# UFR 3-10 References

# The plane wall jet

Underlying Flow Regime 3-10 © copyright ERCOFTAC 2004

## References

**Abrahamsson, H. **(1997) On turbulent wall jets. PhD thesis, Dept. of Thermo- and Fluid Dynamics, Chalmers University of Technology, Göteborg, Sweden.

**Abrahamsson, H., Johansson, B. & Löfdahl, L.** (1994) A Turbulent Plane Two-Dimensional Wall Jet in a Quiescent Surrounding. European Journal of Mechanics B. Fluids, Vol. 13, No. 5, pp. 533-556.

**Andersson, H.I., Braseth, A.O. & Holmedal, B. **(1993) Computation of the inlet wall jet in a rectangular enclosure. Comp. Fluid Dynamics, Vol. 1, pp.217-232.

**Bradshaw, P. & Gee, M.T.** (1960) Turbulent Wall Jets with and without an External Stream. Aeronautical Research Council R&M 3252.

**Capp, S.** (1983) Experimental investigation of the turbulent axisymmetric jet. PhD thesis, State University of New York at Buffalo.

**Casey, M. & Wintergerste, T. **(2000) The ERCOFTAC Best Practice Guidelines for Industrial CFD.

**Durbin, P.A. **(1991) Near-wall turbulence closure modeling without “damping functions”. Theoret. Comp.Fluid Dyn., Vol.3, pp 1-13.

**Durbin, P.A. **(1993) A Reynolds-stress model for near-wall turbulence. J. Fluid Mech. Vol. 249, pp. 465-498.

**Durbin, P.A. & Pettersson Reif, B.A. **(2002) The Elliptic Relaxation Approach, In: Closure Strategies for Turbulent and Transitional Flows. Eds. Launder & Sandham), pp. 127-152, Cambridge University Press.

**ERCOFTAC/IAHR** (1996) Proceedings of the 5^{th} ERCOFTAC/IAHR Workshop on Refined Flow Modelling. EDF/NLH, CHATOU (Paris), April 25-26, 1996. Editors: I. Dauthieu, D. Laurence, S. Richoux.

**ERCOFTAC/IAHR** (1997) Proceedings of the 6^{th} ERCOFTAC/IAHR/COST Workshop on Refined Flow Modelling, Delft University of Technology, Delft June 6-7 1997, The Netherlands. Editors: K Hanjalic, S. Obi.

**Eriksson, J. **(2003) Experimental Studies of the Plane Turbulent Wall Jet. PhD Thesis, June 2003, Technical Report 2003:11, Faxén Laboratory, Dept. of Mechanics, The Royal Institute of Technology, Stockholm.

**Eriksson, J.** (2002) The 1995 Wall Jet Experiment. Part 2: Simultaneous Three - Component Measurements. Internal report U 02:38, Vattenfall Utveckling AB, Älvkarleby, Sweden.

**Eriksson, J.** (2000) The 1995 Wall Jet Experiment. Part 1: Methodology, Data Treatment and Selected Results. Internal report UI 00:02, Vattenfall Utveckling AB, Älvkarleby, Sweden.

**Eriksson, J., Karlsson, R.I., Abrahamsson, H., Johansson, B. & George, W.K.** (2002) Evaluation of Hot-Wire Errors in a Plane Turbulent Wall Jet. Submitted to Experimental Thermal and Fluid Science Journal. (Revised and extended version of a paper presented at the ASME Sixth International Thermal Anemometry Symposium, Victoria University, Melbourne, Australia.) (Also included in the PhD thesis of Eriksson, see Eriksson (2003)).

**Eriksson, J. & Karlsson, R.I. **(2001) Highly resolved three-component LDV measurements in the plane turbulent wall jet. Paper presented at the 2^{nd} Int Symp on Turbulence and Shear Flow Phenomena. KTH, Stockholm.

**Eriksson, J. & Karlsson, R.I. **(2000) Near-Wall Turbulence Structure in the Plane Turbulent Wall Jet in Still Surroundings. Proc. 10^{th} Int Symp on Applications of Laser Techniques to Fluid Mechanics (Paper 27.6). Inst Superior Technico, Lisbon Portugal.

**Eriksson, J., Karlsson, R.I. & Persson, J.** (1999) Some new results for the turbulent wall jet, with focus on the near-wall region. Presented at the 8^{th} International Conference on Laser Anemometry — Advanced and Applications. Rome, September 1999. Organized by University of Rome “La Sapienza”.

**Eriksson, J., Karlsson, R.I. & Persson, J.** (1998) An Experimental Study of a Two-Dimensional Plane Turbulent Wall Jet. Exp Fluids 25: 50-60

**Eriksson, J., Karlsson, R.I. & Persson, J. **(1997) An Experimental Study of a Two-Dimensional Plane Turbulent Wall Jet. Report US 97:17Ö, Vattenfall Utveckling AB, Älvkarleby, Sweden

**Eriksson, J. & Karlsson, R.I.** (1995) An investigation of the spatial resolution requirements for two-point correlation measurements using LDV. Exp Fluids 18: 393-396

**Fujisawa, N. & Kobayashi, R. **(1987) Turbulence Characteristics of Wall Jets along Strong Convex Surfaces. Int. J. Mech.Sci., vol. 29, pp. 311-320.

**George, W.K.** (1995) Some new ideas for similarity of turbulent shear flows. Proc. ICHMT Symposium on Turbulence, Heat and Mass Transfer, Lisbon, Portugal (1994) (ed. K. Hanjalic & J. Pereira). Begell House.

**George, W.K., Abrahamsson, H., Eriksson, J., Karlsson, R.I., Löfdahl, L. & Wosnik, M. **(2000) A similarity theory for the turbulent plane wall jet without external stream. J. Fluid Mech., vol. 425, pp. 367—411.

