Experimental Study of the Particles Influence on the Pyramid Wake within the Turbulent Boundary Layer

Document Type : Regular Article

Authors

1 Department of Process Equipment and Control Engineering, Hebei University of Technology, Tianjin, 300130, China

2 National-Local Joint Engineering Laboratory for Energy Conservation in Chemical Process Integration and Resources Utilization, School of Chemical Engineering, Hebei University of Technology, Tianjin, 300130, China

Abstract

Particle imaging velocimetry (PIV) was used to study the near-field variation of a pyramid rough element in clear water and a liquid–solid boundary layer (thickness: 60 mm). Particles with an average diameter of 355 µm and Stokes number of 4.3 were injected into a 1:1000 mass ratio (solid particles: water) liquid–solid two-phase solution. Experiments were conducted to collect instantaneous velocity field information in the streamwise–normal direction and streamwise–spanwise direction at a Reynolds number of 8350. Then, the average velocity field and turbulence intensity of the rough element wake under single-phase and two-phase conditions were compared, and the morphology and periodicity of the shedding structure were analyzed by using proper orthogonal decomposition (POD) combined with the power spectral density function (PSD). Particles were shown to have no significant impact on the recirculation area in the streamwise–spanwise plane but did result in a reduction of the recirculation zone in the streamwise–normal plane and a 0.2h closer location of the streamline's origin to the obstacle. Along with the weakening of the upwash structure, the particle phase diminishes the velocity gradient along the span direction and turbulence intensity. Structural shedding at the top of the pyramid and near the wall occurred simultaneously, and the same shedding period was maintained. Particularly, in the first two POD modes, the energy of the shedding structure near the wall was higher than that at the obstacle tip, with a maximum energy differential of approximately 6%. The Strouhal number of the shedding structure decreased by particles from 0.217 to 0.209. The concentration distribution and degree of dispersion in the particle-laden flow illustrate different results, with lower statistics in the wake flow field.

