recently, nano bubbles applications are so interesting. What are the basic equations of nano bubble dynamics? and what are its current research problems? finally, if there are basic articles or text books talk about that topic, I'll be glad to read your answers?
Surface tension effects are so dominant at such very small diameters that you can treat nanobubbles as hard spheres. You can also consider heat and/or mass transfer so that the diameter changes over time.
As predicted by the famous lecture “There’s Plenty of Room at the Bottom” delivered by Richard P. Feynman at the 1959 annual meeting of the American Physical Society [1], modern nanotechnologies have enabled the fabrication of many micro-/nano-electro-mechanical systems (MEMS/NEMS) with unique attributes, such as small mass, little energy dissipation and high accuracy and sensitivity [2–9]. Motors, actuators, sensors, reactors, pumps, valves, turbines, engines, etc. at nanometer to micrometer scales have been developed in recent years. Many of these micro-/nanodevices involve fluid and energy transports which are quite different from those at macroscale. Understanding the physics of fluid flows at micro-/nanoscale is crucial to designing, fabricating, utilizing and optimizing these MEMS and NEMS devices.
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC2808004/
Also a file attached
You may consider the use of mathematical framework of porous media. I am quite sure that such framework is consistent with the suggestions of Dr. Dudley Benton. Nuclear magnetic resonance may add some nice dimensions to your research in this area. The following materials could be of help.
1. Micro- and Nanobubbles: Fundamentals and Applications by Hideki Tsuge
2. Subsurface Transport Behavior of Micro-Nano Bubbles
and Potential Applications for Groundwater Remediation
3. Monodispersed Nano-Bubbles Generated from Porous Glass Membrane and Bubble Size Control
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