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A Four-Equation Eddy-Viscosity Approach for Modeling Bypass Transition

Published online by Cambridge University Press:  03 June 2015

Guoliang Xu  and
Song Fu
Guoliang Xu
Affiliation:
China Aerodynamics Research and Development Center, Mianyang 621000, China School of Aerospace, Tsinghua University, Beijing 100084, China
Song Fu*
Affiliation:
School of Aerospace, Tsinghua University, Beijing 100084, China
*
*Corresponding author. Email: [email protected]
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Abstract

It is very important to predict the bypass transition in the simulation of flows through turbomachinery. This paper presents a four-equation eddy-viscosity turbulence transition model for prediction of bypass transition. It is based on the SST turbulence model and the laminar kinetic energy concept. A transport equation for the non-turbulent viscosity is proposed to predict the development of the laminar kinetic energy in the pre-transitional boundary layer flow which has been observed in experiments. The turbulence breakdown process is then captured with an intermittency transport equation in the transitional region. The performance of this new transition model is validated through the experimental cases of T3AM, T3A and T3B. Results in this paper show that the new transition model can reach good agreement in predicting bypass transition, and is compatible with modern CFD software by using local variables.

Keywords

76F0676F55Bypass transitionnon-turbulent viscosityfree stream turbulenceturbulence model
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 6 , Issue 4 , August 2014 , pp. 523 - 538
Copyright
Copyright © Global-Science Press 2014

