of the measurement, though the accuracy decreases as the condition of perfect mixing is approached. Thus, ERT has the potential to detect poor mixing within the confines of its resolution limit and the required conductivity contrast, providing potential rapid at-line measurement for industrial practitioners.

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Chaotic Advection for Thermal Mixing

Cited by 14 publications

References 73 publications

Effects of chaotic advection on the timescales of cooling and crystallization of magma bodies at mid crustal levels

Effects of chaotic advection on the timescales of cooling and crystallization of magma bodies at mid crustal levels

Nano-engineered hybrid hydroxyapatite-grafted biocomposites for Euspria pulchella mimicking through chaotic flow regimes

Assessing Blending of Non‐Newtonian Fluids in Static Mixers by Planar Laser‐Induced Fluorescence and Electrical Resistance Tomography

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