Clouds: Mixture of Air, Vapor and Liquid Water

  • Michel FrémondEmail author
Part of the Lecture Notes of the Unione Matematica Italiana book series (UMILN, volume 13)


Clouds are mixtures of air, vapor, liquid water and even of ice. For the sake of simplicity, we assume there is no ice phase. At each point of the mixture there is air and water either gaseous or liquid. Different indices are used: v for vapor, l for liquid, a for air, w for water. The clouds we see in the sky have a structure evolving with time. We think that the clouds cohesion results from local interactions: at a point x, the physical quantities, for instance, the velocities, the vapor content and liquid water content,.. do depend on their values in the neighbourhood of point x. A way to take into account these interactions is to introduce space derivatives which clearly depend on the neighbourhood values.


Free Energy Critical Temperature Liquid Water Liquid Water Content Internal Constraint 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Dipartimento di Ingegneria CivileUniversità di Roma “Tor Vergata”RomaItaly

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