A two-component nonisothermal model of linear chromatography is formulated to study heat effects and interference between components in thermally insulated columns. The Laplace transform and decoupling techniques are jointly applied to solve the model equations analytically. The first and second analytical temporal moments are derived which simply vectorized the moments of a single-solute nonisothermal model. To confirm ranges of applicability of the derived analytical solutions, a high resolution finite volume method is additionally applied to solve the nonlinear nonisothermal model equations numerically. Various test problems are considered. The influence of heat transfer on the retention times and shape of the profiles are studied, as both the thermodynamics and kinetics of adsorption processes are functions of temperature. The enthalpy of adsorption essentially influences the thermal behavior of the column. It was found that the ratio of density times specific heat of solid and liquid phases has a significant influence on the magnitude and speed of the thermal waves. The results obtained could be helpful to understand and optimize competitive adsorption chromatography.