Analytic Solution of Axial Dispersion Model Using Laplace Transform

A one dimensional axial dispersion model involving a single parameter Peclet number (Pe) has been solved analytically using Laplace transforms. The concentration variable c is taken to be a function of space variable x and time t. The inverse Laplace transform of the function c(x,t) has been solved using calculus of residues. Two limiting or ideal cases for Pe have been discussed.