### Abstract

In this paper, we review the recent developments in the field of buoyancy-driven turbulence. Scaling and numerical arguments show that the stably-stratified turbulence with moderate stratification has kinetic energy spectrum $E_u(k) \sim k^{-11/5}$ and the kinetic energy flux $\Pi_u(k) \sim k^{-4/5}$, which is called Bolgiano-Obukhov scaling. The energy flux for the Rayleigh-B\'{e}nard convection (RBC) however is approximately constant in the inertial range that results in Kolmorogorv's spectrum ($E_u(k) \sim k^{-5/3}$) for the kinetic energy. The phenomenology of RBC should apply to other flows where the buoyancy feeds the kinetic energy, e.g. bubbly turbulence and fully-developed Rayleigh Taylor instability. This paper also covers several models that predict the Reynolds and Nusselt numbers of RBC. Recent works show that the viscous dissipation rate of RBC scales as $\sim \mathrm{Ra}^{1.3}$, where $\mathrm{Ra}$ is the Rayleigh number.

Original language | English |
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Journal | New Journal of Physics |

Volume | 19 |

Issue number | 2 |

Publication status | Published - 27 Feb 2017 |

### Bibliographical note

Original content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.### Keywords

- Rayleigh-Benard convection
- buoyancy-driven flows
- stably-stratified turbulence
- thermal convection
- thermally-driven turbulence

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## Cite this

Verma, M. K., Kumar, A., & Pandey, A. (2017). Phenomenology of buoyancy-driven turbulence: Recent results.

*New Journal of Physics*,*19*(2).