TY - GEN

T1 - Simple model of decay of homogeneous turbulence affected by weak fluid acceleration

AU - Suzuki, H.

AU - Mochizuki, S.

N1 - Funding Information:
The present study is supported in part by the Japanese Ministry of Education, Culture, Sports, Science and Technology through Grants-in-Aid (Nos. 25289030, 25420115, 15K05792, 15K13871, and 15K17970).
Publisher Copyright:
© 2006 Australasian Fluid Mechanics Society. All rights reserved.

PY - 2016

Y1 - 2016

N2 - This paper discusses the development of a simple model for describing the decay of a homogeneous turbulence subjected to a weak fluid acceleration. A sufficiently weak fluid acceleration may not affect the anisotropy of a decaying homogeneous turbulence. Additionally, the turbulent kinetic energy and its dissipation each follow a power law in homogeneous turbulence when the weak fluid acceleration is absent. Considering these characteristics, the governing equations describing the effect of the weak acceleration on the turbulent kinetic energy and its dissipation are derived. The derived equations are then numerically simulated. When the fluid acceleration is sufficiently small, its effect on the turbulent time scale is negligible. This result simplifies the governing equation for the kinetic energy and yields a simple formula describing the effect of the fluid acceleration. However, the derived simple formula does not necessarily agree with the numerical results. The deviation between the simple formula and the numerical results is considered to be characterized by the decay exponent.

AB - This paper discusses the development of a simple model for describing the decay of a homogeneous turbulence subjected to a weak fluid acceleration. A sufficiently weak fluid acceleration may not affect the anisotropy of a decaying homogeneous turbulence. Additionally, the turbulent kinetic energy and its dissipation each follow a power law in homogeneous turbulence when the weak fluid acceleration is absent. Considering these characteristics, the governing equations describing the effect of the weak acceleration on the turbulent kinetic energy and its dissipation are derived. The derived equations are then numerically simulated. When the fluid acceleration is sufficiently small, its effect on the turbulent time scale is negligible. This result simplifies the governing equation for the kinetic energy and yields a simple formula describing the effect of the fluid acceleration. However, the derived simple formula does not necessarily agree with the numerical results. The deviation between the simple formula and the numerical results is considered to be characterized by the decay exponent.

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M3 - Conference contribution

AN - SCOPUS:85084014938

T3 - Proceedings of the 20th Australasian Fluid Mechanics Conference, AFMC 2016

BT - Proceedings of the 20th Australasian Fluid Mechanics Conference, AFMC 2006

PB - Australasian Fluid Mechanics Society

T2 - 20th Australasian Fluid Mechanics Conference, AFMC 2006

Y2 - 5 December 2016 through 8 December 2016

ER -