Skip to main content
Log in

Three-dimensional aerodynamic structure of a tree shelterbelt: Definition, characterization and working models

  • Published:
Agroforestry Systems Aims and scope Submit manuscript

Abstract

In order to make recommendations to landowners with regard to the design and management of tree shelterbelts, it is necessary to understand and predict the wind flow patterns associated with shelterbelt structure. A structural description is a prerequisite for any prediction of wind flow. Optical porosity (percentage of open spaces on the side view of a shelterbelt) has been used as a structural descriptor of a shelterbelt; however, it is a 2-dimensional measure unable to fully represent the aerodynamic influence of a tree shelterbelt. Based on numerous studies observing the wind fields associated with shelterbelt structure, the overall aerodynamic structure of a tree shelterbelt in three dimensions is defined by its external structural characteristics (length, height, width, and crosssectional shape) and by its internal structural components (amounts and arrangements of vegetative surface area and volume, and geometric shape of individual vegetative elements). In order to associate the defined structure with wind speed, turbulent stress, and pressure, it is characterized using two structural descriptors the spatial functions of vegetative surface area density (vegetative surface area per unit canopy volume) and cubic density (vegetative volume per unit canopy volume). For field estimation, the two structural descriptors are expressed in three dimensions using two working models in terms of 1- or 2- dimensional sub-functions capable of being defined with field measurements. This paper discusses the rationale behind the definition, characterization, and working models for the 3-dimensional aerodynamic structure of a tree shelterbelt.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  • A. Bean R.W. Alperi C.A. Federer (1975) ArticleTitleA method for categorizing shelterbelt porosity Agric Meteorol 14 417–429

    Google Scholar 

  • J.R. Brandle L. Hodges B. Wight (2000) Windbreak practices H.E. Garrett W.J. Rietveld R.F. Fisher (Eds) North American Agroforestry: An Integrated Science and Practice American Society of Agronomy Inc Madison 79–118

    Google Scholar 

  • J.M. Carbon (1960) ArticleTitleThe dependence of the shelter effect of shelterbelts on their structure Fifth World Forestry Congress Proceedings 3 1662–1664

    Google Scholar 

  • Cao S.S., Lei Q.D. and Jiang F.Q. (1981a). Field determinations of the optimum porosity and cross-sectional shape of a shelterbelt. Bulletin of the Institute of Forestry and Pedology, Academia Sinica, Science Press, Beijing 5: 9–19. (In Chinese with French abstract)

  • Cao S.S., Yie S.S. and Zhu J.W.(1981b). Establishment and effectiveness of Pinus tabulaeformis shelterbelts. Bulletin of the Institute of Forestry and Pedology, Academia Sinica, Science Press, Beijing .5:1-8. (In Chinese with French abstract)

  • Fu M.H., Jiang F.Q. and Yang R.Y. (1992). Study on porosity of poplar shelterbelts and its application in belts tending felling. In:Jiang F.Q. (ed.), Theory and Technology for Shelterbelt Management, Forestry Press of China, Beijing, pp. 102-108. (in Chinese with English abstract)

  • J. Gandemer (1979) ArticleTitleWind shelters J Ind Aerodyn. 4 371–389

    Google Scholar 

  • E.J. George D. Broberg E.L. Worthington (1963) ArticleTitleInfluence of various types of field windbreaks on reducing wind velocities and depositing snow J For. 61 345–349

    Google Scholar 

  • R.W. Gloyne (1955) ArticleTitleSome effects of shelter-belts and wind-breaks Meteorol Mag. 84 272–281

    Google Scholar 

  • G. Gross (1987) ArticleTitleA numerical study of the air flow within and around a single tree Boundary-Layer Meteorol. 40 311–327

    Google Scholar 

  • G.M. Heisler D.R. DeWalle (1988) ArticleTitleEffects of windbreak structure on wind flow Agric Ecosystems Environ. 22 IssueID23 41–69

    Google Scholar 

  • Jensen M. 1954. Shelter Effect: Investigations into the Aerodynamics of Shelter and its Effects on Climate and Crops. The Danish Technical Press, Copenhagen, Denmark, 264 pp.

  • M.J. Judd M.R. Raupach J.J. Finnigan (1996) ArticleTitleA wind tunnel study of turbulent flow around single and multiple windbreaks, part I: Velocity fields Boundary-Layer Meteorol. 80 127–165

    Google Scholar 

  • J. Kozeny (1927) ArticleTitleÜber kapillare Leitung des Wassers im Boden (Aufstieg, Versicherung, und Anwendung auf die Bewässerung) Sber Akad Wiss Wien (Abt. IIa). 136 271–306

    Google Scholar 

  • X. Lee (2000) ArticleTitleAir motion within and above forest vegetation in non-ideal conditions For Ecol Manage. 135 3–18

    Google Scholar 

  • A.E. Loeffler A.M. Gordon T.J. Gillespie (1992) ArticleTitleOptical porosity and windspeed reduction by coniferous windbreaks in Southern Ontario Agrofor Syst. 17 119–133

    Google Scholar 

  • D.R. Miller N.J. Rosenberg W.T. Bagley (1975) ArticleTitleWind reduction by a highly permeable tree shelterbelt Agric Meteorol. 14 321–333

