A Simplified Model of Predicting SO2 Absorption by Single Atmospheric Raindrops with Chemical Dissociation and Internal Circulation

Упрощённая модель прогнозирования абсорбции SO₂ одиночными атмосферными дождевыми каплями с химической диссоциацией и внутренней циркуляцией
Wei‐Hsin Chen, Yuanyi Chen, Chen‐I Hung
2011-01-01

SO2 absorptionchemical dissociationinternal circulationmass diffusionsingle raindrops
A simplified model of predicting chemical SO2 absorption by single freely falling raindrops with internal circulation in the atmosphere is developed in the present study. By multiplying a modification factor α into the model of interfacial velocity established from creeping flow, it is found that the relative error between the simplified model and the two-phase simulation method is less than 4%. Accordingly, the simplified model enables us to simulate the atmospheric SO2 absorption process with less computational effort and without losing accuracy. The simulated results indicate that the dissociation of H2SO3 governs the mass transfer process and the concentration of HSO3− is by far larger than those of SO32− and H2SO3. As a result, the chemical absorption takes a much longer period of time to achieve the uptake process. Specifically, for the raindrop radius in the range of 200–500 μm, the absorption time of chemical absorption is larger than that of physical absorption by the factors of 70–290. From the perspective of characteristic time, mass diffusion is the controlling mechanism for SO2 absorption. When chemical absorption is carried out, the absorption period is 28–33 folds of the characteristic time of mass diffusion, implying that the former is always larger than the latter by over an order of magnitude.
1
A simplified SO2 absorption model for freely falling raindrops incorporates a correction factor α into creeping-flow interfacial velocity.
2
For raindrop radii of 200–500 μm, chemical absorption takes 70–290 times longer than physical absorption.
3
H2SO3 dissociation governs chemical mass transfer, and HSO3− concentrations greatly exceed those of SO32− and H2SO3.
4
Mass diffusion controls SO2 absorption; chemical absorption lasts 28–33 characteristic diffusion times, exceeding it by more than an order of magnitude.
5
The simplified model agrees with two-phase simulations within less than 4% relative error while requiring substantially less computational effort.

single freely falling atmospheric raindrops with internal circulation absorbing SO2

chemical SO2 absorption and mass-transfer behavior, including H2SO3 dissociation, species concentrations, absorption time, and diffusion control

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2011-01-01
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Wei‐Hsin Chen
Yuanyi Chen
Chen‐I Hung
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