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The effect of the rotation on the turbulent mixing of two miscible fluids ofsmall contrasting density, induced by Faraday instability, is investigatedusing direct numerical simulations (DNS). We quantify the irreversible mixingwhich depicts the conversion of the available potential energy (APE) to thebackground potential energy (BPE) through irreversible mixing rate$\mathcal{M}$. We demonstrate that at lower forcing amplitudes, the turbulentkinetic energy ($t.k.e.$) increases with an increase in the Coriolis frequency$f$ till $\left(f/\omega\right)^2<0.25$, where $\omega$ is the forcingfrequency, during the sub-harmonic instability phase. This enhancement of$t.k.e.$ is attributed to the excitement of more unstable modes. Theirreversible mixing sustains for an extended period with increasing$\left(f/\omega\right)^2$ till $0.25$ owing to the prolonged sub-harmonicinstability phase and eventually ceases with instability saturation. When$\left(f/\omega\right)^2 > 0.25$, the Coriolis force significantly delays theonset of the sub-harmonic instabilities. The strong rotational effects resultin lower turbulence because the bulk of the APE expends to BPE, decreasing APEthat converts back to $t.k.e.$ reservoir for $\left(f/\omega\right)^2 > 0.25$.Since the instability never saturates for $\left(f/\omega\right)^2 > 0.25$,conversion of APE to BPE via $\mathcal{M}$ continues, and we find prolongedirreversible mixing. At higher forcing amplitudes, the instability delayingeffect of rotation is negligible, and the turbulence is less intense andshort-lived. Therefore, the irreversible mixing phenomenon also ends quicklyfor $\left(f/\omega\right)^2<0.25$. However, when$\left(f/\omega\right)^2>0.25$, a continuous irreversible mixing is observed.

Direct numerical simulations of turbulent mixing driven by the Faraday instability in rotating miscible fluids