Abstract
Abstract This study investigates the current density and branch-chain thermal criticality for a non-Newtonian hydromagnetic second-grade fluid flow in a Poiseuille device with varying electrical conductivity. The combustible reactive fluid is fully exothermic without material consumption, and the fluid is induced by electric and magnetic fields in the presence of axial gradient pressure. With suitable variables, the equations are translated to dimensionless form and solved by semi finite discretization difference scheme to provide solutions for the heat and velocity dependent parameters. The thermal ignition and slice bifurcation for the criticality, and the current density results are plotted for various dependent terms. It is obtained from the investigation that terms that increases current density in the flow system need to be augmented to improve the current carrying hydromagnetic fluid in order to improve its industrial usage.
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