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 Yong Zhao,Tianlin Wang and Zhi Zong.Numerical Investigation on Two-dimensional Boundary Layer Flow with Transition[J].Journal of Marine Science and Application,2014,(4):388-393.[doi:10.1007/s11804-014-1269-3]
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Numerical Investigation on Two-dimensional Boundary Layer Flow with Transition


Numerical Investigation on Two-dimensional Boundary Layer Flow with Transition
Yong Zhao Tianlin Wang and Zhi Zong
Yong Zhao Tianlin Wang and Zhi Zong
1. Transportation Equipment and Ocean Engineering College, Dalian Maritime University, Dalian 116026, China2. State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, China3. School of Naval Architecture, Dalian University of Technology, Dalian 116024, China
transitional boundary layer flow Reynolds averaged numerical simulation (RANS) turbulence models low Reynolds correction Reynolds stress eddy viscosity
As a basic problem in many engineering applications, transition from laminar to turbulence still remains a difficult problem in computational fluid dynamics (CFD). A numerical study of one transitional flow in two-dimensional is conducted by Reynolds averaged numerical simulation (RANS) in this paper. Turbulence model plays a significant role in the complex flows’ simulation, and four advanced turbulence models are evaluated. Numerical solution of frictional resistance coefficient is compared with the measured one in the transitional zone, which indicates that Wilcox (2006) k-ω model with correction is the best candidate. Comparisons of numerical and analytical solutions for dimensionless velocity show that averaged streamwise dimensionless velocity profiles correct the shape rapidly in transitional region. Furthermore, turbulence quantities such as turbulence kinetic energy, eddy viscosity, and Reynolds stress are also studied, which are helpful to learn the transition’s behavior.


Biau D, Arnal D, Vermeersch O (2007). A transition prediction model for boundary layers subjected to free-stream turbulence. Aerospace Science and Technology, 11(5), 370-375.

Cao W (2009). A study of the transition prediction of hypersonic boundary layer on plane and wedge flow. Acta Aerodynamica Sinica, 27(5), 516-523. (in Chinese)
Chen JC, Chen WJ (2010). The complex nature of turbulence transition in boundary layer flow over a flat surface. International Journal of Emerging Multidisciplinary Fluid Sciences, 2(2),183-203.
Fan M, Cao W, Fang XJ (2011). Prediction of hypersonic boundary layer transition with variable specific heat on plane flow. Science China: Physics, Mechanics and Astronomy, 54(11), 2064-2070.
Hackenberg PJ, Rioual L, Tutty OR (1995). The automatic control of boundary layer transition experiments and computation. Applied Scientific Research, 54(4), 293-311.
Jacobs RG, Durbin PA (2000). Simulations of bypass transition. Journal of Fluid Mechanics, 428, 185-212.
Klewicki J, Ebner R, Wu X (2011). Mean dynamics of transitional boundary-layer flow. Journal of Fluid Mechanics, 682, 617-651.
Lee KH (2002). Control of boundary layer flow transition via distributed reduced-order controller. KSME International Journal, 16(12), 1561-1575.
Levin O, Henningson DS (2003). Exponential vs algebraic growth and transition prediction in boundary layer flow. Flow, Turbulence and Combustion, 70, 183-210.
Ma HD, Pan HL, Wang Q (2007). Study of flow transition process induced by oblique wave instability in a supersonic flat-plate boundary layer. Chinese Journal of Theoretical and Applied Mechanics, 39(2), 153-157. (in Chinese)
Saffman PG (1970). A model for inhomogeneous turbulent flow. Proceedings of the Royal Society of London, Series A: Mathematical and Physical Sciences, 317, 417-433.
Schlichting H (2003). Boundary-layer theory. 8th edtion. Springer, New York, USA, 272-273.
Schubauer GB, Klebanoff PS (1955). Contributions on the mechanics of boundary-layer transition. NACA technical reports, No. 1289.
Wang L, Fu S (2009a). Modelling flow transition in a hypersonic boundary layer with Reynolds-averaged Navier-Stokes approach. Science in China, Series G: Physics, Mechanics and Astronomy, 52(5), 768-774.
Wang L, Fu S (2009b). New transition/turbulence model for the flow transition in supersonic boundary layer. Chinese Journal of Theoretical and Applied Mechanics, 41(2), 162-168. (in Chinese)
Wang L, Fu S (2011). Development of an intermittency equation for the modeling of the supersonic/hypersonic boundary layer flow transition. Flow, Turbulence and Combustion, 87(1), 165-187.
Wang WX, Guo RW (2012). Study of flow characteristics of hypersonic inlet based on boundary layer transition. Acta Aeronautica et Astronautica Sinica, 33(10), 1772-1780. (in Chinese)
Wassermann P, Kloker M (2005). Transition mechanisms in a three-dimensional boundary-layer flow with pressure-gradient changeover. Journal of Fluid Mechanics, 530, 265-293.
Wilcox DC (1988). Reassessment of the scale determining equation for advanced turbulence models. American Institute of Aeronautics and Astronautics Journal, 26(11), 1299-1310.
Wilcox DC (2006). Turbulence modeling for CFD. 3rd edition. DCW Industries, La Canada, CA, USA, 124-126.
Wilcox DC, Alber IE (1972). A turbulence model for high speed flows. Proceedings of the Heat Transfer and Fluid Mechanics Institute, Northridge, California, USA, 231-252.
Xiao ZX, Chen HX, Li QB, Fu S (2006). A primary study of transitions in turbulence models. Chinese Journal of Computational Physics, 23(1), 61-65. (in Chinese)
Yang ZY (2012). Numerical study of transition process in a separated boundary layer on a flat plate with two different leading edges. WSEAS Transactions on Applied and Theoretical Mechanics, 7(1), 49-58.
Ye HX, Shen ZR, Wan DC (2012). Numerical prediction of added resistance and vertical ship motions in regular head waves. Journal of Marine Science and Application, 11(4), 410-416.


Supported by the National Natural Science Foundation of China (Nos. 51309040, 51379025), and the Fundamental Research Funds for the Central Universities (Nos. 3132014224, 3132014318).
Last Update: 2014-12-09