This study is devoted to investigate the inherent irreversibility and thermal stability in a reactive electrically conducting fluid flowing steadily through a channel with isothermal walls under the influence of a transversely imposed magnetic field. Using a perturbation method coupled with a special type of Hermite-Pade´ approximation technique, the simplified governing non-linear equation is solved and the important properties of overall flow structure including velocity field, temperature field and thermal criticality conditions are derived which essentially expedite to obtain expressions for volumetric entropy generation numbers, irreversibility distribution ratio and the Bejan number in the flow field.