Convergence of the continuous fluid-solid phase equilibrium problem using quadrature compositional characterizations

The solid-fluid phase equilibrium problem is solved for an n-paramnic C7+ m odel fluid whose pseudocomponent compositional characterization is determin ed by finite Laguerre-Gauss quadrature, under the assumption that the initi al solid phase formed is a "pure" pseudocomponent. Of interest is how rapid ly the crystal point temperature result converges with an increase in the l evel of quadrature. It is concluded that the highly nonlinear nature of the fluid phase's Gibbs energy of mixing presents a serious challenge to obtai ning a satisfactory asymptotic result. Furthermore, it is suggested that th e convergence of fluid-phase equilibrium results with increasing quadrature level may likewise be affected, though probably to a lesser extent.