A Turing instability (diffusion-driven instability) arises when a homogeneous steady state solution of the reaction system of the form (2.1) is linearly stable to some perturbations in the absence of the diffusion terms ((D_{u}, D_{v})) but linearly unstable in the presence of diffusion to small spatial perturbations.
Nonlinear dynamics of diffusional-thermal instability in diffusion flames is numerically investigated by employing a diffusion flame established in the stagnant mixing layer as a model.
Nonlinear dynamics of radiation-induced oscillatory instability in diffusion flames is numerically investigated by employing a diffusion flame established in stagnant mixing layer with optically thin gas-phase radiation and unity Lewis numbers for all species as a model.
Treats heat transfer and fluid mechanics in the Earth, low Reynolds number flows, convection instability, double diffusion, Non-Newtonian flows, flow in porous media, and the interaction of flows with accreting and deforming boundaries.
Recent literature suggests that several food antioxidants possess poor bioavailability due to their low solubility in water, gastrointestinal instability, passive diffusion, and active efflux in the gastrointestinal tract.
In this work, we carry out a systematic analysis of pulsating instabilities in diffusion flames.
The instability caused the diffusion path to exit the two phase region of the phase diagram and enter the single phase region.
Though in wide use, such methods are prone to numerical instability unless numerical diffusion or some other form of regularization is used, especially for higher-order methods.
However, increasing the oil withdrawal rate caused the viscous forces to become dominant compared to capillary forces, which led to instability in gas diffusion into the matrix part.
In contrast to the instability of the diffusion and recruitment mechanisms, the methylation pattern across the array is maintained while influx at the initiation site is ceased.
At low pressures, helium-diluted flames had reduced tendencies toward preferential-diffusion instability behavior compared to nitrogen- and argon-diluted flames due to stabilization of flame properties by strong effects of preferential diffusion of heat.