    Google Scholar 

  • M.D.A.E.S. Perera (1981) ArticleTitleShelter behind two-dimensional solid and porous fences J Wind Eng Ind Aerodyn. 8 93–104

    Google Scholar 

  • E.J. Plate (1971) ArticleTitleThe aerodynamics of shelter belts Agric Meteorol. 8 203–222

    Google Scholar 

  • A.E. Scheidegger (1974) The Physics of Flow through Porous Media EditionNumber3 University of Toronto Press Toronto

    Google Scholar 

  • R.A. Schmidt R.L. Jairell J.R. Brandle E.S. Takle I.V. Litvina (1995) Windbreak shelter as a function of wind direction. The Ninth Symposium on Meteorological Observations & Instrumentation The American Meteorological Society Boston

    Google Scholar 

  • R.C. Schwartz D.W. Fryrear B.L. Harris J.D. Bilbro A.S.R. Juo (1995) ArticleTitleMean flow and shear stress distributions as influenced by vegetative windbreak structure Agric For Meteorol. 75 1–22

    Google Scholar 

  • Stoeckeler J.H. (1962). Shelterbelt Influence on Great Plains Field Environment and Crops. USDA Forest Service, Production Research Report No. 62, 26 pp.

  • J.W. Sturrock (1969) ArticleTitleAerodynamic studies of shelterbelts in New Zealand-1:low to medium height shelterbelts in Mid-Canterbury. New Zealand J Sci 12 754–776

    Google Scholar 

  • J.W. Sturrock (1972) ArticleTitleAerodynamic studies of shelterbelts in New Zealand-2: Medium-height to tall shelterbelts in Mid Canterbury New Zealand J Sci. 15 113–140

    Google Scholar 

  • R.D. Tabler D.L. Veal (1971) ArticleTitleEffect of snow fence height on wind speed Bulletin of the International Association of Scientific Hydrology 16 49–56

    Google Scholar 

  • H. Takahashi (1978) ArticleTitleWind tunnel test on the effect of width of windbreaks on the wind speed distribution in leeward J Agr Met. 33 183–187

    Google Scholar 

  • Takle E.S., Falk M.J., Zhou X.H. and Brandle J.R. (2003). Calibration and applications of a shelterbelt turbulent flow model. In: Ruck B., Kottmeier C., Mattheck C., Quine C. and Wilhelm G. (eds), Proceedings of the International Conference on Wind Effects on Trees. Institute of Hydromechanics,. University of Karlsruhe, Germany, pp. 57–64

  • H. Wang E.S. Takle J.M. Shen (2001) ArticleTitleShelterbelts and windbreaks:Mathematical modeling and computer simulations of turbulent flows Annu Rev Fluid Mech. 33 549–586

    Google Scholar 

  • J.D. Wilson (1987) ArticleTitleOn the choice of a windbreak porosity profile Boundary-Layer Meteorol. 38 37–49

    Google Scholar 

  • N.R. Wilson R.H. Shaw (1977) ArticleTitleA higher order closure model for canopy flow J Applied Meteorol. 16 1197–1205

    Google Scholar 

  • N.P. Woodruff A.W. Zingg (1952) ArticleTitleWind-Tunnel Studies of Fundamental Problems Related to Windbreaks USDA Soil Conservation Service SCS-TP-112 25

    Google Scholar 

  • N.P. Woodruff A.W. Zingg (1953) ArticleTitleWind tunnel studies of shelterbelt models J. For 51 173–178

    Google Scholar 

  • N.P. Woodruff D.W. Fryrear L. Lyles (1963) ArticleTitleReducing Wind Velocity with Field Shelterbelts USDA Agricultural Research Service 131 26

    Google Scholar 

  • K.F. Xiang X.H. Zhou (1990) The effect of protective forest for pasture: Aerodynamics, thermodynamics and hydrology K.F. Xiang J.C. Shi N.W. Baer J.W. Sturrock (Eds) Protective Plantation Technology. Publishing House of Northeast Forestry University Harbin 238–245

    Google Scholar 

  • H. Zhang J.R. Brandle G.E. Meyer L. Hodges (1995) ArticleTitleThe relationship between open windspeed and windspeed reduction in shelter Agrofor Syst. 32 297–311

    Google Scholar 

  • Zhou X.H., Brandle J.R., Takle E.S. and Mize C.W. (2004). Relationship of three-dimensional structure to shelterbelt function: A theoretical hypothesis. J. Crop. Production. (In press)

  • X.H. Zhou J.R. Brandle E.S. Takle C.W. Mize (2002) ArticleTitleEstimation of the three-dimensional aerodynamic structure of a green ash shelterbelt Agric For Meteorol. 111 93–108

    Google Scholar 

  • Zhu T.Y. 1981. Wind tunnel observations on the aerodynamic in- fluences of a shelterbelt. Bulletin of the Institute of Forestry and Pedology, Academia Sinica, Science Press, Beijing 5: 29–46. In Chinese with French abstract.

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to X. H. Zhou.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhou, X.H., Brandle, J.R., Mize, C.W. et al. Three-dimensional aerodynamic structure of a tree shelterbelt: Definition, characterization and working models. Agroforest Syst 63, 133–147 (2005). https://doi.org/10.1007/s10457-004-3147-5

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10457-004-3147-5

Keywords

Navigation