TECHNICAL PAPERS
Oct 1, 1984

Turbulent Plane Jet Structure

Publication: Journal of Engineering Mechanics
Volume 110, Issue 10

Abstract

In the numerical modeling, solutions are highly subject to the boundary conditions that should mathematically represent as much physical phenomena as possible. However, in the predictions of a turbulent flow associated with a well‐developed turbulent plane jet, the currently insufficient similarity solutions of plane jet profiles cause so much trouble in the starting points that several test runs have to be performed in order to examine the exactness of the guessed profiles of some turbulence variables. In the present study, analytical solutions of the stream function, vorticity, shear stress, and viscosity are derived from Tollmein's solution for a plane turbulent jet. Mean‐while, a numerical study based on the two‐equation, Kε, turbulence model is used to examine this set of similarity solutions. Except for the eddy viscosity, good agreement is obtained between the numerical and analytic solutions. From the comparisons, there also results a simple modification to the analytic solution of the eddy viscosity profile.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Abramovich, G. N., “The Theory of Turbulent Jets,” Massachusetts Institute of Technology Press, Cambridge, Mass., 1963.
2.
Albertson, M. L., Dai, Y. B., Jensen, R. A., and Rouse, H., “Diffusion of Submerged Jets,” Transactions, ASCE, Vol. 115, 1950, pp. 639–697.
3.
Bradbury, L. J. S., “The Structure of a Self‐Preserving Turbulent Plane Jet,” Journal of Fluid Mechanics, Vol. 23, Part 1, 1965.
4.
Guo, C. Y., “Numerical Modeling of a Turbulent Plane Jet Impingement on a Solid Wall,” thesis presented to the University of Illinois, at Urbana, Ill., in 1982, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
5.
Launder, B. E., Morse, A., Rodi, W., and Spalding, D. B., “A Comparison of the Performance of Six Turbulence Models,” presented at the July 20–21, 1972, NASA Conference of Free Turbulence Shear Flows, held at Hampton, Virginia.
6.
Launder, B. E., and Spalding, D. B., “The Numerical Computation of Turbulence Flows,” Computer Methods in Applied Mechanics and Engineering, Vol. 3, 1974, pp. 269–289.
7.
Minh, H. Ha, and Chassaing, P., “Some Numerical Predictions of Incompressible Turbulent Flows,” Proceedings of the First International Conference of Numerical Methods in Laminar and Turbulent Flow, University College Swansea, Swansea, U.K., 1978, pp. 289–301.
8.
Rajartnam, N., Turbulent Jets, Elsevier Scientific Publishing Company, 1976.
9.
Runchal, A. K., Spalding, D. B., and Wolfshtein, M., “Numerical Solutions of the Elliptic Equations for Transport of Vorticity, Heat, and Matter in Two‐Dimensional Flow,” The Physics of Fluids, Supplement II, 1969, pp. 21–28.
10.
Schlichting, H., Boundary Layer Theory, The McGraw‐Hill Book Co., New York, N.Y., 1974.
11.
Tollmein, W., “Berechnung Turbulenter Asbreitungs‐Vorgange,” Z. Angew. Math., Vol. 6, 1926, pp. 1–2.
12.
Wolfshtein, M., “Some Solution of the Plane Turbulent Impinging Jet,” Journal of Basic Engineering, Dec., 1970, pp. 915–922.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 110Issue 10October 1984
Pages: 1485 - 1497

History

Published online: Oct 1, 1984
Published in print: Oct 1984

Permissions

Request permissions for this article.

Authors

Affiliations

Chwen‐Yuan Guo, A. M. ASCE
Asst. Prof., Dept. of Civ. Engrg., Univ. of Colorado at Denver, Denver, Colo.
W. Hall C. Maxwell, F. ASCE
Prof., Dept. of Civ. Engrg., Univ. of Illinois at Urbana‐Champaign, Urbana, Ill.

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share