Journal article

Modelling and interpreting the isotopic composition of water vapour in convective updrafts

Bolot M, Legras B, Moyer E ...see all

Atmospheric Chemistry and Physics, vol. 13, issue 16 (2013) pp. 7903-7935

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Abstract

The diffusional growth of a cloud particle (droplet or crystal) falling in the ambient air is influenced by its relative motion. The air flow around a particle depends on particle geometry and the Reynolds number. In all cases, the local gradients of heat and vapour are increased around the moving particle, and the diffusional growth rate and latent heat release rate are enhanced over their corresponding values at rest. The effect is measured by the ventilation coefficients for vapour and heat diffusion: f v = (dm/dt) (dm/dt) 0 , f h = (dQ/dt) (dQ/dt) 0 , where the subscript 0 refers to the situation when the particle is stationary relative to the air. Boundary layer theory predicts that f v and f h should be proportional to X v = Sc 1 3 Re 1 2 and X h = Pr 1 3 Re 1 2 , where Sc = µ/ρK v , Pr = c p µ/k h and Re = ρU ∞ D/µ are, respec-tively, the Schmidt, Prandtl and Reynolds numbers and µ is the dynamic viscosity. The functional dependency of f v on X v is the same as that of f h on X h since the underlying mathematical framework is the same. A Schmidt number for heavy isotopologue can be defined as Sc = η/ρK

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Authors

  • M. Bolot

  • B. Legras

  • E. J. Moyer

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