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The effect of the rotation on the turbulent mixing of two miscible fluids ofsmall contrasting density, produced by Faraday instability, is investigatedusing direct numerical simulations (DNS). We demonstrate that at lower forcingamplitudes, the t.k.e. increases with an increase in f till(f/\omega\right)^2<0.25, where \omega is the forcing frequency, during thesub-harmonic instability phase. The increase in t.k.e. increases B_V, whichincreases the total potential energy (TPE). A portion of TPE is the APE. Someparts of APE can convert to $t.k.e.$ via B_V, whereas the rest converts tointernal energy, increasing BPE through \phi_i. The remaining TPE also convertsto BPE through the diapycnal flux \phi_d resulting in irreversible mixing. Withthe saturation of the instability, irreversible mixing ceases. When(f/\omega\right)^2 > 0.25, the Coriolis force significantly delays the onset ofthe sub-harmonic instabilities. During this period, the initial concentrationprofile diffuses to increase TPE, which eventually expends in BPE. The strongrotational effects suppress t.k.e.. Therefore, B_V and APE become small, andthe bulk of the TPE expends to BPE. Since the instability never saturates for$\left(f/\omega\right)^2 > 0.25$, the $B_V$ remains non-zero, resulting in acontinuous increase in TPE. Conversion of TPE to BPE via $\phi_d$ continues,and we find prolonged irreversible mixing. At higher forcing amplitudes, thestabilizing effect of rotation is negligible, and the turbulence is lessintense and short-lived. Therefore, the irreversible mixing phenomenon alsoends quickly for $\left(f/\omega\right)^2<0.25$. However, when$\left(f/\omega\right)^2>0.25$ a continuous mixing is observed. We find thatthe turbulent mixing is efficient at lower forcing amplitudes and rotationrates of (f/\omega)^2 > 0.25.

Effect of rotation on turbulent mixing driven by the Faraday instability