Abstract
Manipulation of turbulence within an atmospheric boundary layer flow by application of woven wire mesh fences is investigated. Turbulence properties behind fences of different porosities and mesh opening widths were determined from velocity measurements in a wind tunnel. It is found that with the application of a fence with a porosity of 0.46, the streamwise turbulence intensity can be reduced from the inflow level of 12.5%–8.8% and the integral length scale can be reduced from 380 to 270 mm. The results show that behind the mesh fences turbulence kinetic energy decays as a power law function of the downstream distance for all wire mesh fences tested in the wind tunnel. The decay rate of turbulence kinetic energy is faster, and a larger reduction in the integral length scale is achieved for fences with porosities between 0.46 and 0.64 compared to higher porosities of between 0.73 and 0.75. Porosity of the woven wire meshes is found to be the key parameter which influences their turbulence reduction performance. In the end, application of the wire mesh fences for reduction of wind loads on solar panels and heliostats is discussed. Evaluation of wind loads based on the reduction of turbulence intensity and integral length scale shows that up to 48% and 53% reduction in peak drag and lift forces on a heliostat, respectively, can be achieved with application of mesh fences.
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Abbreviations
- \(A\) :
-
Panel area (m2)
- \(C_{D} ,C_{L}\) :
-
Drag and lift force coefficients
- \(C_{\varepsilon }\) :
-
Dissipation coefficient
- \(d\) :
-
Wire diameter (mm)
- \(f\) :
-
Frequency (Hz)
- \(F_{D} ,F_{L}\) :
-
Drag and lift forces (N)
- \(H\) :
-
Height of fence (m)
- \(I_{u} ,I_{v} ,I_{w}\) :
-
Streamwise, lateral and vertical turbulence intensities (%)
- \(k\) :
-
Turbulent kinetic energy (J/kg)
- \(L_{u}^{x} ,L_{w}^{x}\) :
-
Longitudinal and vertical integral length scales (m)
- \(M\) :
-
Mesh opening width (mm)
- \({\text{Re}}_{d}\) :
-
Reynolds number based on wire diameter
- \(S_{uu} ,S_{ww}\) :
-
Power spectral density of the streamwise and vertical velocity fluctuations (m2/s)
- \(u, v, w\) :
-
Absolute velocity components in the \(x - , y - , z -\) flow directions, respectively (m/s)
- \(u^{\prime}\) :
-
Root mean square of streamwise velocity fluctuations (m/s)
- \(U\) :
-
Time averaged mean streamwise velocity (m/s)
- \(U_{\infty }\) :
-
Free-stream velocity (m/s)
- \(x, y, z\) :
-
Distance in the streamwise, lateral and vertical directions (m
- \(\alpha , \beta\) :
-
Power law exponents of turbulence decay rate
- \(\delta\) :
-
Boundary layer thickness (m)
- \(\epsilon\) :
-
Dissipation rate of turbulent kinetic energy (m2/s3)
- \(\rho\) :
-
Density (kg/m3)
- \(\sigma_{u} ,\sigma_{u} ,\sigma_{w}\) :
-
Standard deviation of streamwise, lateral and vertical velocity components (m/s)
- \(\phi\) :
-
Fence porosity
References
Aubrun S, Loyer S, Hancock PE, Hayden P (2013) Wind turbine wake properties: comparison between a non-rotating simplified wind turbine model and a rotating model. J Wind Eng Ind Aerodyn 120:1–8
Basnet K, Constantinescu G (2017) The structure of turbulent flow around vertical plates containing holes and attached to a channel bed. Phys Fluids 29:115101
Bogdan O, Cretu D (2019) Wind load design of photovoltaic power plants by comparison of design codes and wind tunnel tests. Math Model Civ Eng 15:13–27
Bos WJ (2019) Grid turbulence near the grid. HAL Archives-ouvertes, hal-02063500
Burattini P, Lavoie P, Antonia RA (2005) On the normalized turbulent energy dissipation rate. Phys Fluids 17:098103
Camp EH, Cal RB (2016) Mean kinetic energy transport and event classification in a model wind turbine array versus an array of porous disks: energy budget and octant analysis. Phys Rev Fluids 1:044404
Camp EH, Cal RB (2019) Low-dimensional representations and anisotropy of model rotor versus porous disk wind turbine arrays. Phys Rev Fluids 4:024610
De Paepe W, Pindado S, Bram S, Contino F (2016) Simplified elements for wind-tunnel measurements with type-iii-terrain atmospheric boundary layer. Measurement 91:590–600
Dong Z, Luo W, Qian G, Wang H (2007) A wind tunnel simulation of the mean velocity fields behind upright porous fences. Agric For Meteorol 146:82–93
Dong Z, Luo W, Qian G, Lu P, Wang H (2010) A wind tunnel simulation of the turbulence fields behind upright porous wind fences. J Arid Environ 74:193–207
