Three-zonal Wall Function for k-ε Turbulence Models
Chmielewski Maciej, Gieras Marian
Warsaw University of Technology, Institute of Heat Engineering
Nowowiejska Street 21/25, 00-665 Warsaw
E-mail: chmielfam@wp.pl, marian.gieras@itc.pw.edu.pl
Received:
Received: 18 February 2013; revised: 19 March 2013; accepted: 2 April 2013; published online: 22 May 2013
DOI: 10.12921/cmst.2013.19.02.107-114
OAI: oai:lib.psnc.pl:462
Abstract:
Most commercially available wall functions for k-ε turbulence models base on the two-zonal near-wall flow division assumption. Viscous and log-law sublayers are distinguished. In this article the three-zonal wall function concept with a buffer sublayer is developed. The aim of this new wall function is to improve the mean streamwise U + velocity profile. The proposed wall function is validated on backward-facing step experimental data. Physical implications of the model performance are also discussed.
Key words:
References:
[1] J.O. Hinze, Turbulence, MacGraw-Hill 1975.
[2] K. Hanjali ́ c , B.E. Lauder, Contribution towards a Reynolds-stress
Closure for low-Reynolds number turbulence, J. Fluid Mech. 74, 593 (1976).
[3] H. Tennekes and J.L. Lumley, A first Course in Turbulence, MIT
Press 1972.
[4] D.B. Spalding, A Single Formula for the “Law of the Wall”, J. Appl.
Mech. 28(3), 455 (1961).
[5] T.H. Shih, L.A. Povinelli, N.S. Liu, M.G. Potapczuk and J.L. Lum-
ley, A Generalized Wall Function, NASA Technical Memorandum –
1999-209398 (1999).
[6] D.M. Driver and H.L. Seegmiller, Backward-facing step with inclined
opposite wall–experiments by Driver and Seegmiller, 1985.
[7] D.M. Driver and H.L. Seegmiller, Features of a reattachment turbu-
lent shear layer in divergent channel flow. AIAA J. 23(2), 163-171 (1985).
[8] ANSYS, Inc., ANSYS FLUENT 14 Theory Guide, November 2011.
[9] ANSYS, Inc., ANSYS FLUENT 14 UDF Manual, November 2011.
[10] B.E. Launder and D.B. Spalding, The Numerical Computation of
Turbulent Flows, Computer Methods in Applied Mechanics and
Engineering 3, 269-289 (1974).
[11] D.C. Wilcox, Turbulence Modeling for CFD, DCW Industries Inc:
La Canada, CA, 1998.
[12] V.C. Patel, W. Rodi and Scheuerer, Turbulence models for near-
wall and low Reynolds numbers flows: A review, AIAA J. 23(9),
1308-1319 (1985).
[13] R. Absi, A simple eddy viscosity formulation for turbulent boundary
layers near smooth walls, C. R. Mecanique 337, 158-165 (2009).
[14] 2D Backward Facing Step, NASA Langley Research Center, http://turbmodels.larc.nasa.gov/backstep_-val.html, August 2012.
Most commercially available wall functions for k-ε turbulence models base on the two-zonal near-wall flow division assumption. Viscous and log-law sublayers are distinguished. In this article the three-zonal wall function concept with a buffer sublayer is developed. The aim of this new wall function is to improve the mean streamwise U + velocity profile. The proposed wall function is validated on backward-facing step experimental data. Physical implications of the model performance are also discussed.
Key words:
References:
[1] J.O. Hinze, Turbulence, MacGraw-Hill 1975.
[2] K. Hanjali ́ c , B.E. Lauder, Contribution towards a Reynolds-stress
Closure for low-Reynolds number turbulence, J. Fluid Mech. 74, 593 (1976).
[3] H. Tennekes and J.L. Lumley, A first Course in Turbulence, MIT
Press 1972.
[4] D.B. Spalding, A Single Formula for the “Law of the Wall”, J. Appl.
Mech. 28(3), 455 (1961).
[5] T.H. Shih, L.A. Povinelli, N.S. Liu, M.G. Potapczuk and J.L. Lum-
ley, A Generalized Wall Function, NASA Technical Memorandum –
1999-209398 (1999).
[6] D.M. Driver and H.L. Seegmiller, Backward-facing step with inclined
opposite wall–experiments by Driver and Seegmiller, 1985.
[7] D.M. Driver and H.L. Seegmiller, Features of a reattachment turbu-
lent shear layer in divergent channel flow. AIAA J. 23(2), 163-171 (1985).
[8] ANSYS, Inc., ANSYS FLUENT 14 Theory Guide, November 2011.
[9] ANSYS, Inc., ANSYS FLUENT 14 UDF Manual, November 2011.
[10] B.E. Launder and D.B. Spalding, The Numerical Computation of
Turbulent Flows, Computer Methods in Applied Mechanics and
Engineering 3, 269-289 (1974).
[11] D.C. Wilcox, Turbulence Modeling for CFD, DCW Industries Inc:
La Canada, CA, 1998.
[12] V.C. Patel, W. Rodi and Scheuerer, Turbulence models for near-
wall and low Reynolds numbers flows: A review, AIAA J. 23(9),
1308-1319 (1985).
[13] R. Absi, A simple eddy viscosity formulation for turbulent boundary
layers near smooth walls, C. R. Mecanique 337, 158-165 (2009).
[14] 2D Backward Facing Step, NASA Langley Research Center, http://turbmodels.larc.nasa.gov/backstep_-val.html, August 2012.
