GENERALIZATION OF NEUMANN EQUATION FOR MULTIMEDIA SURFACE FREE ENERGY AND WETTABILITY ANALYSES VIA FUNCTIONAL COMPENSATION SCHEME
Keywords:
Contact Angle, Surface Free Energy, Functional Compensation, WettabilityAbstract
A functional compensation scheme required to generalize the popular Neumann equation of state for multimedia surface free energy (SFE) and wettability analyses is presented in this study. The compensation network was defined using relevant control theories and nonlinear regression methods. Reported apparent contact angle values of three popular test media including water, formamide and diiodomethane on a white marble sample measured at various nano roughness values were considered to demonstrate the application and performance of the proposed generalized Neumann equation. The effects of surface roughness on SFE value and wettability of the studied marble samples were verified using the mew method. The generalized Neumann equation was validated using the geometric mean approach suggested by Owens–Wendt.
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