Details

Autor(en) / Beteiligte

• Zimnyakov, D.A.
• Zemlyanukhin, A.I.
• Yuvchenko, S.A.
• Bochkarev, A.V.
• Slavnetskov, I.O.
• Gavrilov, S.A.
• Tumachev, D.D.

Titel

Self-similarity of bubble size distributions in the aging metastable foams

Ist Teil von

• Physica. D, 2019-11, Vol.398, p.171-182

Ort / Verlag

Elsevier B.V

Erscheinungsjahr

2019

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• The quantitative approach to self-similar growth of gas bubbles in slowly evolving metastable liquid foams is provided using a solution to an evolution equation in the form of the non-linear Fokker–Planck equation. The obtained self-similar solution is compared to the experimental data obtained using the image analysis of liquid films at the container wall and the low-coherence reflectometry of foam samples. In addition, the modeled data are compared to the results of x-ray tomographic study of slowly aging foams, which were taken from the work of J. Lambert et al. The analyzed size distributions for surface film cells and bulk bubbles in the isolated samples of modeled liquid foams (Gillette shaving cream) allow for fitting with good accuracy using the self-similar solutions to the non-linear Fokker–Planck equation at the various aging times and various temperatures. The relationship between probability distributions for the normalized radii of the film cells and bulk bubbles is established. It is shown that the temperature-dependent rate factor of self-similar growth of the film cells and bulk bubbles can be considered in terms of the Arrhenius equation. •Bubble size statistics in evolving liquid foams is investigated.•Bubble size distributions converge to solutions to non-linear Fokker–Planck equation.•Relationship between size distributions for surface and bulk bubbles is established.•The rate factor of self-similar bubble growth obeys the Arrhenius law.