Surface tension- and buoyancy-driven flows across horizontally propagating chemical fronts

Tiani, Reda; Wit, A. De; Rongy, Laurence

doi:10.1016/j.cis.2017.07.020

Cited by 26 publications

(29 citation statements)

References 71 publications

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“…Reacting fronts that propagate through a moving fluid are important parts of many systems in science and engineering that are of intense current interest [1][2][3]. This includes geophysical problems such as the lock-exchange instability [4,5] of oceanic and atmospheric flows, the buoyancy and surface tension driven flows of chemical fronts [3,[6][7][8][9], the propagation of polymerization fronts [10], the rich spatiotemporal dynamics of forest fires [11,12], and the improved properties of combustion of pre-mixed gases in a turbulent fluid flow [13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Propagating fronts in fluids with solutal feedback

Mukherjee

Paul

2020

Phys. Rev. E

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We numerically study the propagation of reacting fronts in a shallow and horizontal layer of fluid with solutal feedback and in the presence of a thermally driven flow field of counter-rotating convection rolls. We solve the Boussinesq equations along with a reaction-convection-diffusion equation for the concentration field where the products of the nonlinear autocatalytic reaction are less dense than the reactants. For small values of the solutal Rayleigh number the characteristic fluid velocity scales linearly, and the front velocity and mixing length scale quadratically, with increasing solutal Rayleigh number. For small solutal Rayleigh numbers the front geometry is described by a curve that is nearly antisymmetric about the horizontal midplane. For large values of the solutal Rayleigh number the characteristic fluid velocity, the front velocity, and the mixing length exhibit squareroot scaling and the front shape collapses onto an asymmetric self-similar curve. In the presence of counter-rotating convection rolls, the mixing length decreases while the front velocity increases. The complexity of the front geometry increases when both the solutal and convective contributions are significant and the dynamics can exhibit chemical oscillations in time for certain parameter values. Lastly, we discuss the spatiotemporal features of the complex fronts that form over a range of solutal and thermal driving.

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Section: Introductionmentioning

confidence: 99%

Propagating fronts in fluids with solutal feedback

Mukherjee

Paul

2020

Phys. Rev. E

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“…The interplay between the chemical kinetics and diffusion creates a reaction front, i.e., a localized region with nonzero production rate, whose reaction-diffusion (RD) structural and dynamical properties have been extensively analyzed [15,16]. The onset of chemically driven convection [17], due to local changes in the properties of the medium (e.g., density, surface tension, viscosity), can feedback on such RD structures and provide a new variety of reaction-diffusion-convection (RDC) dynamics [18][19][20]. Their control is at the heart of several applied problems as diverse as extraction [21], CO 2 sequestration techniques [22,23], crystal growth [24], atmospheric chemistry [25], and contaminant remediation [26].…”

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confidence: 99%

Making a Simple A+B→C Reaction Oscillate by Coupling to Hydrodynamic Effect

2019

Self Cite

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We present a new mechanism through which chemical oscillations and waves can be induced in batch conditions with a simple A þ B → C reaction in the absence of any nonlinear chemical feedback or external trigger. Two reactants A and B, initially separated in space, react upon diffusive contact and the product actively fuels in situ convective Marangoni flows by locally increasing the surface tension at the mixing interface. These flows combine in turn with the reaction-diffusion dynamics, inducing damped spatiotemporal oscillations of the chemical concentrations and the velocity field. By means of numerical simulations, we single out the detailed mechanism and minimal conditions for the onset of this periodic behavior. We show how the antagonistic coupling with buoyancy convection, due to concurrent chemically induced density changes, can control the oscillation properties, sustaining or suppressing this phenomenon depending on the relative strength of buoyancy-and surface-tension-driven forces. The oscillatory instability is characterized in the relevant parametric space spanned by the reactor height, the Marangoni (Ma i ) and the Rayleigh (Ra i ) numbers of the ith chemical species, the latter ruling the surface tension and buoyancy contributions to convection, respectively.

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“…Future work includes developing more accurate numerical models to consider (i) sample evaporation in long-term experiments, (ii) convective instabilities driven by Marangoni and buoyancy-driven flows caused by the inhomogeneous concentrations of species [28], (iii) presence of high-density cultured cells and (iv) presence of miniaturized self-sufficient devices for passive/active release of chemicals [29] or encapsulation of cells inside droplets [30].…”

Section: Discussionmentioning

confidence: 99%

Water Jacket Systems for Temperature Control of Petri Dish Cell Culture Chambers

et al. 2019

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Water jacket systems are routinely used to control the temperature of Petri dish cell culture chambers. Despite their widespread use, the thermal characteristics of such systems have not been fully investigated. In this study, we conducted a comprehensive set of theoretical, numerical and experimental analyses to investigate the thermal characteristics of Petri dish chambers under stable and transient conditions. In particular, we investigated the temperature gradient along the radial axis of the Petri dish under stable conditions, and the transition period under transient conditions. Our studies indicate a radial temperature gradient of 3.3 °C along with a transition period of 27.5 min when increasing the sample temperature from 37 to 45 °C for a standard 35 mm diameter Petri dish. We characterized the temperature gradient and transition period under various operational, geometric, and environmental conditions. Under stable conditions, reducing the diameter of the Petri dish and incorporating a heater underneath the Petri dish can effectively reduce the temperature gradient across the sample. In comparison, under transient conditions, reducing the diameter of the Petri dish, reducing sample volume, and using glass Petri dish chambers can reduce the transition period.

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Surface tension- and buoyancy-driven flows across horizontally propagating chemical fronts

Cited by 26 publications

References 71 publications

Propagating fronts in fluids with solutal feedback

Propagating fronts in fluids with solutal feedback

Making a Simple A+B→C Reaction Oscillate by Coupling to Hydrodynamic Effect

Water Jacket Systems for Temperature Control of Petri Dish Cell Culture Chambers

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