Near isotropic behavior of turbulent thermal convection

Dinesh Nath; Ambrish Pandey; Abhishek Kumar; Mahendra K. Verma

doi:10.1103/physrevfluids.1.064302

Near isotropic behavior of turbulent thermal convection

Dinesh Nath, Ambrish Pandey, Abhishek Kumar, Mahendra K. Verma

Research output: Contribution to journal › Article › peer-review

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 Pr ≈ 1, but the anisotropy increases with the Prandtl number. For Pr = ∞,A ≈ 0.3, anisotropy is not very significant even inmextreme 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

Original language	English (US)
Journal	Physical Review Fluids
Volume	1
Issue number	6
DOIs	https://doi.org/10.1103/physrevfluids.1.064302
State	Published - Oct 28 2016
Externally published	Yes

Bibliographical note

KAUST Repository Item: Exported on 2021-04-02
Acknowledgements: We thank Biplab Dutta, Sandeep Reddy, Rohit Kumar, Anando Chatterjee, and J. K. Bhattacharjee for useful discussions and help in postprocessing. This work was supported by research grants from Indo-French Centre for the Promotion of Advanced Research (Grant No. SPO/IFCPAR/PHY) and Science and Engineering Research Board, India (Grant No. SERB/F/3279). Our numerical simulations were performed on HPC cluster of IIT Kanpur, Param Yuva, at the Centre for Development of Advanced Computing (CDAC), and Shaheen supercomputer at KAUST Supercomputing Laboratory, Saudi Arabia.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.

Access to Document

10.1103/physrevfluids.1.064302

Cite this

@article{cb6ad4f8c1414088a8d6bfafac2a3c61,

title = "Near isotropic behavior of turbulent thermal convection",

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 Pr ≈ 1, but the anisotropy increases with the Prandtl number. For Pr = ∞,A ≈ 0.3, anisotropy is not very significant even inmextreme 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{\textquoteright}s spectrum observed by Kumar et al. [Phys. Rev. E 90, 023016 (2014)] for turbulent convection",

author = "Dinesh Nath and Ambrish Pandey and Abhishek Kumar and Verma, {Mahendra K.}",

note = "KAUST Repository Item: Exported on 2021-04-02 Acknowledgements: We thank Biplab Dutta, Sandeep Reddy, Rohit Kumar, Anando Chatterjee, and J. K. Bhattacharjee for useful discussions and help in postprocessing. This work was supported by research grants from Indo-French Centre for the Promotion of Advanced Research (Grant No. SPO/IFCPAR/PHY) and Science and Engineering Research Board, India (Grant No. SERB/F/3279). Our numerical simulations were performed on HPC cluster of IIT Kanpur, Param Yuva, at the Centre for Development of Advanced Computing (CDAC), and Shaheen supercomputer at KAUST Supercomputing Laboratory, Saudi Arabia. This publication acknowledges KAUST support, but has no KAUST affiliated authors.",

year = "2016",

month = oct,

day = "28",

doi = "10.1103/physrevfluids.1.064302",

language = "English (US)",

volume = "1",

journal = "Physical Review Fluids",

issn = "2469-990X",

publisher = "American Physical Society",

number = "6",

}

TY - JOUR

T1 - Near isotropic behavior of turbulent thermal convection

AU - Nath, Dinesh

AU - Pandey, Ambrish

AU - Kumar, Abhishek

AU - Verma, Mahendra K.

N1 - KAUST Repository Item: Exported on 2021-04-02 Acknowledgements: We thank Biplab Dutta, Sandeep Reddy, Rohit Kumar, Anando Chatterjee, and J. K. Bhattacharjee for useful discussions and help in postprocessing. This work was supported by research grants from Indo-French Centre for the Promotion of Advanced Research (Grant No. SPO/IFCPAR/PHY) and Science and Engineering Research Board, India (Grant No. SERB/F/3279). Our numerical simulations were performed on HPC cluster of IIT Kanpur, Param Yuva, at the Centre for Development of Advanced Computing (CDAC), and Shaheen supercomputer at KAUST Supercomputing Laboratory, Saudi Arabia. This publication acknowledges KAUST support, but has no KAUST affiliated authors.

PY - 2016/10/28

Y1 - 2016/10/28

N2 - 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 Pr ≈ 1, but the anisotropy increases with the Prandtl number. For Pr = ∞,A ≈ 0.3, anisotropy is not very significant even inmextreme 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

AB - 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 Pr ≈ 1, but the anisotropy increases with the Prandtl number. For Pr = ∞,A ≈ 0.3, anisotropy is not very significant even inmextreme 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

UR - http://hdl.handle.net/10754/668485

UR - https://link.aps.org/doi/10.1103/PhysRevFluids.1.064302

U2 - 10.1103/physrevfluids.1.064302

DO - 10.1103/physrevfluids.1.064302

M3 - Article

SN - 2469-990X

VL - 1

JO - Physical Review Fluids

JF - Physical Review Fluids

IS - 6

ER -

Near isotropic behavior of turbulent thermal convection

Abstract

Bibliographical note

Access to Document

Other files and links

Fingerprint

Cite this