Emes MJ, Arjomandi M, Nathan GJ (2015) Effect of heliostat design wind speed on the levelised cost of electricity from concentrating solar thermal power tower plants. Sol Energy 115:441–451
Emes MJ, Arjomandi M, Ghanadi F, Kelso RM (2017) Effect of turbulence characteristics in the atmospheric surface layer on the peak wind loads on heliostats in stow position. Sol Energy 157:284–297
Emes MJ, Jafari A, Ghanadi F, Arjomandi M (2019) Hinge and overturning moments due to unsteady heliostat pressure distributions in a turbulent atmospheric boundary layer. Sol Energy 193:604–617
Emes MJ, Jafari A, Coventry J, Arjomandi M (2020) The influence of atmospheric boundary layer turbulence on the design wind loads and cost of heliostats. Sol Energy 207:796–812
ESDU85020 (2010) Characteristics of atmospheric turbulence near the ground—part ii: single point data for strong winds (neutral atmosphere). Engineering Sciences Data Unit
España G, Aubrun S, Loyer S, Devinant P (2012) Wind tunnel study of the wake meandering downstream of a modelled wind turbine as an effect of large scale turbulent eddies. J Wind Eng Ind Aerodyn 101:24–33
García ET, Ogueta-Gutiérrez M, Ávila S, Franchini S, Herrera E, Meseguer J (2014) On the effects of windbreaks on the aerodynamic loads over parabolic solar troughs. Appl Energy 115:293–300
Glick A, Ali N, Bossuyt J, Recktenwald G, Calaf M, Cal RB (2020a) Infinite photovoltaic solar arrays: considering flux of momentum and heat transfer. Renew Energy 156:791–803
Glick A, Smith SE, Ali N, Bossuyt J, Recktenwald G, Calaf M, Cal RB (2020b) Influence of flow direction and turbulence intensity on heat transfer of utility-scale photovoltaic solar farms. Sol Energy 207:173–182
Gomes-Fernandes R, Ganapathisubramani B, Vassilicos JC (2012) Particle image velocimetry study of fractal-generated turbulence. J Fluid Mech 711:306–336
Groth J, Johansson AV (1988) Turbulence reduction by screens. J Fluid Mech 197:139–155
Hearst RJ, Lavoie P (2014) Decay of turbulence generated by a square-fractal-element grid. J Fluid Mech 741:567–584
Hurst D, Vassilicos JC (2007) Scalings and decay of fractal-generated turbulence. Phys Fluids 19:035103
Irps T, Kanjirakkad V (2016) On the interaction between turbulence grids and boundary layers. EPJ Web Conf 114:02048
Iyengar AKS, Farell C (2001) Experimental issues in atmospheric boundary layer simulations: roughness length and integral length scale determination. J Wind Eng Ind Aerodyn 89:1059–1080
Jafari A, Ghanadi F, Emes MJ, Arjomandi M, Cazzolato BS (2018) Effect of free-stream turbulence on the drag force on a flat plate. In: 21st Australasian fluid mechanics conference. Adelaide, Australia
Jafari A, Ghanadi F, Arjomandi M, Emes MJ, Cazzolato BS (2019) Correlating turbulence intensity and length scale with the unsteady lift force on flat plates in an atmospheric boundary layer flow. J Wind Eng Ind Aerodyn 189:218–230
Keylock CJ, Nishimura K, Nemoto M, Ito Y (2012) The flow structure in the wake of a fractal fence and the absence of an “inertial regime.” Environ Fluid Mech 12:227–250
Kim H-B, Lee S-J (2001) Hole diameter effect on flow characteristics of wake behind porous fences having the same porosity. Fluid Dyn Res 28:449–464
Kolb GJ, Ho CK, Mancini TR, Gary JA (2011) Power tower technology roadmap and cost reduction plan. SAND2011-2419, Sandia National Laboratories
Kozmar H (2011) Truncated vortex generators for part-depth wind-tunnel simulations of the atmospheric boundary layer flow. J Wind Eng Ind Aerodyn 99(2–3):130–136
Kurian T, Fransson JHM (2009) Grid-generated turbulence revisited. Fluid Dyn Res 41:021403
Lavoie P, Burattini P, Djenidi L, Antonia RA (2005) Effect of initial conditions on decaying grid turbulence at low rλ. Exp Fluids 39:865–874
Laws E, Livesey J (1978) Flow through screens. Annu Rev Fluid Mech 10:247–266
Lee S-J, Kim H-B (1999) Laboratory measurements of velocity and turbulence field behind porous fences. J Wind Eng Ind Aerodyn 80:311–326
Li B, Sherman DJ (2015) Aerodynamics and morphodynamics of sand fences: a review. Aeol Res 17:33–48
Loehrke RI, Nagib HM (1972) Experiments on management of free-stream turbulence. Technical report AGARD report no. 598
Mayer MJ, Gróf G (2020) Techno-economic optimization of grid-connected, ground-mounted photovoltaic power plants by genetic algorithm based on a comprehensive mathematical model. Sol Energy 202:210–226
Peterka JA, Derickson RG (1992) Wind load design methods for ground-based heliostats and parabolic dish collectors. Technical Report for Sandia Laboratories.
