particolato fisica ambientale 2 antonio ballarin denti [email protected]
TRANSCRIPT
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LE PARTICELLELE PARTICELLE
Volume fraction of aerosol particles in 4 quite different locationsVolume fraction of aerosol particles in 4 quite different locations
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Stages in the absorption of gaseous Stages in the absorption of gaseous SOSO22 ina raindrop ina raindrop
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Cattura di SO2 da parte di una goccia di Cattura di SO2 da parte di una goccia di pioggiapioggia
c (r > R, t = 0) = c∞
c (r→∞, t ) = c∞
c (R, t) = cs (t)=0
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r ≤ Rr ≤ R
r = 0, t > 0r = 0, t > 0
t > 0t > 0
r ≤ Rr ≤ R
c (r, t = 0) = 0
c (R, t) = cs
c (r, t→∞ ) = cs
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Cattura di SO2 da parte di una goccia di Cattura di SO2 da parte di una goccia di pioggiapioggia
Characteristic diffusion times in air and water for some drop sizesCharacteristic diffusion times in air and water for some drop sizes
τair
τdrop
2.5 × 10-2 2.5 × 10-4 2.5 × 10-6
102 10-21
R(m) 10-3(1 mm) 10-4 10-5 (10 μm)
DDgg = 10 = 10-5-5 m m2 2 ss-1-1 DDaa = 10 = 10-9-9 m m2 2 ss-1-1
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Fluxes at the interface air-water drop. Fluxes at the interface air-water drop. The interface may be considered flat at x = 0The interface may be considered flat at x = 0
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Cattura di SO2 da parte di una goccia di Cattura di SO2 da parte di una goccia di pioggiapioggia
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Derivation of Stokes’lawDerivation of Stokes’lawFluid is flowing from bottom to top with a non-slip Fluid is flowing from bottom to top with a non-slip condition at the surface. On the left one finds the condition at the surface. On the left one finds the
general coordinate system, on the right the forces at general coordinate system, on the right the forces at the surface of the sphere. The drag is determinated by the surface of the sphere. The drag is determinated by the components of the pressure force and tangential the components of the pressure force and tangential
force in the direction of the flow.force in the direction of the flow.
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LE PARTICELLELE PARTICELLEAttrito su una singola particellaAttrito su una singola particella