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Adaptation of bulk constitutive equations to insoluble monolayer collapse at the air-water interface
J P Kampf1, C W Frank, E E Malmström
1Department of Chemical Engineering, Stanford University, Stanford, CA 94305-5025, USA. IBM Almaden Research Center, San Jose, CA 95120-6099, USA.
Abstract:
A constitutive equation based on stress-strain models of bulk solids was adapted to relate the surface pressure, compression rate, and temperature of an insoluble monolayer of monodendrons during collapse at the air-water interface. A power law relation between compression rate and surface pressure and an Arrhenius temperature dependence of the steady-state creep rate were observed in data from compression rate and creep experiments in the collapse region. These relations were combined into a single constitutive equation to calculate the temperature dependence of the collapse pressure with a maximum error of 5 percent for temperatures ranging from 10 degrees to 25 degrees C.
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