Peterka JA, Bienkiewicz B, Hosoya N, Cermak JE (1987a) Heliostat mean wind load reduction. Energy 12:261–267
Peterka JA, Tan L, Bienkiewcz B, Cermak JE (1987b) Mean and peak wind load reduction on heliostats. Technical Report for Colorado State University
Peterka JA, Tan Z, Cermak JE, Bienkiewicz B (1989) Mean and peak wind loads on heliostats. J SolEnergy Eng 111:158–164
Pfahl A (2018) Wind loads on heliostats and photovoltaic trackers. Technische Universiteit Eindhoven
Pfahl A, Coventry J, Röger M, Wolfertstetter F, Vásquez-Arango JF, Gross F, Arjomandi M, Schwarzbözl P, Geiger M, Liedke P (2017) Progress in heliostat development. Sol Energy 152:3–37
Pratt RN, Kopp GA (2013) Velocity measurements around low-profile, tilted, solar arrays mounted on large flat-roofs, for wall normal wind directions. J Wind Eng Ind Aerodyn 123:226–238
Raine JK, Stevenson DC (1977) Wind protection by model fences in a simulated atmospheric boundary layer. J Wind Eng Ind Aerodyn 2:159–180
Richardson GM (1989) A permeable windbreak: Its effect on the structure of the natural wind. J Wind Eng Ind Aerodyn 32:101–110
Rodríguez-López E, Bruce PJK, Buxton ORH (2017) Flow characteristics and scaling past highly porous wall-mounted fences. Phys Fluids 29:075106
Seoud RE, Vassilicos JC (2007) Dissipation and decay of fractal-generated turbulence. Phys Fluids 19:105108
Shiau B-S (1998) Measurement of turbulence characteristics for flow past porous windscreen. J Wind Eng Ind Aerodyn 74–76:521–530
Sreenivasan KR (1984) On the scaling of the turbulence energy dissipation rate. Phys Fluids 27:1048–1051
Sun H, Gong B, Yao Q (2014) A review of wind loads on heliostats and trough collectors. Renew Sustain Energy Rev 32:206–221
Tadie M, Hemmati A, Lange C, Fleck B (2019) Performance of turbulence models in simulating wind loads on photovoltaics modules. Energies 12:3290
Tan-Atichat J, Nagib HM, Loehrke RI (1982) Interaction of free-stream turbulence with screens and grids: a balance between turbulence scales. J Fluid Mech 114:501–528
Thormann A, Meneveau C (2014) Decay of homogeneous, nearly isotropic turbulence behind active fractal grids. Phys Fluids 26:025112
Tobin N, Chamorro LP (2017) Windbreak effects within infinite wind farms. Energies 10:1140
Tobin N, Hamed AM, Chamorro LP (2017) Fractional flow speed-up from porous windbreaks for enhanced wind-turbine power. Bound Layer Meteorol 163:253–271
Tsukahara T, Sakamoto Y, Aoshima D, Yamamoto M, Kawaguchi Y (2012) Visualization and laser measurements on the flow field and sand movement on sand dunes with porous fences. Exp Fluids 52:877–890
Valente PC, Vassilicos JC (2015) The energy cascade in grid-generated non-equilibrium decaying turbulence. Phys Fluids 27:045103
Vassilicos JC (2015) Dissipation in turbulent flows. Annu Rev Fluid Mech 47:95–114
Watanabe T, Nagata K (2018) Integral invariants and decay of temporally developing grid turbulence. Phys Fluids 30:105111
Acknowledgements
Financial support for the project has been provided by the Australian Government Research Training Program, the University of Adelaide Scholarship and the Australian Renewable Energy Agency (ARENA) through Australian Solar Thermal Research Initiative (ASTRI). The authors would like to acknowledge the School of Mechanical Engineering and the workshops at the University of Adelaide.
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Jafari, A., Emes, M., Cazzolato, B. et al. Wire mesh fences for manipulation of turbulence energy spectrum. Exp Fluids 62, 30 (2021). https://doi.org/10.1007/s00348-021-03133-7
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