Simple Mathematical Approach for Determining the Compositions of the Different Phases Resulting from the Phase Separation Behavior of Polymer Blends

Abstract

AbstractIn this paper, the Flory–Huggins theory is utilized to formulate two essential equations for determining the compositions of the different phases resulting from the phase separation behavior of polymer blends. The equations use a graphical approach to determine the numerical outcomes of the compositions of the different phases, serving as a universally applicable illustration. The results show that when the Flory–Huggins interaction parameter is less than the critical value, the graphs of the equations have no intersection point, indicating the absence of phase separation. Conversely, when the Flory–Huggins interaction parameter equals the critical value, the graphs of the equations display a single intersection point. Furthermore, if the parameter value exceeds the critical value, the graphs of the equations show two symmetrical intersection points, indicating that phase separation can occur. The present study also includes a discussion on the correlations between the compositions of the different phases and the Flory–Huggins interaction parameter.DisclaimerAs a service to authors and researchers we are providing this version of an accepted manuscript (AM). Copyediting, typesetting, and review of the resulting proofs will be undertaken on this manuscript before final publication of the Version of Record (VoR). During production and pre-press, errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal relate to these versions also.