Turbulent thermals with chemical reaction

Domingos, Mariana G.; Cardoso, Silvana S. S.

doi:10.1017/jfm.2015.583

Cited by 8 publications

(9 citation statements)

References 32 publications

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“…however the colour fades when the pH of the solution decreases beyond neutralisation (Wittke 1983). The relationship between colour intensity and depletion of chemical is linear (Domingos & Cardoso 2015).…”

Section: Reactive Systemsmentioning

confidence: 99%

“…In equation 3.7, HInd is the colourless acidic form of phenolphthalein, while Ind − is the conjugate basic form, which is characterised by a pink/purple colour (Domingos & Cardoso 2015). Hence, an alkaline solution containing phenolphthalein is coloured;…”

Section: Reactive Systemsmentioning

confidence: 99%

“…Komori & Ueda (1984) measured the concentration of chemical species in a gaseous plume undergoing a moderately fast, second-order chemical reaction and found that the turbulence effects on the reaction rate are significant: in particular, they noted that the effect of the concentration fluctuations on the reaction rate can be as much as 20 times larger than that of the mean concentrations. Domingos & Cardoso (2015) demonstrated that turbulent thermals undergoing an instantaneous chemical reaction are non-uniformly mixed and quantified the delay in the completion of the reaction, compared to the classical wellmixed scenario.…”

Section: Introductionmentioning

confidence: 99%

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Mixing and reaction in turbulent plumes: the limits of slow and instantaneous chemical kinetics

Mingotti

Cardoso

2018

J. Fluid Mech.

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We investigate the behaviour of a reactive plume in the two limiting cases of slow and instantaneous chemical reactions. New laboratory measurements show that, whereas the slow reaction between the source and entrained chemical species takes place within the whole volume of each eddy in the plume, the fast reaction develops preferentially at the periphery of the eddies. We develop a new model that quantifies the mixing of the reactive buoyant fluids at the Batchelor scale and thereby the progress of the fast reaction. We present a series of new experimental results that suggest that a critical distance from the source, $z_{crit}$, exists at which the volume of fluid that is entrained from the ambient is equal to that which is mixed within the plume at the Batchelor scale. For $z>z_{crit}$, only a fraction of the entrained fluid is rapidly mixed and reacts with the plume fluid. The results of the new experiments enable us to quantify the distance from the source at which an instantaneous reaction reaches completion, and show that it can be significantly larger than the distance $L_{s}$ at which the stoichiometric dilution of the plume fluid is achieved. In the limit of an instantaneous reaction, the longitudinal profiles of source chemical concentration in the plume depend on $(z_{crit}/L_{s})^{5/6}$. The predictions of the model are validated against the experimental results, and the profiles of source chemical concentration in the plume for slow and fast reactions are compared.

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Section: Reactive Systemsmentioning

confidence: 99%

Section: Reactive Systemsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Mixing and reaction in turbulent plumes: the limits of slow and instantaneous chemical kinetics

Mingotti

Cardoso

2018

J. Fluid Mech.

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“…Accurate prediction of material transport in geophysical flows is growing in importance in the aftermath of large-scale catastrophic events like the volcanic eruption of Eyjafjallajökull (Iceland, 2010), the Deepwater Horizon oil spill (Gulf of Mexico, 2010) [see e.g., Domingos and Cardoso ( 2013)], and the nuclear disaster in Fukushima (Japan, 2011) [see e.g., Domingos and Cardoso (2015)]. The main avenues for the material transport have been connected to the skeleton of chaotic advection, and detecting these routes from measured data in (near) real time has become one of the major goals at the intersection of dynamical systems and fluid dynamics.…”

Section: Chaotic Advection From Datamentioning

confidence: 99%

Frontiers of chaotic advection

et al. 2017

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This work reviews the present position of and surveys future perspectives in the physics of chaotic advection: the field that emerged three decades ago at the intersection of fluid mechanics and nonlinear dynamics, which encompasses a range of applications with length scales ranging from micrometers to hundreds of kilometers, including systems as diverse as mixing and thermal processing of viscous fluids, microfluidics, biological flows, and oceanographic and atmospheric flows.

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“…2011). Nuclear reactions play a similar role within radiogenic thermals produced by radioactive nuclear explosions (Domingos & Cardoso 2015), in convection-driven flows in the Earth's mantle (Griffiths 1991) and even in supernova explosions (Aspden et al. 2011).…”

Section: Introductionmentioning

confidence: 99%