Skip to main content
SpringerLink
Log in

Numerical investigation on two-dimensional boundary layer flow with transition

  • Research Papers
  • Published:
Journal of Marine Science and Application Aims and scope Submit manuscript

Abstract

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • 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.

    Article  MATH  Google Scholar 

  • 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)

    Google Scholar 

  • 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.

    Article  Google Scholar 

  • 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.

    Article  Google Scholar 

  • Hackenberg PJ, Rioual L, Tutty OR (1995). The automatic control of boundary layer transition experiments and computation. Applied Scientific Research, 54(4), 293–311.

    Article  Google Scholar 

  • Jacobs RG, Durbin PA (2000). Simulations of bypass transition. Journal of Fluid Mechanics, 428, 185–212.

    Article  Google Scholar 

  • Klewicki J, Ebner R, Wu X (2011). Mean dynamics of transitional boundary-layer flow. Journal of Fluid Mechanics, 682, 617–651.

    Article  MATH  MathSciNet  Google Scholar 

  • Lee KH (2002). Control of boundary layer flow transition via distributed reduced-order controller. KSME International Journal, 16(12), 1561–1575.

    Google Scholar 

  • Levin O, Henningson DS (2003). Exponential vs algebraic growth and transition prediction in boundary layer flow. Flow, Turbulence and Combustion, 70, 183–210.

    Article  MATH  Google Scholar 

  • 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)

    Google Scholar 

  • 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.

    Article  MATH  Google Scholar 

  • Schlichting H (2003). Boundary-layer theory. 8th edtion. Springer, New York, USA, 272–273.

    Google Scholar 

  • Schubauer GB, Klebanoff PS (1955). Contributions on the mechanics of boundary-layer transition. NACA technical reports, No. 1289.

    Google Scholar 

  • 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.

    Article  MathSciNet  Google Scholar 

  • 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)

    Google Scholar 

  • 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.

    Article  MATH  Google Scholar 

  • 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)

    Google Scholar 

  • 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.

    Article  MATH  MathSciNet  Google Scholar 

  • Wilcox DC (1988). Reassessment of the scale determining equation for advanced turbulence models. American Institute of Aeronautics and Astronautics Journal, 26(11), 1299–1310.

    Article  MATH  MathSciNet  Google Scholar 

  • Wilcox DC (2006). Turbulence modeling for CFD. 3rd edition. DCW Industries, La Canada, CA, USA, 124–126.

    Google Scholar 

  • 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.

    Google Scholar 

  • 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)

    Google Scholar 

  • 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.

    Google Scholar 

  • 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.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Transportation Equipment and Ocean Engineering College, Dalian Maritime University, Dalian, 116026, China

    Yong Zhao & Tianlin Wang

  2. State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian, 116024, China

    Zhi Zong

  3. School of Naval Architecture, Dalian University of Technology, Dalian, 116024, China

    Zhi Zong

Authors
  1. Yong Zhao
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Tianlin Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Zhi Zong
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Zhi Zong.

Additional information

Foundation item: Supported by the National Natural Science Foundation of China (Nos. 51309040, 51379025), and the Fundamental Research Funds for the Central Universities (Nos. 3132014224, 3132014318).

Yong Zhao is a lecturer at Transportation Equipment and Ocean Engineering College, Dalian Maritime University. His research interests include ship hydrodynamics, turbulence models and numerical simulation based on wavelet method.

Tianlin Wang is a prefessor at Transportation Equipment and Ocean Engineering College, Dalian Maritime University. His research interests include hydrodynamics on underwater glider and computational fluid dynamics.

Zhi Zong is presently a professor and dean at School of Naval Architecture, Dalian University of Technology. He has been the principal investigator of a large variety of funded research work regarding the design and optimization of conventional and unconventional vessels. His research interests include hydrodynamics, underwater explosion and numerical methods in CFD, etc. His activities are documented by an extensive publication record of scientific papers, books, technical reports, and papers at international conferences (over 200 publications and two English monographs). He is the editorial advisory board member of several academic journals, including Journal of Hydrodynamics, Journal of Marine Science and Application and so on.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhao, Y., Wang, T. & Zong, Z. Numerical investigation on two-dimensional boundary layer flow with transition. J. Marine. Sci. Appl. 13, 388–393 (2014). https://doi.org/10.1007/s11804-014-1269-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11804-014-1269-3

Keywords

Search

Navigation