M A Fortes and P I C Teixeira 2003 J. Phys. A: Math. Gen. 36 5161 doi:10.1088/0305-4470/36/19/301
M A Fortes1 and P I C Teixeira1,2
Show affiliationsWe obtain the number fractions xi, the average areas {A}i and the average perimeters {P}i of i-sided bubbles in a two-dimensional foam by minimizing the total surface energy and assuming a simple relation between {P}i and {√A}i. Calculations for linear and Weibull distributions of the square root of the bubble area yield large deviations, particularly at small i, from Lewis's and Desch's laws, which linearly relate {A}i and {P}i, respectively, to i. Nevertheless, we find good agreement with experimental results for xi, {P}i and {A}i in foams.
05.70.Np Interface and surface thermodynamics
Soft matter, liquids and polymers
Surfaces, interfaces and thin films
Issue 19 (16 May 2003)
Received 23 December 2002
Published 29 April 2003
M A Fortes and P I C Teixeira 2003 J. Phys. A: Math. Gen. 36 5161
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