oa South African Journal of Chemical Engineering - Orthogonal collocation solution of non-linear coupled-partial differential equations in fixed bed adsorption column

Volume 20, Issue 1
  • ISSN : 1026-9185



The mathematical model for the adsorption of lead ions onto ETS-10 particles has been developed. The resulting material balance equations in fixed bed adsorption column are nonlinear coupled partial differential equations. These equations were solved by using orthogonal collocation technique which converts them to ordinary differential equations. The resulting ordinary differential equations have been solved by using ode15s of MATLAB which uses variable order, variable step Gear method. The model was found to be robust and the results were compared with the experimental results reported in literature. After validation of the model, simulations were carried out using the present model for a systematic parametric study. The effects of various important such as flow rate, bed height, inlet adsorbate concentration, pore diffusivity and particle diameter on breakthrough curve were studied in detail. Also the concentration of adsorbate in the pores of the adsorbent particle was found out.

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