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Incorporating a tensor in the effective viscosity model of turbulence and the Reynolds stress

  • Received: 30 August 2018 Accepted: 04 November 2018 Published: 15 November 2018
  • The mean field model of turbulence proposed by the author describes interaction among mean velocity and effective viscosity. In this paper, the model is extended to incorporate a tensor field by keeping invariance under Galilei transformation and rotation. It is found that, when the form and the strengths of interactions among fields are appropriately chosen, the symmetric components of the tensor for steady channel turbulence exhibit fair correspondence with the observed Reynolds stress.

    Citation: Koichi Takahashi. Incorporating a tensor in the effective viscosity model of turbulence and the Reynolds stress[J]. AIMS Mathematics, 2018, 3(4): 554-564. doi: 10.3934/Math.2018.4.554

    Related Papers:

  • The mean field model of turbulence proposed by the author describes interaction among mean velocity and effective viscosity. In this paper, the model is extended to incorporate a tensor field by keeping invariance under Galilei transformation and rotation. It is found that, when the form and the strengths of interactions among fields are appropriately chosen, the symmetric components of the tensor for steady channel turbulence exhibit fair correspondence with the observed Reynolds stress.


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  • © 2018 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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