Keywords

References

Acarlar, M. S. and C. R. Smith (1987). A study of hairpin vortices in a laminar boundary layer. Part 2. Hairpin vortices generated by fluid injection. Journal of Fluid Mechanics 175, 43-83.##
AbuOmar, M. M. and R. J. Martinuzzi (2008). Vortical structures around a surface-mounted pyramid in a thin boundary layer. Journal of Wind Engineering and Industrial Aerodynamics 96(6-7), 769-778.##
Agui, J. H. and J. Andreopoulos (1992) Experimental investigation of a three-dimensional boundary layer flow in the vicinity of an upright wall mounted cylinder. Trans Asme 114(4), 566-576##
Bai, H. and M. M. Alam (2018). Dependence of square cylinder wake on Reynolds number. Physics of Fluids 30(1), 015102.##
Boivin, M., O. Simonin and K. D. Squires (1998). Direct numerical simulation of turbulence modulation by particles in isotropic turbulence. Journal of Fluid Mechanics 375, 235-263.##
Crowe, C. T., R. A. Gore and T. R. Troutt (1985). Particle dispersion by coherent structures in free shear flows. Particulate Science and Technology 3(3-4), 149-158.##
De Marchis, M., B. Milici and G. Sardina and E. Napoli (2016). Interaction between turbulent structures and particles in roughened channel. International Journal of Multiphase Flow 78, 117-131.##
Dezan, D. J., A. D. Rocha and L. O. Salviano (2020). Thermo-hydraulic optimization of a solar air heater duct with non-periodic rows of rectangular winglet pairs. Solar Energy 207, 1172-1190.##
Deyn, L. H., P. Forooghi, B. Frohnapfel, P. Schlatter, A. Hanifi and D. S. Henningson (2020). Direct numerical simulations of bypass transition over distributed roughness. AIAA Journal 58(2), 702-711.##
Donohoe, S. R. and W. J. Bannink (1997). Surface reflective visualizations of shock-wave/vortex interactions above a delta wing. AIAA Journal 35(10), 1568-1573.##
Dritselis, C. D. and N. S. Vlachos (2008). Numerical study of educed coherent structures in the near-wall region of a particle-laden channel flow. Physics of Fluids 20(5), 055103.##
Gao, T. D., J. Sun, W. Y. Chen, Y. Fan and Y. T. Zhang (2021). Experimental investigation on the effect of particles on large scale vortices of an isolated hemispherical roughness element. Physics of Fluids 33(6), 063308.##
Goswami, S. and A. Hemmati (2021). Evolution of turbulent pipe flow recovery over a square bar roughness element at a range of Reynolds numbers. Physics of Fluids 33(3), 035113.##
Hayakawa, K., A. J. Smits and S. M. Bogdonoff (1984). Turbulence measurements in a compressible reattaching shear layer. AIAA Journal 22(7), 889-895.##
Hetsroni, G. (1989). Particles-turbulence interaction. International Journal of Multiphase Flow 15(5), 735-746.##
El Hassan, M., J. Bourgeois and R. Martinuzzi (2015). Boundary layer effect on the vortex shedding of wall-mounted rectangular cylinder. Experiments in Fluids 56(2), 1-19.##
Hosseini, Z., R. J. Martinuzzi and B. R. Noack (2016). Modal energy flow analysis of a highly modulated wake behind a wall-mounted pyramid. Journal of Fluid Mechanics 798, 717-750.##
Jiang, H. (2021). Formation mechanism of a secondary vortex street in a cylinder wake. Journal of Fluid Mechanics 915.##
Kirkil, G. and G. Constantinescu (2012). A numerical study of the laminar necklace vortex system and its effect on the wake for a circular cylinder. Physics of Fluids 24(7), 073602.##
Konstantinidis, E., S. Balabani and M. Yianneskis (2007). Bimodal vortex shedding in a perturbed cylinder wake. Physics of Fluids 19(1), 011701.##
Léon, O., P. Reulet and F. Chedevergne (2020). Aerodynamic and heat transfer effects of distributed hemispherical roughness elements inducing step changes in a turbulent boundary layer. International Journal of Heat and Fluid Flow 85, 108672.##
Liu, X., H. Zhao, K. Luo and J. Fan (2016). Direct numerical simulation of turbulent boundary layer over hemispherical rough walls. International Journal of Multiphase Flow 83, 128-141.##
Luo, K., Q. Dai, X. Liu and J. Fan (2019). Effects of wall roughness on particle dynamics in a spatially developing turbulent boundary layer. International Journal of Multiphase Flow 111, 140-157.##
Martinuzzi, R. and C. Trop Ea (1993). The flow around surface-mounted prismatic obstacles placed in a fully developed channel flow. Journal of Fluids Engineer 115(1), 85-92.##
Martinuzzi, R. J. and M. AbuOmar (2003). Study of the flow around surface-mounted pyramids. Experiments in Fluids 34(3), 379-389.##
Martinuzzi, R., M. Abuomar and E. Savory (2007). Scaling of the wall pressure field around surface-mounted pyramids and other bluff bodies. Journal of Fluids Engineering 129(9), 1147.##
Martinuzzi, R. J. (2008). Dual vortex structure shedding from low aspect ratio, surface-mounted pyramids. Journal of Turbulence (9), N28.##
Padilla, M., I., F. Miró Miró and F. Pinna (2022). Influence of High-Temperature Effects on the Stability of the Wake Behind an Isolated Roughness Element in Hypersonic Flow. In IUTAM Laminar-Turbulent Transition 631-642##
Papangelou, A. (1992). Vortex shedding from slender cones at low Reynolds numbers. Journal of Fluid Mechanics 242, 299-321.##
Rashidi, M., G. Hetsroni and S. Banerjee (1990). Particle-turbulence interaction in a boundary layer. International Journal of Multiphase Flow 16(6), 935-949.##
Rastan, M. R., H. Shahbazi and A. Sohankar, M. M. Alam and Y. Zhou (2021). The wake of a wall-mounted rectangular cylinder: Cross-sectional aspect ratio effect. Journal of Wind Engineering and Industrial Aerodynamics 213, 104615.##
Richter, D. H. and P. P. Sullivan (2014). Modification of near-wall coherent structures by inertial particles. Physics of Fluids 26(10), 103304.##
Righetti, M. and G. P. Romano (2004). Particle–fluid interactions in a plane near-wall turbulent flow. Journal of Fluid Mechanics 505, 93-121.##
Saha, A. K. (2013). Unsteady flow past a finite square cylinder mounted on a wall at low Reynolds number. Computers & Fluids 88, 599-615.##
Schmidt, O. T. and T. Colonius (2020). Guide to spectral proper orthogonal decomposition. AIAA Journal 58(3), 1023-1033.##
Sohankar, A. (2006). Flow over a bluff body from moderate to high Reynolds numbers using large eddy simulation. Computers & Fluids 35(10), 1154-1168.##
Sohankar, A., M. K. Esfeh, H. Pourjafari, M. M. Alam and L. Wang (2017). Features of the flow over a finite length square prism on a wall at various incidence angles. Wind & Structures 26(5), 317-329.##
Squires, K. D. and J. K. Eaton (1990). Particle response and turbulence modification in isotropic turbulence. Physics of Fluids A: Fluid Dynamics 2(7), 1191-1203.##
Sumner, D., J. L. Heseltine and O. J. P. Dansereau (2004). Wake structure of a finite circular cylinder of small aspect ratio. Experiments in Fluids 37(5), 720-730.##
Vosper, S. B., I. P. Castro and W. H. Snyder and S. D. Mobbs (1999). Experimental studies of strongly stratified flow past three-dimensional orography. Journal of Fluid Mechanics 390, 223-249.##
Wang, H. F., Y. Zhou and C. K. Chan and K. S. Lam (2006) Effect of initial conditions on interaction between a boundary layer and a wall-mounted finite-length-cylinder wake. Physics of Fluids 18,065106.##
Wang, H. F. and Y. Zhou (2009). The finite-length square cylinder near wake. Journal of Fluid Mechanics 638, 453-490.##
Wang, J., W. Zhao, Z. Su and G. Zhang, P. Li and D. Yurchenko (2020). Enhancing vortex-induced vibrations of a cylinder with rod attachments for hydrokinetic power generation. Mechanical Systems and Signal Processing 145, 106912.##
Wang, M. Y., C. W. Yang, Z. L. Li, S. F. Zhao, Y. F. Zhang and Y. F. Lu (2021). Effects of surface roughness on the aerodynamic performance of a high subsonic compressor airfoil at low Reynolds number. Chinese Journal of Aeronautics 34(3), 71-81.##
Wille, R. (1974). Generation of oscillatory flows. Flow-Induced Structural Vibrations, 1-16.##
Yousif, M. Z. and H. Lim (2021). Improved delayed detached-eddy simulation and proper orthogonal decomposition analysis of turbulent wake behind a wall-mounted square cylinder. AIP Advances 11(4), 045011.##
Zhang, D., L. Cheng and H. An and M. Zhao (2017). Direct numerical simulation of flow around a surface-mounted finite square cylinder at low Reynolds numbers. Physics of Fluids 29(4), 045101.##

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History

  • Received: 04 June 2022
  • Revised: 30 July 2022
  • Accepted: 13 August 2022
  • Available online: 13 November 2022

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