Near isotropic behavior of turbulent thermal convection

Dinesh Nath, Ambrish Pandey, Abhishek Kumar, and Mahendra K. Verma
Phys. Rev. Fluids 1, 064302 – Published 28 October 2016

Abstract

We investigate the anisotropy in turbulent convection in a three-dimensional (3D) box using direct numerical simulation. We compute the anisotropic parameter A=u2/(2u2), where u and u are the components of velocity perpendicular and parallel to the buoyancy direction, the shell and ring spectra, and shell-to-shell energy transfers. We observe that the flow is nearly isotropic for the Prandtl number Pr1, but the anisotropy increases with the Prandtl number. For Pr=,A0.3, anisotropy is not very significant even in extreme cases. We also observe that u feeds energy to u via pressure. The computation of shell-to-shell energy transfers reveals that the energy transfer in turbulent convection is local and forward, similar to hydrodynamic turbulence. These results are consistent with the Kolmogorov's spectrum observed by Kumar et al. [Phys. Rev. E 90, 023016 (2014)] for turbulent convection.

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  • Received 4 March 2016

DOI:https://doi.org/10.1103/PhysRevFluids.1.064302

©2016 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
Fluid Dynamics

Authors & Affiliations

Dinesh Nath*, Ambrish Pandey, Abhishek Kumar, and Mahendra K. Verma§

  • Department of Physics, Indian Institute of Technology Kanpur, Kanpur 208016, India

  • *dnath@iitk.ac.in
  • ambrishiitk@gmail.com
  • abhkr@iitk.ac.in
  • §mkv@iitk.ac.in

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Issue

Vol. 1, Iss. 6 — October 2016

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