Experimental Investigation of the Flow Over Single and Successive Hills on Smooth and Rough Walls

  • M. BelmahdiEmail author
  • R. Zegadi
  • S. Simoëns
  • S. Bouharati


This paper describes a laboratory study of the behavior of turbulent boundary layers in the presence of two-dimensional hills. Flow measurements of the developing turbulent boundary layer on a single hill and on two successive hills are performed in a wind tunnel. The mean and turbulent velocities are measured by PIV anemometry. The results provide a detailed description of the inner layers upstream and above the hills in the separation recirculation zones. The deduced mean and fluctuating velocity fields are compared for the flow in the presence of a single hill and two successive hills located on smooth and rough walls.


PIV two-dimensional hill recirculation turbulence 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    P. Jackson and J. Hunt, “Turbulent Wind Flow over a Low Hill,” Quart. J. Roy. Meteorol. Soc. 101, 929–955 (1975).ADSCrossRefGoogle Scholar
  2. 2.
    P. Mason and J. King, “Measurements and Predictions of Flow and Turbulence over an Isolated Hill of Moderate Slope,” Quart. J. Roy. Meteorol. Soc. 111, 617–640 (1985).ADSCrossRefGoogle Scholar
  3. 3.
    D. Deaves, “Computations of Wind Flow over Two-Dimensional Hills and Embankments,” J. Wind Eng. Indust. Aerodynamics 6, 89–111 (1980).CrossRefGoogle Scholar
  4. 4.
    P. Carpenter and N. Locke, “Investigation of Wind Speeds over Multiple Two-Dimensional Hills,” J. Wind Eng. Indust. Aerodynamics 83, 109–120 (1999).CrossRefGoogle Scholar
  5. 5.
    S. Cao and T. Tamura, “Experimental Study on Roughness Effects on Turbulent Boundary Layer Flow over a Two-Dimensional Steep Hill,” J. Wind Eng. Indust. Aerodynamics 94, 1–19 (2006).CrossRefGoogle Scholar
  6. 6.
    G. Almeida, D. Durao, and M. Heitor, “Wake Flows Behind Two-Dimensional Model Hills,” Experiment. Thermal Fluid Sci. 7, 87–101 (1993).ADSCrossRefGoogle Scholar
  7. 7.
    C. Rapp and M. Manhart, “Flow over Periodic Hills: An Experimental Study,” Exp. Fluids 51, 247–269 (2011).CrossRefGoogle Scholar
  8. 8.
    J. Y. Vinçont, S. Simoëns, M. Ayrault, and J. Wallace, “Passive Scalar Dispersion in a Turbulent Boundary Layer from a Line Source at the Wall and Downstream of an Obstacle,” J. Fluid Mech. 424, 127–167 (2000).ADSCrossRefzbMATHGoogle Scholar
  9. 9.
    S. Simoëns, S. Saleh, C. Leribault, et al., “Influence of Gaussian Hill on Concentration of Solid Particles in Suspension Inside Turbulent Boundary Layer,” Procedia IUTAM 17, 110–118 (2015).CrossRefGoogle Scholar
  10. 10.
    Q. Li, T. Maeda, Y. Kamada, and K. Yamada, “Experimental Investigation of Flow over Two-Dimensional Multiple Hill Models,” Sci. Total Environment. 609, 1075–1084 (2017).ADSCrossRefGoogle Scholar
  11. 11.
    S. Cao and T. Tamura, “Effects of Roughness Blocks on Atmospheric Boundary Layer Flow over a Two-Dimensional Low Hill with/without Sudden Roughness Change,” J. Wind Eng. Indust. Aerodynamics 95, 679–695 (2007).CrossRefGoogle Scholar
  12. 12.
    J. C. Kaimal, Atmospheric Boundary Layer Flows: Their Structure and Measurement, Ed. by J. C. Kaimal and J. J. Finnigan (Oxford Univ. Press, Oxford, 1994).Google Scholar
  13. 13.
    A. Ferreira, M. Silva, D. Viegas, and A. Lopes, “Wind Tunnel Simulation of the Flow Around Two-Dimensional Hills,” J. Wind Eng. Indust. Aerodynamics 38, 109–122 (1991).CrossRefGoogle Scholar
  14. 14.
    H. M. Morris, “Flow in Rough Conduits,” Trans. ASME 120, 373–398 (1955).Google Scholar

Copyright information

© Pleiades Publishing, Inc. 2018

Authors and Affiliations

  • M. Belmahdi
    • 1
    Email author
  • R. Zegadi
    • 1
  • S. Simoëns
    • 2
  • S. Bouharati
    • 3
  1. 1.Laboratory of Applied Precision Mechanics, Optic and Precision Mechanics InstituteSetif 1 UniversityAlgeriaAlgeria
  2. 2.Fluid Mechanics and Acoustic LaboratoryNational Center for Scientific ResearchLyonFrance
  3. 3.Laboratory of Intelligent SystemsSetif 1 UniversityAlgeriaAlgeria

Personalised recommendations