<p>The current study examines how Hall current affects a viscous fluid’s squeezing flow between parallel plates when both homogeneous and heterogeneous chemical processes are present. Analyzing heat transfer properties pertinent to fuel cells, engine cooling, and pharmaceutical procedures is the primary goal of this work. Under irreversible circumstances, squeezing flow is produced in the model under consideration as the upper plate descends toward the lower plate. The problem’s mathematical formulation results in a linked set of partial differential equations, which are then transformed into ordinary differential equations using appropriate similarity transformations. The Homotopy Analysis Method (HAM) is then used to evaluate the resultant self-similar system, together with appropriate starting guesses and auxiliary parameters to guarantee quick and accurate convergence. Additionally, the numerical solutions obtained by the BVP4c solver are compared with the HAM solutions to confirm their accuracy and correctness. The impact of thermal conductivity and the Hall parameter on temperature and velocity distributions is examined. The obtained results reveal that both velocity and temperature profiles decrease with an increase in the Hall parameter, which is attributed to the enhanced effective resistive force that suppresses fluid motion and weakens thermal transport. It is also observed that increasing the squeezing parameter intensifies fluid compression, which modifies the velocity field and affects the thermal distribution within the system. Furthermore, the present findings may provide useful insights for practical applications in polymer processing, lubrication systems, MHD-assisted cooling, and reactive chemical engineering processes.</p>