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We present results for entropy and kinetic energy spectra computed fromdirect numerical simulations for low-Prandtl-number ($Pr < 1$) turbulent flowin Rayleigh-B\'{e}nard convection with uniform rotation about a vertical axis.The simulations are performed in a three-dimensional periodic box for a rangeof Taylor number ($ 0 \leq Ta \leq 10^8$) and reduced Rayleigh number $r =Ra/Ra_{\circ} (Ta, Pr)$ ($1.0 \times 10^2 \le r \le 5.0 \times 10^3$). TheRossby number $Ro$ varies in the range $1.34 \le Ro \le 73$. The entropyspectrum $E_{\theta}(k)$ shows bi-splitting into two branches for lower valuesof wave number $k$. The entropy in the lower branch scales with $k$ as$k^{-1.4\pm 0.1}$ for $r > 10^3$ for the rotation rates considered here. Theentropy in the upper branch also shows scaling behavior with $k$, but thescaling exponent decreases with increasing $Ta$ for all $r$. The energyspectrum $E_v(k)$ is also found to scale with the wave number $k$ as$k^{-1.4\pm 0.1}$ for $r > 10^3$. The scaling exponent for the energy spectrumand the lower branch of the entropy spectrum vary between $-1.7$ to $-2.4$ forlower values of $r$ ($< 10^3$). We also provide some simple arguments based onthe variation of the Kolmogorov picture to support the results of simulations.

Entropy and energy spectra in low-Prandtl-number convection with rotation