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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April 2017
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An Improved Model Including Length Scale Anisotropy for the Pressure Strain Correlation of Turbulence
J. P. Panda,
J. P. Panda
Department of Ocean Engineering and Naval Architecture,
IIT Kharagpur,
Kharagpur 721302, India
e-mail: jppanda@iitkgp.ac.in
IIT Kharagpur,
Kharagpur 721302, India
e-mail: jppanda@iitkgp.ac.in
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H. V. Warrior,
H. V. Warrior
Department of Ocean Engineering and Naval Architecture,
IIT Kharagpur,
Kharagpur 721302, India
e-mail: warrior@naval.iitkgp.ernet.in
IIT Kharagpur,
Kharagpur 721302, India
e-mail: warrior@naval.iitkgp.ernet.in
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S. Maity,
S. Maity
Department of Mechanical Engineering,
NIT Meghalaya,
Shillong 793003, Meghalaya, India
NIT Meghalaya,
Shillong 793003, Meghalaya, India
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A. Mitra,
A. Mitra
Department of Ocean Engineering and Naval Architecture,
IIT Kharagpur,
Kharagpur 721302, India
IIT Kharagpur,
Kharagpur 721302, India
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K. Sasmal
K. Sasmal
Department of Ocean Technology, Policy and Environment,
The University of Tokyo,
5-1-5 Kashiwanoha, Japan
The University of Tokyo,
5-1-5 Kashiwanoha, Japan
Search for other works by this author on:
J. P. Panda
Department of Ocean Engineering and Naval Architecture,
IIT Kharagpur,
Kharagpur 721302, India
e-mail: jppanda@iitkgp.ac.in
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
IIT Kharagpur,
Kharagpur 721302, India
e-mail: warrior@naval.iitkgp.ernet.in
S. Maity
Department of Mechanical Engineering,
NIT Meghalaya,
Shillong 793003, Meghalaya, India
NIT Meghalaya,
Shillong 793003, Meghalaya, India
A. Mitra
Department of Ocean Engineering and Naval Architecture,
IIT Kharagpur,
Kharagpur 721302, India
IIT Kharagpur,
Kharagpur 721302, India
K. Sasmal
Department of Ocean Technology, Policy and Environment,
The University of Tokyo,
5-1-5 Kashiwanoha, Japan
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. Apr 2017, 139(4): 044503 (6 pages)
Published Online: February 16, 2017
Article history
Received:
July 20, 2016
Revised:
December 4, 2016
Citation
Panda, J. P., Warrior, H. V., Maity, S., Mitra, A., and Sasmal, K. (February 16, 2017). "An Improved Model Including Length Scale Anisotropy for the Pressure Strain Correlation of Turbulence." ASME. J. Fluids Eng. April 2017; 139(4): 044503. https://doi.org/10.1115/1.4035467
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