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Technical Brief

An Improved Model Including Length Scale Anisotropy for the Pressure Strain Correlation of Turbulence

[+] Author and Article Information
J. P. Panda

Department of Ocean Engineering and Naval Architecture,
IIT Kharagpur,
Kharagpur 721302, India
e-mail: jppanda@iitkgp.ac.in

H. V. Warrior

Department of Ocean Engineering and Naval Architecture,
IIT Kharagpur,
Kharagpur 721302, India
e-mail: warrior@naval.iitkgp.ernet.in

S. Maity

Department of Mechanical Engineering,
NIT Meghalaya,
Shillong 793003, Meghalaya, India

A. Mitra

Department of Ocean Engineering and Naval Architecture,
IIT Kharagpur,
Kharagpur 721302, India

K. Sasmal

Department of Ocean Technology, Policy and Environment,
The University of Tokyo,
5-1-5 Kashiwanoha, Japan

1Corresponding author.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received July 20, 2016; final manuscript received December 4, 2016; published online February 16, 2017. Assoc. Editor: Daniel Livescu.

J. Fluids Eng 139(4), 044503 (Feb 16, 2017) (6 pages) Paper No: FE-16-1465; doi: 10.1115/1.4035467 History: Received July 20, 2016; Revised December 04, 2016

In this paper, we consider the evolution of decaying homogeneous anisotropic turbulence without mean velocity gradients, where only the slow pressure rate of strain is nonzero. A higher degree nonlinear return-to-isotropy model has been developed for the slow pressure–strain correlation, considering anisotropies in Reynolds stress, dissipation rate, and length scale tensor. Assumption of single length scale across the flow is not sufficient, from which stems the introduction of length scale anisotropy tensor, which has been assumed to be a linear function of Reynolds stress and dissipation tensor. The present model with anisotropy in length scale shows better agreement with well-accepted experimental results and an improvement over the Sarkar and Speziale (SS) quadratic model.

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References

Figures

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Fig. 1

Phase space comparison with the axisymmetric expansion experiment of Choi and Lumley [22]

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Fig. 2

Time evolution of II with the axisymmetric expansion experiment of Choi and Lumley [22]

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Fig. 3

Time evolution of III with the axisymmetric expansion experiment of Choi and Lumley [22]

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Fig. 4

Time evolution of II with the plane contraction experiment of Le Penven et al. [21]

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Fig. 5

Time evolution of III with the plane contraction experiment of Le Penven et al. [21]

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Fig. 6

Time evolution of III with the plane distortion experiment of Choi and Lumley [22]

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Fig. 7

Time evolution of III with the plane distortion experiment of Le Penven et al. [21]

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