Title
Comparative study of axial dispersion model using cubic Hermite collocation method for linear and nonlinear adsorption isotherms
Authors
I. A. GANAIE V. K. KUKREJA N. PARUMASUR P. SINGH and F. POTUCEK

Received November 13, 2013
Published Volume 48 Issue 7-8 July-August
Keywords diffusion, dispersion, Langmuir isotherm, leaching, numerical solution, packed bed

Abstract
The transient behaviour of desorption phenomena of a solute through a packed bed of porous particles is characterized using the one dimensional axial dispersion model. Mass-transfer resistance due to pore diffusion/dispersion is considered in the model. The model is analyzed with respect to linear and nonlinear (Langmuir) adsorption isotherm, for same set of boundary and initial conditions. The model is solved numerically, using the cubic Hermite collocation method with Gauss Legendre quadrature points of order two, as collocation points. Linear and nonlinear cases are compared based on experimental data, from a paper mill, reported by previous investigators. The value of exit solute concentration for different parameters like Péclet number, axial dispersion coefficient, interstitial velocity and cake thickness is measured through the models. It is concluded that the nonlinear isotherm follows the actual desorption process more closely than the linear isotherm.