Theoretical grounds of the Kasten formula

Viktor G. Oshlakov

doi:10.1117/12.497276

28 March 2003 Theoretical grounds of the Kasten formula

Viktor G. Oshlakov

Proceedings Volume 5027, Ninth Joint International Symposium on Atmospheric and Ocean Optics/Atmospheric Physics. Part II: Laser Sensing and Atmospheric Physics; (2003) https://doi.org/10.1117/12.497276
Event: Ninth Joint International symposium on Atmospheric and Ocean Optics, 2002, Tomsk, Russian Federation

Abstract

The experimental data provide support for the conclusion that the atmosphere and aerosol particle form a linear dynamic system. The behavior of aerosol particle in the coordinates: the logarithm of undersaturation coefficient of water vapor and the logarithm of the relation of the equilibrium particle size to the dehydrated particle size is given by the straight line segments. Each segment is characterized by its coefficient of condensation activity. Aerosol particle of chemically pure substances and sometimes the atmospheric aerosol particles are denoted in this plot by a straight line corresponding to the condensation activity coefficient, being equal to infinity. Now we denote the relative humidity corresponding to this segment as a specific point. The precipitation of water molecules on aerosol particle is due to a tendency of the surface to decrease its energy, i.e. to decrease the surface tension. With increasing the relative humidity from zero to the specific point the adsorption takes place, i.e. water molecules cover the particle surface with a monolayer. At the specific point the interphase surface tension of the particle-monolayer system becomes equal to zero, i.e., absorption begins. If in the atmosphere the relative humidity is supported, which is slightly less than the value of the specific point, during a long period of time, then the heat energy of atmospheric molecules is large enough for splitting a particle to small parts and for changing significantly the particle size distribution over a long period of time. In this case the reversible process of coagulation is very slow because the energy gain is low at the particle coalescence.

Citation Download Citation

Viktor G. Oshlakov "Theoretical grounds of the Kasten formula", Proc. SPIE 5027, Ninth Joint International Symposium on Atmospheric and Ocean Optics/Atmospheric Physics. Part II: Laser Sensing and Atmospheric Physics, (28 March 2003); https://doi.org/10.1117/12.497276

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available

Members: $17.00

Non-members: $21.00 ADD TO CART

PROCEEDINGS
7 PAGES

DOWNLOAD PAPER SAVE TO MY LIBRARY

GET CITATION

RIGHTS & PERMISSIONS

Get copyright permission Get copyright permission on Copyright Marketplace

KEYWORDS

Atmospheric particles

Aerosols

Molecules

Particles

Humidity

Differential equations

Dynamical systems

Show All Keywords

Keywords/Phrases

Search In:

Publication Years