Analytical solution of equation relating maximum size of floating particle and its hydrophobicity
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4-28-1 Minami-Sakasai, Kashiwa-shi
Wrocław University of Technology
Publication date: 2011-01-01
Corresponding author
Jan Drzymala   

Wrocław University of Technology, Wybrzeze Wyspianskiego 27, 50-370 Wroclaw, Poland
Physicochem. Probl. Miner. Process. 2011;46(1):13-20
An analytical form of the equation relating particle hydrophobicity, expressed as the so-called contact angle, and the maximum size of spherical particle able to float with a bubble is presented. The starting equation, which is based on the balance of forces operating at the moment of particle detachment from a bubble, can be solved only numerically. In this paper the third-degree polynomial equation is transformed into an analytical trigonometric function. Although there are several roots of the equation, practically only one is valid for the detachment contact angle calculation.
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