Analytical solution to an axial dispersion model for the fixed‐bed adsorber

Abstract

An axial dispersion model for the operation of a fixed-bed adsorber with a linear adsorption isotherm was formulated and sol®ed analytically using the separation of ®ari-ables method. The asymptotic solution for a large Peclet number andror a small operation time was also obtained using two limiting cases. The results can be used to correlate or to predict both the mass-transfer zones and the breakthrough cur®es of a fixed-bed adsorber. Influence of both the Peclet number and the retardation coefficient on the operation of a fixed-bed adsorber was also studied. As an example, the axial dispersion model was applied to the experimental data of the remo®al of phenol from the solution in the acti®ated carbon and the Amberlite resin XAD-4 fixed-bed adsorbers.

Macropore diffusion dusty-gas coefficient for pelletised zeolites from breakthrough experiments in the O2/N2 system

“…The magnitude of Pe B,mass never drops below 700 at any point during each simulation. According to Liao and Shiau (2000) Pe B,mass greater than 100 indicates convective gas motion dominates interpellet mass transfer, justifying the plug flow assumption during the experimental determination of C m .…”

“…Interpellet gas velocities must also ensure the Peclet number Pe B,mass is greater than 100 to eliminate axial dispersion of the gas phase (Liao and Shiau, 2000). With each intrapellet structural parameter now ascertained the remaining discussion shall quantify the omission of axial dispersion and external film mass transfer resistance.…”

Application of Mathematica Software to Solve Pulp Washing Model

“…Extensive study of axial dispersion model has been carried out by [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26]. The model has been solved using analytic and numerical techniques like Laplace transform technique [2-4, 10, 15, 23, 26], finite difference technique [25], orthogonal collocation method [5,7,12], orthogonal collocation on finite elements [6,20,21], Galerkin/Petrov Galerkin method [8,19], Hermite collocation method by [11,17,24] and Spline collocation method [13].…”

Modelling and Simulation of a Packed Bed of Pulp Fibers Using Mixed Collocation Method

“…A great deal of effort has been applied to compute efficiently the solution of transient partial differential equations (1) and (2) analytically [1][2][3][4][5][6][7] and numerical algorithms such as Hermite radial basis function interpolation numerical scheme [8], two-stage Lie-group shooting method [9], finite difference method [10][11][12], spectral collocation method [13], Sinc differential quadrature method [14], orthogonal collocation method [10,[15][16][17], fitted mesh collocation method [18], a novel numerical scheme [19], Galerkin/Petrov Galerkin method [20][21][22], orthogonal collocation on finite elements [23][24][25], factorized diagonal Padé approximation [26], spline collocation methods [27,28], variational iteration method (VIM) [29,30], homotopy analysis method [31,32], homotopy perturbation method (HPM) [33][34][35], and energy balance method [36].…”