Double exothermic reaction of viscous dissipative Oldroyd 8-constant fluid and thermal ignition in a channel

[Display omitted] •The plane Couette Oldroyd 8-constant two-step reactive fluid flow is formulated.•The activation energy has no effect on the viscoelastic fluid considered.•Terms that raises criticality regime must be monitored to avoid solution blowup.•Heat field is simulated by increasing the initiation and Frank Kamenetskii terms. The theoretical study of double exothermic combustible reaction and thermal ignition of viscous dissipative Oldroyd 8-constant liquid is examined in a channel. Without consumption of material, the fully developed two-step combustible reaction for the non-Newtonian fluid occurred in a bounded medium. The flow is propelled by reaction activation energy, upper wall motion and pre-exponential chemical kinetics that stimulates internal temperature. The overall solutions for the dimensionless viscoelastic exothermic reaction model is obtained by integrating collocation weighted residual techniques. In graphical and tabular form, the solution results are presented for the fluid flow rate, energy field and the branch-chain bifurcation.