Abstract
Abstract The two-dimensional unsteady convective diffusion equation satisfied by the local concentration of the colloid introduced in a field-flow fractionation (FFF) column is solved by the method of finite differences. The alternating direction implicit (ADI) method proposed by Peaceman and Rachford is used. The axial convection term is approximated by a backward difference approximation to obtain a stable and convergent scheme. Numerical results are obtained for various values of the transverse Peclet number for the case of steady laminar flow and a slug input. The numerical results from the ADI method are validated by comparison with numerical solutions obtained using an explicit scheme as well as by internal consistency checks. The results of this work show that the transverse concentration profiles depend in a complex fashion on axial position along the cloud during relaxation. In the presence of a field, asymptoticity in the transverse profiles is approached first in the rear of the colloid cloud, ...
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