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Technical Briefs

On the Structure of a Plane Turbulent Wall Jet

[+] Author and Article Information
Mohammed A. Azim

Department of Mechanical Engineering,
Bangladesh University of Engineering and Technology,
Dhaka 1000, Bangladesh
e-mail: azim@me.buet.ac.bd

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received July 29, 2012; final manuscript received March 28, 2013; published online June 5, 2013. Assoc. Editor: Mark F. Tachie.

J. Fluids Eng 135(8), 084502 (Jun 05, 2013) (4 pages) Paper No: FE-12-1350; doi: 10.1115/1.4024114 History: Received July 29, 2012; Revised March 28, 2013

The present study proposes two interactive eddy viscosities for the two layers of a plane wall jet where the influence of one layer is considered on the eddy viscosity of the other layer. Using these viscosities, the equations governing the wall jet flow are solved numerically. The flow structure extracted from the numerical solution is found in excellent agreement with the existing literature that justifies a two-layered structure of plane turbulent wall jet.

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References

Hutchins, N., and Marusic, I., 2007, “Large-Scale Influences in Near Wall Turbulence,” Philos. Trans. R. Soc. London, Ser. A, 365, pp. 647–664. [CrossRef]
Förthmann, E., 1936, “Turbulent Jet Expansion,” Report No. NACA TM 789.
Eriksson, J. G., Karlsson, R. I., and Persson, J., 1998, “An Experimental Study of a Two-Dimensional Plane Turbulent Wall Jet,” Exp. Fluids, 25, pp. 50–60. [CrossRef]
Ahlman, D., Brethouwer, G., and Johansson, A. V., 2007, “Direct Numerical Simulation of a Plane Turbulent Wall Jet,” Phys. Fluids, 19, p. 065102. [CrossRef]
George, W. K., Abrahamsson, H., Eriksson, J., Karlsson, R. I., Löfdahl, L., and Wosnik, M., 2000, “A Similarity Theory for the Turbulent Plane Wall Jet Without External Stream,” J. Fluid Mech., 425, pp. 367–411. [CrossRef]
Barenblatt, G. I., Chorin, A. J., and Prostikishin, V. M., 2005, “The Turbulent Wall Jet: A Triple-Layered Structure and Incomplete Similarity,” J. Appl. Math., 102, pp. 8850–8853. [CrossRef]
Lesieur, M., 1997, Turbulence in Fluids, Kluwer Academic Publishers, Dordrecht, The Netherlands, Chap. 4.
Anderson, D. A., Tannehill, J. C., and Pletcher, R. H., 1984, Computational Fluid Mechanics and Heat Transfer, McGraw-Hill, New York, Chap. 7.
Thomas, L. H., 1949, “Elliptic Problems in Linear Difference Equations Over a Network,” Columbia University, New York, Watson Sci. Comput. Lab Report.
Abrahamsson, H., Johansson, B., and Löfdahl, L., 1994, “A Turbulent Plane Two-Dimensional Wall Jet in a Quiescent Surrounding,” Eur. J. Mech. B/Fluids, 13, pp. 533–556.
Townsend, A. A., 1976, The Structure of Turbulent Shear Flow, Cambridge University Press, Cambridge, UK, Chap. 6.
Agrawal, A., and Prasad, A. K., 2003, “Integral Solution for the Mean Flow Profiles of Turbulent Jets, Plumes, and Wakes,” ASME J. Fluids Eng., 125, pp. 813–822. [CrossRef]
Irwin, H., 1973, “Measurements in a Self-Preserving Plane Wall Jet in a Positive Pressure Gradient,” J. Fluid Mech., 61, pp. 33–63. [CrossRef]

Figures

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Fig. 3

Growth of various flow widths

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Fig. 4

Streamwise decay of mean velocity maxima

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Fig. 5

Streamwise variation of friction velocity

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Fig. 2

Mean streamwise velocity profiles at x/h = 1

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Fig. 1

Schematic of a turbulent wall jet

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Fig. 6

Development of mean streamwise velocity

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Fig. 7

Mean streamwise velocity in inner scaling

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Fig. 8

Mean streamwise velocity in outer scaling

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Fig. 9

Mean transverse velocity in inner scaling

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Fig. 10

Mean transverse velocity in outer scaling

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Fig. 11

Reynolds shear stress in inner scaling

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Fig. 12

Reynolds shear stress in outer scaling

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