Abstract
A theoretical model is developed to describe the in-depth effect of bubbles on the steady-state transport of volatile gases from the surface of a thermoplastic material subjected to an incident conductive heat flux. In this model the effect of the bubbles on the surrounding liquid is felt through the bubble number distribution function, n, which appears in the equations for conservation of mass, momentum, species, and energy in the melt. The equation describing the evolution of n includes the effects of bubble growth, convection, and nucleation. Formulas for the mass flux of volatiles and the bubble void fraction for gasifying PMMA are developed from the conservation equations, for the special case of a constant polymer mass fraction in the liquid phase.
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