Instabilities in cubic reaction-diffusion fronts advected by a Poiseuille flow.
We study reaction fronts inside a two-dimensional domain subject to a Poiseuille flow. We focus on a cubic reaction–diffusion system with two chemicals having different diffusion coefficients. We solve numerically the system of equations for different values of the domain width finding transitions between traveling steady states. These transitions are also observed by changing the average velocity of the external Poiseuille flow. The flat front solutions are obtained using the equations in a one-dimensional region, and extending them to two-dimensions. These solutions result in either stable or unstable fronts. We carry out a linear stability analysis for flat fronts obtaining the corresponding growth rates of small perturbations. The application of a Poiseuille flow in the same direction of the propagating front gives rise to stable symmetric fronts, whereas in the opposite direction allows the formation of stable symmetric and asymmetric fronts. For strong enough flow velocities or wide widths, the fronts become oscillatory. Increasing the driving parameters results in intermittent bursts in the oscillations.
Año de publicación: 2021
We study reaction fronts inside a two-dimensional domain subject to a Poiseuille flow. We focus on a cubic reaction–diffusion system with two chemicals having different diffusion coefficients. We solve numerically the system of equations for different values of the domain width finding transitions between traveling steady states. These transitions are also observed by changing the average velocity of the external Poiseuille flow. The flat front solutions are obtained using the equations in a one-dimensional region, and extending them to two-dimensions. These solutions result in either stable or unstable fronts. We carry out a linear stability analysis for flat fronts obtaining the corresponding growth rates of small perturbations. The application of a Poiseuille flow in the same direction of the propagating front gives rise to stable symmetric fronts, whereas in the opposite direction allows the formation of stable symmetric and asymmetric fronts. For strong enough flow velocities or wide widths, the fronts become oscillatory. Increasing the driving parameters results in intermittent bursts in the oscillations.
Año de publicación: 2021
Ethanol lamp: a simple, tunable flame oscillator and its coupled dynamics.
In this paper, we introduce a simple controllable experimental system that can exhibit rich dynamics. The setup comprises a sealed glass vial of ethanol with wicks immersed in it. The flame produced by such a lamp can show both steady combustion or oscillatory combustion (i.e. flickering) depending on the volume of fuel within and the number of wicks used in its construction. This tunability makes it a great model system to study the dynamics of flame oscillations and to explore emergent behaviour of coupled nonlinear oscillators in table-top experiments. In the present work, the behaviour of this system for different fuel volumes is explored and some typical phenomena reported in other experimental systems, viz. in-phase synchronization, anti-phase synchronization and amplitude death are demonstrated.
Año de publicación: 2021
In this paper, we introduce a simple controllable experimental system that can exhibit rich dynamics. The setup comprises a sealed glass vial of ethanol with wicks immersed in it. The flame produced by such a lamp can show both steady combustion or oscillatory combustion (i.e. flickering) depending on the volume of fuel within and the number of wicks used in its construction. This tunability makes it a great model system to study the dynamics of flame oscillations and to explore emergent behaviour of coupled nonlinear oscillators in table-top experiments. In the present work, the behaviour of this system for different fuel volumes is explored and some typical phenomena reported in other experimental systems, viz. in-phase synchronization, anti-phase synchronization and amplitude death are demonstrated.
Año de publicación: 2021
Structures and Instabilities in Reaction Fronts Separating Fluids of Different Densities.
Llamoza, Johan and Vasquez, D. A. (2019). Structures and Instabilities in Reaction Fronts Separating Fluids of Different Densities. https://doi.org/10.3390/mca24020051. Volumen: 51. (pp. 1 - 16).
Año de publicación: 2019
Llamoza, Johan and Vasquez, D. A. (2019). Structures and Instabilities in Reaction Fronts Separating Fluids of Different Densities. https://doi.org/10.3390/mca24020051. Volumen: 51. (pp. 1 - 16).
Año de publicación: 2019
Pattern formation induced by intraspecific interactions in a predator-prey system
VASQUEZ, D. A. (2019). Pattern formation induced by intraspecific interactions in a predator-prey system. Physical review E. Volumen: 062414. (pp. 1 - 12).
Año de publicación: 2019
VASQUEZ, D. A. (2019). Pattern formation induced by intraspecific interactions in a predator-prey system. Physical review E. Volumen: 062414. (pp. 1 - 12).
Año de publicación: 2019
Oscillatory instability in a reaction front separating fluids of different densities.
COROIAN, D. y VASQUEZ, D. A.(2018). Oscillatory instability in a reaction front separating fluids of different densities. Physical review E. (pp. 231021 - 231028).
Año de publicación: 2018
COROIAN, D. y VASQUEZ, D. A.(2018). Oscillatory instability in a reaction front separating fluids of different densities. Physical review E. (pp. 231021 - 231028).
Año de publicación: 2018
Fronts described by the Kuramoto Sivashinsky equation under surface tension driven flow
GUZMAN, R. A.; VILELA, P. M.; VASQUEZ, D. A. (2018). Fronts described by the Kuramoto Sivashinsky equation under surface tension driven flow. The European Physical Journal Special Topics. Volumen: 227. (pp. 521 - 531).
Año de publicación: 2018
GUZMAN, R. A.; VILELA, P. M.; VASQUEZ, D. A. (2018). Fronts described by the Kuramoto Sivashinsky equation under surface tension driven flow. The European Physical Journal Special Topics. Volumen: 227. (pp. 521 - 531).
Año de publicación: 2018
Marangoni flow traveling with reaction fronts: Eikonal approximation
GUZMAN, R. A. y VASQUEZ, D. A. (2017). Marangoni flow traveling with reaction fronts: Eikonal approximation. Chaos. Volumen: 27. (pp. 103121 - 103121)
Año de publicación: 2017
GUZMAN, R. A. y VASQUEZ, D. A. (2017). Marangoni flow traveling with reaction fronts: Eikonal approximation. Chaos. Volumen: 27. (pp. 103121 - 103121)
Año de publicación: 2017
Convection induced by thermal gradients on thin reaction frontsRUELAS, D. R. A. y VASQUEZ, D. A. (2017). Physical review E. Volumen: 96. pág, 033116-033123
Año de publicación: 2017
The effects of fluid motion on oscillatory and chaotic frontsVILELA, P. M. y VASQUEZ, D. (2016). The European Physical Journal Special Topics, 225 (13-14), pp. 2563-2572.
Año de publicación: 2016
Surface tension driven flow on a thin reaction frontGUZMAN, R. A. y VASQUEZ, D. (2016). The European Physical Journal Special Topics, 225, pp. 2563-2672.
Año de publicación: 2016