Curves of spreading (CU) of nanobubbles, calculated theoretically, illustrate the conditions when their spontaneous spreading on the particle surface is energetically possible, when not possible, and what you should do, in order to the impossible became possible, and the flotation of the particles was realized. CU are shown for substrates with extreme hydrophobicity (G), with maximum hydrophilicity (F) and with incomplete wettability (Nx), where x is the proportion of the area of contact of the bubble with the substrate which is partially covered by a monolayer of the ionic collector. It is shown that the energetically nanobubbles can adhere and spread even on substrates (F). Research the spontaneous spreadability of nanobubbles with a view to its practical application allows you to find ways to improve the effectiveness and efficiency of the froth flotation process.

Keywords

Сurves of spreading of nanobubbles, the principle of the calculation curves of spreading, the substrate with extreme hydrophobicity, the substrate with maximum hydrophilicity, the substrate with incomplete wettability, flotation.