A Nonlinear Turbulence Model for Simulating a Flow in a Square Duct

• Autorzy: Naji H. , Mompean G. , Gnanga H. , Rechia A.
• Konferencja: French-Polish Seminar on Mechanics ; 14. ; International Conference on Modelling and Simulation of the Friction Phenomena in the Physical and Technical Systems "FRICTION 2006" ; 4. (5.06.2006 ; Warsaw, Poland)
• Języki publikacji: EN

Abstrakty

EN

The aim of this paper is a priori evaluation and improvement of an explicit algebraic Reynolds stress model (EASM) which has been devised by Shih et al. (1995). This model which accounts for anisotropy is used to compute the turbulent flow through a square duct. It is based on a quadratic stress-strain relation which is obtained by applying the constraint of rapid distortion theory and the realizability constraint. The Reynolds number based on the averaged velocity and on the height of the duct is 4800. hi order to handle wall-proximity effects in the near-wall region, damping functions are implemented in the ShihM. Direct numerical simulation (DNS) of the Navier-Stokes equations is available for this case. The comparison of the ShihM results with these accurate simulations shows good agreements. The aspects of the state of such turbulent flow is summarized by the map of the second and third invariants of the Reynolds stress tensor.

Słowa kluczowe

EN

turbulence; non-linear model; anisotropy; computational fluid mechanics; realizability; rapid distortion

PL

turbulencja; modelowanie turbulencji; model nieliniowy; anizotropia; mechanika numeryczna płynów; dystorsja

• Wydawca: Oficyna Wydawnicza Politechniki Warszawskiej
• Czasopismo: Machine Dynamics Problems
• Rocznik: 2006
• Tom: Vol. 30, No. 2
• Strony: 123--135
• Opis fizyczny: Bibliogr. 10 poz., wykr.

Twórcy

autor

Naji H.

autor

Mompean G.

autor

Gnanga H.

autor

Rechia A.

• Polytec'Lille/USTL,

Bibliografia

• Gavrilakis, S., 1992, Numerical simulation of low-Reynolds number turbulent flow through a straight square duct, J. Fluid Mech., 244,101-129.
• Mansour, N. N. et al., 1991, The effect of rotation on initially anisotropic homogeneous flows, Physics Fluids, A, 3(10), 2421-2425.
• Mompean, G., Gavrilakis, S., Machiels, L., Deville, M., 1996, On predicting the turbulence-induced secondary flows using non-linear k - E model, Physics of Fluids, 8:7, 1856-1868.
• Pope, S. B., 1975, A more general effective-viscosity hypothesis, J. Fluid Mech., 72, 331-340.
• Reynolds, W. C., 1987, Fundamentals of turbulence for turbulence modelling and simulation, Lecture Notes for Von Karman Institute, Report 551-1-1, Rodes St Gen?se, Belgium, 1-66.
• Rubinstein, R., Morton, J. M., 1990, Nonlinear Reynolds stress models and renormalization group, Physics Fluids, A2,1472-1476.
• Shih, T. H., Zhu, J., Lumley, J. L., 1995, A new Reynolds stress algebraic equation model, Comput. Meth. Appl. Mech. Engrg., 125, 187-302.
• Shih, T. H., Lumley, J. L., 1993, Remarks on turbulent constitutive relations, Math. Comput. Modelling., 18(2), 9-16.
• Speziale, C. G., 1991, Analytical methods for the development of Reynolds stress model closures in turbulence, A. Rev. Fluid Mech., 23, 107-157.
• Yoshizawa, A., 1984, Statistical analysis of the derivation of the Reynolds stress from its eddy-viscosity representation, Physics Fluids, 27, 1377-1387.