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Studies of Turing instability in a reactive fluid, known as BZ-AOT microemulsion, under external harmonic vibration, show modifications on pattern formation. The characteristics of the reactor and forcing prevent flows to occur, and therefore the transport phenomena can only be due to microscopic diffusion. In order to understand this problem, we combine the reaction-diffusion model with a mesoscopic model. The performed linear stability analysis and numerical simulations show, on the one hand, that the forcing increases the wavelength of the patterns and, on the other hand, that the system is unable to exhibit any pattern for sufficiently large forcings thus yielding to a state of homogeneous concentration.

Harmonic vibration on a reactive fluid at boundary layer regime modifies the Turing instability