**Gerodimos, G. & So, R.M.C. **(1997) Near-Wall Modeling of Plane Turbulent Wall Jets. J. Fluids Eng., vol. 119, pp. 304—313.

**Hemström, B. **(1995) Numerical simulations of a plane turbulent wall jet. 1.Computations with commercial codes. Report US 95:29,Vattenfall Utveckling AB.

**Irwin, H.P.A.H. **(1973) Measurements in a self-preserving plane wall jet in a positive pressure gradient. J. Fluid Mech, vol. 61, part 1, pp. 33-63

**Johansson, T.G. **(1988) An experimental study of a flat plate turbulent boundary layer, using laser-Doppler Velocimetry. Ph D Thesis, Chalmers University of Technology, Göteborg, Sweden

**Johansson, T.G. & Karlsson, R.I.** (1989) The Energy Budget in the Near-Wall Region of a Turbulent Boundary Layer. Applications of Laser Anemometry to Fluid Mechanics, Eds. R.J. Adrian et al. Springer-Verlag Berlin Heidelberg, pp. 3-22.

**Johnson, D.A. & Brown, J.D.** (1990) A Laser Doppler Velocimeter Approach for Near-Wall Three-Dimensional Turbulence Measurements, Paper 3.2 in Fifth International Symposium on Applications of Laser Techniques to Fluid Mechanics, Lisbon, Portugal

**Karlsson, R.I., Eriksson, J. & Persson, J. **(1993a) LDV Measurements in a Plane Wall Jet in a Large Enclosure. Laser Techniques and Applications in Fluid Mechanics, Eds. R.J. Adrian et al., Springer Verlag, Berlin-Heidelberg, pp. 311-332.

**Karlsson, R.I., Eriksson, J. & Persson, J.** (1993b) An Experimental Study of a Two-Dimensional Plane Turbulent Wall Jet. Report VU-S 93:B36, Vattenfall Utveckling AB, Älvkarleby, Sweden

**Karlsson, R.I. & Johansson, T.G. **(1988) LDV Measurements of Higher Order Moments of Velocity Fluctuations in a Turbulent Boundary Layer. Laser Anemometry in Fluid Mechanics III, Eds. R.J. Adrian et al. Ladoan - Instituto Superior Tecnico, Lisbon.

**Kobayashi, R. & Fujisawa, N.** (1982) Turbulence Characteristics of Plane Wall Jets. Report No. 352 of the Inst. of High Speed Mechanics, Tohoku University, Sendai, Japan

**Launder, B.E. & Rodi, W.** (1981) The turbulent wall jet. Prog. Aerospace Sci., Vol. 19, pp. 81—128.

**Launder, B.E. & Rodi, W.** (1983) The turbulent wall jet - measurements and modelling. Ann. Rev. Fluid Mech. pp. 429—459.

**Morel, T.** (1975) Comprehensive design of axisymmetric wind tunnel contractions. J. Fluids Eng., vol. 977, pp. 225—233.

**Morel, T. **(1977) Design of two-dimensional wind tunnel contractions. J. Fluids Eng. June 1977, pp. 371-378.

**Morrison, G.L., Johnson, M.C., Swan, D.H. & De Otte Jr, R.E.** (1991) Advantages of orthogonal and non-orthogonal three-dimensional anemometer systems. Flow Measurement and Instrumentation, Vol. 2, pp. 89-97.

**Narasimha, R., Yegna Narayan, K. & Parthasarathy, S. **(1973) Parametric analysis of turbulent wall jets in still air. Aero. J. pp. 355-359.

**Nizou, P.Y. (**1981) Heat and Momentum Transfer in a Plane Turbulent Wall Jet. J. Heat Transfer, vol. 103, pp. 138-140.

**Nizou, P.Y., Roiland M. & Tida, Ts. (**1986) Velocity Profile and Skin Friction Formulation for a Plane Turbulent Wall Jet. Paper 12..6, Third Int. Symp. on Applications of Laser Anemometry to Fluid Mechanics, Lisbon.

**Pettersson Reif, B.A. **(2000) A nonlinear eddy-viscosity model for near-wall turbulence. AIAA Paper 0135-2000.

**Schneider, M.E.** (1987) Laser-Doppler measurements of turbulence in a two-dimensional wall jet on a flat plate in stagnant surroundings. Ph.D. Thesis, University of Minnesota.

**Schneider, M.E. & Goldstein, R.J.** (1994) Laser Doppler measurement of turbulence parameters in a two-dimensional plane wall jet. Phys. Fluids, Vol. 6, pp. 3116-3129

**Tailland, A. & Mathieu, J.** (1967) Jet pariétal. Journal de Méchanique, Vol. 6, No.1, pp. 103-131

**Wygnanski, I., Katz, Y. & Horev, E.** (1992) On the Applicability of Various Scaling Laws to the Turbulent Wall Jet. J. Fluid Mech. (1992), Vol. 234, pp. 669-690.

[1] Nizou et al. were the first to report on direct wall shear stress measurements using LDV, but their data are likely to be influenced by insufficient spatial resolution and the presence of a return flow.

[2] ERCOFTAC “Classic Collection” Database, test case C. 55, at test case 55.

[3] A mean slot height was determined from measurements of the volumetric flow out of the tank vs. Dh (adjusting b to get the correct flow rate), using an experimentally determined inlet velocity profile. The "effective" b was found to be approximately 9.5 mm, which is consistent with the direct determination of the slot height within the experimental uncertainties.

[4] Some of the experimental data referred to here have not yet been submitted to the ERCOFTAC Data Bank

© copyright ERCOFTAC 2004

Contributors: Jan Eriksson; Rolf Karlsson - Vattenfall Utveckling AB