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4 CONCLUSIONS
This paper presented a numerical simulation method
for explaining convective flow structures induced by
a single chemical wave and a chemical wave train in a
chemical solution layer of the BZ reaction. According
to the previous result by Nomura et al. (Nomura et al.,
2004), the model assumes a scenario in which the
surface of the chemical solution has an elastic prop-
erty. The concentration gradient of a chemical species
along the surface induces a surface tension gradient,
and brings about displacement of the elastic surface
through the Marangoni effect. In addition, the surface
displacement causes a bulk flow of the chemical solu-
tion, which can be described with the Navier-Stokes
equations. Thus, the numerical simulation method
proposed here couples an Oregonator type reaction-
diffusion model with the Navier-Stokes equations via
the elastic equation.
We carried out numerical experiments with the
proposed model on a single chemical wave and a
chemical wave train. The results of these experiments
show that the proposed model reproduces the flow
structures observed in laboratory experiments. That
is, a flow structure induced by a single chemical wave
has some spatial extent in front of the chemical wave;
a flow structure induced by a chemical wave train has
a global flow structure due to asymmetric convection
rolls. A previous model did not predict such the flow
structures in our numerical experiments. These re-
sults suggest that the assumption of the elastic prop-
erty helps us to understand flow structures observed
in the solution layer of the BZ reaction.
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