摘要

D-optimal designs are developed for adsorption kinetics experiments for three 1-dimensional sample geometries: the infinite slab, the infinite cylinder, and the sphere. The well-known solutions to Fick%26apos;s second law with constant diffusivity, homogeneous initial concentration, and a convective boundary condition were used as the adsorption kinetic models. Prior to solving for the D-optimal designs, it is shown that the designs can be cast in terms of two dimensionless groups, the Biot number and the Fourier modulus. Finally, the D-optimal designs for the three geometries are presented and compared.

  • 出版日期2014-12-12

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