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References

[1] Dryden, H. L., Airflow in the boundary layer near a plate, NACA Rep., (1936), 562.Google Scholar
[2] Taylor, G., Some recent developments in the study of turbulence, Fifth International Congress for Applied Mechanics, (1933), pp. 294–310.Google Scholar
[3] Klebanoff, P., Effect offree-stream turbulence on a laminar boundary layer, Bull. Am. Phys. Soc., 16.Google Scholar
[4] Kendall, J., Experimental study of disturbances produced in a pre-transitional boundary layer, AIAA Paper, (1985), 85–1695.Google Scholar
[5] Kendall, J., Boundary layer receptivity to free steam turbulence, AIAA Paper, (1990), 90–1504 Google Scholar
[6] Westin, K., Boiko, A., Klingmann, B., Kozlov, V. and Alfredsson, P., Experiments in a boundary layer subjected to free stream turbulence: Part 1. boundary layer structure and receptivity, J. Fluid Mech., 281 (1994), pp. 193–218.Google Scholar
[7] Matsubara, M. and Alfredsson, P. H., Disturbances growth in boundary layers subjected to free-stream turbulence, J. Fluid. Mech., 430 (2001), pp. 149–168.CrossRefGoogle Scholar
[8] Fransson, J., Matsubara, M. and Alfredsson, , Transition induced by free-stream turbu-lence, J. Fluid Mech., 527 (2005), pp. 1–25.Google Scholar
[9] Jacobs, R. and Durbin, P., Simulation of bypass transition, J. Fluid Mech., 428 (2001), pp. 185–212.Google Scholar
[10] Zaki, T. and Durbin, P. A., Mode interaction and the bypass rote to transition, J. Fluid Mech., 531 (2005), pp. 85–111.CrossRefGoogle Scholar
[11] Liu, YANG, Zaki, T. and Durbin, P. A., Boundary layer transition by interaction of discrete and continuous modes, J. Fluid Mech., (2008).CrossRefGoogle Scholar
[12] Butler, K. and Farrell, B., Three-dimensional optimal perturbations in viscous shear flow, Phys. Fluids, 4(8) (1992), pp. 1637–1650.Google Scholar
[13] Andersson, P., Berggren, M. and Henningson, D. S., optimal disturbances and bypass transition in boundary layers, Phys. Fluids, 11(1) (1999), pp. 134–150.Google Scholar
[14] Luchini, P., Reynolds-number-independent instability of the boundary layer over aflat surface: optimal perturbations, J. Fluid Mech., 404 (1999), pp. 289–309.Google Scholar
[15] Dhawan, S. and Narasimha, R., Some properties of boundary layer during the transition from laminar to turbulent flow motion, J. Fluid Mech., 3 (1958), pp. 418–436.Google Scholar
[16] Gostelow, J. P, Hong, G., Melwani, N. and Walker, G. J., Turbulence spot development under a moderate pressure gradient, ASME paper, (1993), 93–GT-377.Google Scholar
[17] Cho, J. and Chung, M., A k—ω—γ-equation turbulence model, J. Fluid Mech., 237 (1992), pp. 301–322.CrossRefGoogle Scholar
[18] Higazy, M. G., Numerical prediction of transition boundary-layer flow using new intermittency transport equation, Aero. J., 106 (2002), 1060.Google Scholar
[19] Savill, A., Bypass Transition Using Conventional Closures, in Closure Strategies for Turbulent and Transitional Flow, Launder, B. E. and Sandham, N. D., Cambrige University Press, 2002, pp. 493–521.Google Scholar
[20] Steelant, J. and Dick, E., Modeling of laminar-turbulent transition for high freestream turbu-lence, J. Fluids Eng., 123 (2001), pp. 22–30.Google Scholar
[21] Suzen, Y. and Huang, P., Modeling of flow transition using an intermittency transport equation, J. Fluids Eng., 122 (2000), pp. 273–284.CrossRefGoogle Scholar
[22] Pecnik, R., Sanz, W., Gehrer, A. and Woiserschlager, J., Transition modeling using two different intermittency transport equations, Flow, Turb. Combustion, 70 (2003), pp. 299–323.Google Scholar
[23] Wang, L. and Fu, S., Development of an intermittency equation for the modeling of the super-sonic/hypersonic boundary layer flow transition, Flow Turbulence Combust, 87 (2011), pp. 165–187.Google Scholar
[24] Fu, S. and Wang, L., Progress in turbulence/transition modeling, Adv. Appl. Math. Mec] 3(2007), pp. 409–416.Google Scholar
[25] Mayle, R., The role of laminar-turbulent transition in gas turbine engines, J. Turbomach., 1 (1991), pp. 509–537.Google Scholar
[26] Abu-Ghannam, B. and Shaw, R., Natural transition of boundary layers-the effect of turbulent pressure gradient and flow history, J. Mech. Eng. Sci., 22(5) (1980), pp. 213–228.Google Scholar
[27] Menter, F. R., Langtry, R. B., Volker, S. and Huang, P. G., Transition modeling forgenal purpose CFD codes, In: ERCOFTAC International Symposium on Engineering Turbulen Modeling and Measurements, 2005.Google Scholar
[28] Mayle, R. and Schulz, A., The path to predicting bypass transition, J. Turbomach., 119 (1997) pp. 405–411.Google Scholar
[29] Walters, D. K. and Leylek, J. H., A new model for boundary layer transition using a sing point RANS approach, J. Turbomach., 126 (2004), pp. 193–2002.Google Scholar
[30] Wang, L. and Fu, S., A new transition/turbulence model for the flow transition in superson boundary layer, Chinese J. Theoret. Appl. Mech., 42(2) (2009), pp. 162–168.Google Scholar
[31] Lin, C. C., Motion in the boundary layer with a rapidly oscillating external flow, Proc, 9th Int. Congress Appl. Mech. Brussels, 4 (1957), pp. 156–167.Google Scholar
[32] Dullenkopf, K. and Mayle, R. E., An account offree-stream turbulence length scale on lamin heat transfer, ASME J. Turbomach., 117 (1995), pp. 401–406.Google Scholar
[33] Lardeau, S., Li, N. and Leschziner, M., Large eddy simulation of transitional boundary la ers at high free-stream turbulence intensity and implications for RANS modeling, J. Turbomacl (2007), pp. 129–311.Google Scholar
[34] Chien, K. Y., Prediction of channel and boundary flows with a low-Reynolds-number turbulen model, AIAA J., 20 (1982), pp. 33–38.Google Scholar
[35] Menter, F. R., Two-equation eddy-viscosity turbulence models for engineering applications, AIA J., 32(8) (1994), pp. 1598–1605.Google Scholar
[36] Savill, A. M., Further progress in the turbulence modeling of by-pass transition, Eng. Turbulen Model. Experiments, 2 (1993), pp. 583–592.Google Scholar