Effect of Bulk and Interfacial Rheological Properties on Bubble Dissolution
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Published on: April 10, 2017
William Kloek1, Ton van Vliet, Marcel Meinders
1Department of Food Technology and Nutritional Sciences, Wageningen Centre for Food Sciences, c/o Wageningen University, Wageningen, 6700 EV, the Netherlands
Abstract:
This paper describes theoretical calculations of the combined effect of bulk and interfacial rheological properties on dissolution behavior of a bubble in an infinite medium at saturated conditions. Either bulk or interfacial elasticity can stop the bubble dissolution process, and stability criteria are defined for the elastic cases. In the case of an elastic interface with dilation modulus E(d) and a bubble with an initial radius R(0) and initial interfacial tension sigma(0), the bubble is stabilized as it has shrunk to a relative radius of varepsilon=R/R(0)=exp(-sigma(0)/2E(d))). In case of an elastic bulk with modulus G a bubble will shrink until GR(0)=4sigma(0)varepsilon(3)/(1-5varepsilon(4)+4varepsilon(3)) is fulfilled. Bulk and interfacial viscosity can retard the dissolution process if their magnitude exceeds a certain critical value but will never completely stop bubble dissolution. Copyright 2001 Academic Press.
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