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A study of the fractal foam drainage model in a microgravity space
Author(s) -
Wang KangLe
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.7428
Subject(s) - fractal , drainage , mathematics , fractal derivative , work (physics) , inverse , surface tension , mathematical analysis , mechanics , fractal analysis , geometry , fractal dimension , physics , thermodynamics , ecology , biology
The foam drainage mainly depends on the influence of gravity and foam surface tension. In this work, we consider the foam drainage in a microgravity condition, and its fractal modification is established by using the fractal derivative. The variational principle of the novel fractal model is successfully obtained by the semi‐inverse method. Finally, an analytical solution is obtained by the variational iteration method; the effect of the fractal order on the solution property is illustrated.