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Article overview
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Critical scaling law for the deposition efficiency of inertia-driven particle collisions with a cylinder in high Reynolds number air flow | | Matthew R Turner
; Richard P Sear
; | | Date: |
3 Jan 2023 | | Abstract: | The Earth’s atmosphere is an aerosol, it contains suspended particles. When
air flows over an obstacle such as an aircraft wing or tree branch, these
particles may not follow the same paths as the air flowing around the obstacle.
Instead the particles in the air may deviate from the path of the air and so
collide with the surface of the obstacle. It is known that particle inertia can
drive this deposition, and that there is a critical value of this inertia,
below which no point particles deposit. Particle inertia is measured by the
Stokes number, St. We show that near the critical value of the Stokes number,
St$_c$, the amount of deposition has the unusual scaling law of
exp(-1/(St-St$_c$)$^{1/2}$). The scaling is controlled by the stagnation point
of the flow. This scaling is determined by the time for the particle to reach
the surface of the cylinder varying as 1/(St-St$_c$)$^{1/2}$, together with the
distance away from the stagnation point (perpendicular to the flow direction)
increasing exponentially with time. The scaling law applies to inviscid flow, a
model for flow at high Reynolds numbers. The unusual scaling means that the
amount of particles deposited increases only very slowly above the critical
Stokes number. This has consequences for applications ranging from rime
formation and fog harvesting to pollination. | | Source: | arXiv, 2301.01046 | | Services: | Forum | Review | PDF | Favorites | |
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