Abstract
This paper presents the results of testing of the \(\overline {v^2 } - f\) model of turbulence with the examples of two-dimensional flow of an incompressible fluid and heat exchange with the walls of an abruptly expanding duct. The calculation data have been compared to the known experimental data, and the data of direct numerical simulation, as well as to results of calculations with the use of two versions of the k-ω model.
Similar content being viewed by others
References
P. A. Durbin, Separated flow computations with the k-ε-v 2 model, AIAA J., 33, 659–664 (1995).
G. Medic and P. Durbin, Toward improved prediction of heat transfer on turbine blades, ASME J. Turbomachinery, 124, 187–192 (2002).
A. Ooi, G. Iaccarino, P. A. Durbin, M. Behnia, Reynolds-averaged simulation of flow and heat transfer in ribbed ducts, J. Heat Fluid Flow, 23, 750–757 (2002).
D. Cokljat, S. E. Kim, G. Iaccarino, P. A. Durbin, A comparative assessment of the v 2-f model for recirculating flows, AIAA Paper, AIAA-2003-0765 (2003), p. 7.
J. C. Vogel and J. K. Eaton, Combined heat transfer and fluid dynamics measurements downstream of a backward-facing step, ASME J. Heat Transfer, 107, 922–929 (1985).
F. S. Lien, P. A. Durbin, and S. Parneix, Non-linear v 2-f modeling with application to aerodynamics flows, in: Proc. 11th Symp. on Turbulent Shear Flows, Paper 6-19 (1997), p. 6.
B. P. Leonard, A stable and accurate convective modelling procedure based on quadratic upstream interpolation, Comput. Meth. Appl. Mech. Eng., 19, 59–98 (1979).
T. Cebeci and P. Bradshaw, Physical and Computational Aspects of Convective Heat Transfer [Russian translation], Mir, Moscow (1987).
H. Le, P. Moin, and J. Kim, Direct numerical simulation of turbulent flow over a backward-facing step, J. Fluid Mech., 330, 349–374 (1997).
M. Kh. Strelets, A. K. Travin, and M. L. Shur, Use of the methods of simulation of separated vortices for calculating the hydrodynamics and heat transfer in separated turbulent flows, in: Proc. IIIrd Russian Nat. Conf. on Heat Transfer [in Russian], 21–25 October 2002, Moscow (2002), Vol. 2, pp. 273–276.
F. R. Menter, Two-equation eddy-viscosity turbulence models for engineering applications, AIAA J., 32, 1598–1605 (1994).
D. C. Wilcox, A two-equation turbulence model for wall-bounded and free-shear flows, AIAA Paper, AIAA-93-2905 (1993), p. 7.
Author information
Authors and Affiliations
Additional information
__________
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 79, No. 4, pp. 38–44, July–August, 2006.
Rights and permissions
About this article
Cite this article
Smirnov, P.E. Testing of the \(\overline {v^2 } - f\) model of turbulence in calculating the flow and heat transfer in an abruptly expanding duct. J Eng Phys Thermophys 79, 666–672 (2006). https://doi.org/10.1007/s10891-006-0151-9
Received:
Issue Date:
DOI: https://doi.org/10.1007/s10891-006-0151-9