Abstract
The influence of laminar-to-turbulence transition of the laminar separation bubble (LSB) on the dynamic stall process of a pitching foil was investigated using transition SST k-ω turbulence model. As the LSB moves to the leading edge, the strong strain rate produces a pronounced laminar-to-turbulence transition, resulting in a turbulent mixing, faster turbulent reattachment, and shrinkage of LSB. This transition leads to the enhancement of the friction coefficient after the reattachment point and delays the suction collapse and evolution of secondary vortex. A baseline SST k-ω model was also applied. Without the transition mechanism, the suction collapse occurs too early, and the downstroke relaminarization is absent. The oscillation of the downstroke lift curve is severer using the SST model than that using the transition SST model. This study extends the detailed validations of transition model and helps improve the understanding of the influence of the transition on the dynamic stall process.
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Abbreviations
- C :
-
Chord length
- C f :
-
Skin friction coefficient
- C N :
-
Normal force coefficient
- C P :
-
Pressure coefficient
- C p * :
-
Normalized pressure coefficient
- C P, min :
-
Minimum value of pressure coefficient
- D k :
-
Sink term of turbulent kinetic energy
- E Y :
-
Sink term of intermittency
- I :
-
Turbulence intensity
- k :
-
Turbulent kinetic energy
- k f :
-
Reduced frequency
- p :
-
Pressure
- P k :
-
Source terms of turbulent kinetic energy
- P t :
-
Turbulent production term
- P Y :
-
Source term of intermittency
- Re :
-
Reynolds number
- Re v :
-
Vorticity Reynolds number
- Re θ :
-
Momentum-thickness Reynolds number
- Re θc :
-
Critical momentum-thickness Reynolds number
- Re θt :
-
Transition onset momentum thickness Reynolds number
- Re θt :
-
Transition momentum-thickness Reynolds number
- R T :
-
Local eddy-to-laminar viscosity ratio
- S :
-
Magnitude of strain rate
- S ij :
-
Strain rate tensor
- t :
-
Time
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Acknowledgments
The present efforts are partially supported by the Ministry of Science and Technology in Taiwan, R.O.C. with project number 105-2221-E-110-040.
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Chien-Chou Tseng is an Associate Professor of the Department of Mechanical Engineering, National Cheng Kung University, Tainan, R.O.C. He received his Ph.D. from University of Michigan. His research interests in CFD and two-phase flow.
Ping-Ben Liu is a Ph.D. student of the Department of Mechanical and Electro-Mechanical Engineering, National Sun Yat-sen University, Kaohsiung, R.O.C. His research interests in CFD and fluid-structure interaction.
Sheng-Yen Hsu is an Associate Professor of the Department of Mechanical and Electro-Mechanical Engineering, National Sun Yat-sen University, Kaohsiung, R.O.C. He received his Ph.D. from Case Western Reserve University. His research interests in CFD and thermal fluids.
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Tseng, CC., Liu, PB. & Hsu, SY. Numerical investigations of dynamic stall characteristics with laminar-to-turbulence transition. J Mech Sci Technol 35, 3455–3468 (2021). https://doi.org/10.1007/s12206-021-0718-6
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DOI: https://doi.org/10.1007/s12206-021-0718-6