Complexity of viscous dissipation in turbulent thermal convection

Shashwat Bhattacharya; Ambrish Pandey; Abhishek Kumar; Mahendra K Verma

doi:10.1063/1.5022316

Complexity of viscous dissipation in turbulent thermal convection

Shashwat Bhattacharya, Ambrish Pandey, Abhishek Kumar, Mahendra K Verma

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Abstract

Using direct numerical simulations of turbulent thermal convection for the Rayleigh number between 106 and 108 and unit Prandtl number, we derive scaling relations for viscous dissipation in the bulk and in the boundary layers. We show that contrary to the general belief, the total viscous dissipation in the bulk is larger, albeit marginally, than that in the boundary layers. The bulk dissipation rate is similar to that in hydrodynamic turbulence with log-normal distribution, but it differs from (U3/d) by a factor of Ratextminus0.18. Viscous dissipation in the boundary layers is rarer but more intense with a stretched-exponential distribution.

Original language	English
Article number	031702
Number of pages	6
Journal	Physics of Fluids
Volume	30
Issue number	3
DOIs	https://doi.org/10.1063/1.5022316
Publication status	Published - 29 Mar 2018

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Copyright © and Moral Rights are retained by the author(s) and/ or other copyright owners. A copy can be downloaded for personal non-commercial research or study, without prior permission or charge. This item cannot be reproduced or quoted extensively from without first obtaining permission in writing from the copyright holder(s). The content must not be changed in any way or sold commercially in any format or medium without the formal permission of the copyright holders.

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abstract = "Using direct numerical simulations of turbulent thermal convection for the Rayleigh number between 106 and 108 and unit Prandtl number, we derive scaling relations for viscous dissipation in the bulk and in the boundary layers. We show that contrary to the general belief, the total viscous dissipation in the bulk is larger, albeit marginally, than that in the boundary layers. The bulk dissipation rate is similar to that in hydrodynamic turbulence with log-normal distribution, but it differs from (U3/d) by a factor of Ratextminus0.18. Viscous dissipation in the boundary layers is rarer but more intense with a stretched-exponential distribution.",

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AU - Pandey, Ambrish

AU - Kumar, Abhishek

AU - Verma, Mahendra K

N1 - Copyright © and Moral Rights are retained by the author(s) and/ or other copyright owners. A copy can be downloaded for personal non-commercial research or study, without prior permission or charge. This item cannot be reproduced or quoted extensively from without first obtaining permission in writing from the copyright holder(s). The content must not be changed in any way or sold commercially in any format or medium without the formal permission of the copyright holders.

PY - 2018/3/29

Y1 - 2018/3/29

N2 - Using direct numerical simulations of turbulent thermal convection for the Rayleigh number between 106 and 108 and unit Prandtl number, we derive scaling relations for viscous dissipation in the bulk and in the boundary layers. We show that contrary to the general belief, the total viscous dissipation in the bulk is larger, albeit marginally, than that in the boundary layers. The bulk dissipation rate is similar to that in hydrodynamic turbulence with log-normal distribution, but it differs from (U3/d) by a factor of Ratextminus0.18. Viscous dissipation in the boundary layers is rarer but more intense with a stretched-exponential distribution.

AB - Using direct numerical simulations of turbulent thermal convection for the Rayleigh number between 106 and 108 and unit Prandtl number, we derive scaling relations for viscous dissipation in the bulk and in the boundary layers. We show that contrary to the general belief, the total viscous dissipation in the bulk is larger, albeit marginally, than that in the boundary layers. The bulk dissipation rate is similar to that in hydrodynamic turbulence with log-normal distribution, but it differs from (U3/d) by a factor of Ratextminus0.18. Viscous dissipation in the boundary layers is rarer but more intense with a stretched-exponential distribution.

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VL - 30

JO - Physics of Fluids

JF - Physics of Fluids

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Complexity of viscous dissipation in turbulent thermal convection

Abstract

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