<p>The main theme of this article is to find analytically the solution of an irreversible reaction of two components in liquid chromatography. The two-dimensional flow is considered in a closed channel, namely, the chromatographic column. The mathematical model, known as the equilibrium dispersive model (EDM), comprises two partial differential equations. Chemical reaction, dispersion in both radial and axial directions, and convection occur and are reflected in the model. A linear Langmuir adsorption isotherm is used for continuous flow and rectangular pulse injection. Application of Laplace and Hankel transformations is used as a basic tool for the solution. Hankel transformation is useful to tackle the radial effect of the flow, and Laplace transformed solution is important in very important for moment analysis in chromatography. The analytical solution, if possible, is verified using the high-resolution finite volume scheme. In case where no exact analytical solution is possible, we used the numerical Laplace inversion for the solution. Two well-known boundary conditions Dirichlet and Danckwert’s are used at inlet of the flow channel in combination with Neumann condition at outlet of the flow channel. The effects of key parameters (<InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\mu\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>μ</mi> </math></EquationSource> </InlineEquation>, <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(D_z\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>D</mi> <mi>z</mi> </msub> </math></EquationSource> </InlineEquation>, and <i>v</i>) involved in our model on the behavior of the solution concentration of the components, such as peak sharpness and retention time, have been discussed. This physically validates the transport mechanism involved in the process.</p>