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The scaling of flow in vegetative structures

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Abstract

A three-prong spruce twig was modeled as three independent circular cylinders as part of a wind tunnel study of the drag and wake characteristics of twigs in flow velocities ranging from 0.5 to 4.5 m s-1. Using this model, the wake structure and twig drag were explained and length scales describing the microscale wake turbulence were proposed.

Results indicate that the drag force on the twig is influenced by the two flow regimes within the range of velocities studied. The two flow regimes are separated by an apparent shift in the flow field evidenced by a rapid change in the drag coefficient at approximately 1.5 m s-1. For the low velocity regime (0.5 to 1.5 m s-1), the flow ‘sees’ a highly porous twig-cylinder with pores a function of the inter-needle spacing and a length scale related to the needle length. For the high velocity regime (1.5 to 4.5 m s-1), the flow ‘sees’ a twig-cylinder with low porosity and a dominant length scale related to the twig needle-tip to needle-tip diameter.

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Grant, R.H. The scaling of flow in vegetative structures. Boundary-Layer Meteorol 27, 171–184 (1983). https://doi.org/10.1007/BF00239613

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