LI Ke, XIE Mao-zhao, LIU Hong. Microscopical and Macroscopical Numerical Study on the Drainage Process in Fabricating Foamed Aluminum[J]. Applied Mathematics and Mechanics, 2009, 30(12): 1453-1462. doi: 10.3879/j.issn.1000-0887.2009.12.006
 Citation: LI Ke, XIE Mao-zhao, LIU Hong. Microscopical and Macroscopical Numerical Study on the Drainage Process in Fabricating Foamed Aluminum[J]. Applied Mathematics and Mechanics, 2009, 30(12): 1453-1462.

# Microscopical and Macroscopical Numerical Study on the Drainage Process in Fabricating Foamed Aluminum

##### doi: 10.3879/j.issn.1000-0887.2009.12.006
• Rev Recd Date: 2009-11-11
• Publish Date: 2009-12-15
• Velocity field in a single plateau border of aluminum foam during drainage process was studied by a mathematic model for the flow inside a micro-channel.It is shown that the liquid/gas interface mobility,which is characterized by the Newtonian surface viscosity,has substantial effect on velocity inside single plateau border.It's found that at the same liquid/gas interfacial mobility (M)and same radius of curvature,the max velocity inside an exterior plateau border is about 6~8 times as large as that inside an interior plateau border.It's also found that a critical value of the interfacial mobility in interior plateau border,for values greater or less than which the effects of the film thickness on the velocity in plateau border show opposite tendencies.Based on the results from the microscopical model,a new macroscopical drainage model was presented for aluminum foams.Comparisons of computed results by this model with experimental data from the literature and with those from the classical drainage equation show a reasonable agreement.Furthermore,computational results reveal that the liquid holdup of foams is dependent strongly on the value of M and bubble radius.
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