Thermal runaway and thermodynamic second law of a reactive couple stress hydromagnetic fluid with variable properties and Navier slips

Theoretical solutions of a thermal runaway and irreversibility thermodynamic analysis of a couple stress hydromagnetic reactive fluid with Navier slip conditions and variable properties are examined. Ignoring the material assumption, the fluid is taken to be actively exothermic under Bimolecular kinetics. The dimensionless modeled equations are analytically solved using weighted residual method coupled with collocation techniques to obtain the bifurcation branch chain for criticality, irreversibility rate, flow rate and heat distribution solutions. It was noticed that the variable properties have no significant influence on the couple stress reactive liquid and heat distribution. Also, at high thermodynamic equilibrium, entropy generation in the system is minimized. This study results will help in understanding the relationship that exist between thermal explosion and thermal branched-chain in managing industrial engines in order to avoid system blow up.