  The effect of the rotation on the turbulent mixing of two miscible fluids of
small contrasting density, induced by Faraday instability, is investigated
using direct numerical simulations (DNS). We quantify the irreversible mixing
which depicts the conversion of the available potential energy (APE) to the
background potential energy (BPE) through irreversible mixing rate
$\mathcal{M}$. We demonstrate that at lower forcing amplitudes, the turbulent
kinetic 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 forcing
frequency, during the sub-harmonic instability phase. This enhancement of
$t.k.e.$ is attributed to the excitement of more unstable modes. The
irreversible mixing sustains for an extended period with increasing
$\left(f/\omega\right)^2$ till $0.25$ owing to the prolonged sub-harmonic
instability phase and eventually ceases with instability saturation. When
$\left(f/\omega\right)^2 > 0.25$, the Coriolis force significantly delays the
onset of the sub-harmonic instabilities. The strong rotational effects result
in lower turbulence because the bulk of the APE expends to BPE, decreasing APE
that 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 prolonged
irreversible mixing. At higher forcing amplitudes, the instability delaying
effect of rotation is negligible, and the turbulence is less intense and
short-lived. Therefore, the irreversible mixing phenomenon also ends quickly
for $\left(f/\omega\right)^2<0.25$. However, when
$\left(f/\omega\right)^2>0.25$, a continuous irreversible mixing is observed.
