Diffusion-controlled sorption of dye by cylindrical fibers: Matching empirical and theoretical models

Under quite specific, limiting assumptions, sorption of molecular probes by cylindrical fibers can be described by use of the conventional diffusion equation solutions of Hill, Newman, Wilson, Crank, Carman–Haul, or Urbanik. In addition, sorption also may be described by use of relatively simple empirical equations. Statistical analysis reveals which one of three empirical, exponential equations best fits theoretical data generated by use of formal solutions to the diffusion equation, and the selected equation is then applied to real data. © 1995 John Wiley & Sons, Inc.