Effect of a contraction on turbulence. Part 2: Theory

B. Anders Pettersson Reif; William K. George; Johan Hjärne

Effect of a contraction on turbulence. Part 2: Theory

B. Anders Pettersson Reif
, William K. George
, Johan Hjärne

Department of Mechanical and Aerospace Engineering

Norwegian Defense Research Institute
Chalmers University of Technology
AIAA

Research output: Contribution to conference › Paper › peer-review

1 Scopus citations

Abstract

This paper considers the theoretical problems associated with the effect of a contraction on turbulence. After a brief critique of classical rapid distortion theory, a new definition of rapid distortion will be provided. The implications of this definition will be explored in two different theoretical analyses: one using equilibrium similarity theory and the other using the single point RANS equations. Both will be seen to yield solutions in which the turbulence intensities are powers of the local mean velocity. The predictions will compared to the experimental results presented in Part 1. They will also be used to evaluate a popular Reynolds stress model. An important result is the coefficient of the rapid term in the pressure strain-rate correlation for this model must be zero in the limit of rapid distortion.

Original language	English
Pages	4253-4261
Number of pages	9
State	Published - 2005
Event	43rd AIAA Aerospace Sciences Meeting and Exhibit - Reno, NV, United States Duration: Jan 10 2005 → Jan 13 2005

Conference

Conference	43rd AIAA Aerospace Sciences Meeting and Exhibit
Country/Territory	United States
City	Reno, NV
Period	01/10/05 → 01/13/05

Cite this

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title = "Effect of a contraction on turbulence. Part 2: Theory",

abstract = "This paper considers the theoretical problems associated with the effect of a contraction on turbulence. After a brief critique of classical rapid distortion theory, a new definition of rapid distortion will be provided. The implications of this definition will be explored in two different theoretical analyses: one using equilibrium similarity theory and the other using the single point RANS equations. Both will be seen to yield solutions in which the turbulence intensities are powers of the local mean velocity. The predictions will compared to the experimental results presented in Part 1. They will also be used to evaluate a popular Reynolds stress model. An important result is the coefficient of the rapid term in the pressure strain-rate correlation for this model must be zero in the limit of rapid distortion.",

author = "Reif, \{B. Anders Pettersson\} and George, \{William K.\} and Johan Hj{\"a}rne",

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T1 - Effect of a contraction on turbulence. Part 2

T2 - 43rd AIAA Aerospace Sciences Meeting and Exhibit

AU - Reif, B. Anders Pettersson

AU - George, William K.

AU - Hjärne, Johan

PY - 2005

Y1 - 2005

N2 - This paper considers the theoretical problems associated with the effect of a contraction on turbulence. After a brief critique of classical rapid distortion theory, a new definition of rapid distortion will be provided. The implications of this definition will be explored in two different theoretical analyses: one using equilibrium similarity theory and the other using the single point RANS equations. Both will be seen to yield solutions in which the turbulence intensities are powers of the local mean velocity. The predictions will compared to the experimental results presented in Part 1. They will also be used to evaluate a popular Reynolds stress model. An important result is the coefficient of the rapid term in the pressure strain-rate correlation for this model must be zero in the limit of rapid distortion.

AB - This paper considers the theoretical problems associated with the effect of a contraction on turbulence. After a brief critique of classical rapid distortion theory, a new definition of rapid distortion will be provided. The implications of this definition will be explored in two different theoretical analyses: one using equilibrium similarity theory and the other using the single point RANS equations. Both will be seen to yield solutions in which the turbulence intensities are powers of the local mean velocity. The predictions will compared to the experimental results presented in Part 1. They will also be used to evaluate a popular Reynolds stress model. An important result is the coefficient of the rapid term in the pressure strain-rate correlation for this model must be zero in the limit of rapid distortion.

UR - https://www.scopus.com/pages/publications/30744466189

M3 - Paper

AN - SCOPUS:30744466189

SP - 4253

EP - 4261

Y2 - 10 January 2005 through 13 January 2005

ER -

Effect of a contraction on turbulence. Part 2: Theory

Abstract

Conference

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