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The use of mathematical models for predicting the concentration gradient of a molar species under electrophoretic and electroosmotic forces has been exploited in a variety of applications, including water desalination, electrokinetic remediation of soil pollutants, and modeling drug delivery methods. Many existing models are only suited for narrow applications and are rooted primarily in data analysis rather than the governing equations, limiting flexibility under parameter changes. This contribution provides a generalized mathematical model for the concentration gradient of a molar species undergoing electrophoretic and electroosmotic forces in a rectangular channel. The model couples electrostatic potential and velocity profile formulations to produce an accurate concentration profile, relying on solutions to fluid mechanics equations including the Poisson–Boltzmann equation, the Navier–Stokes equation, and the molar species continuity equation. The model treats diffusivity, susceptibility, and electrostatic potential as variable parameters rather than fixed constants, and it leverages area-averaging techniques to solve the molar species continuity equation in this context. The work includes analysis of the resulting model and describes useful parameter configurations, including behavior in highly convective systems.