A hybrid perturbation–numerical structure for thermally radiative conducting Jeffrey fluid flow with chemical reaction through porous medium

The exposure of the non-Newtonian fluid models gained extensive attention for their varied applications in engineering-cum-biomedical processes, including crude oil recovery, catalytic chemical reactors, and blood flow analysis. In particular, the Jeffrey fluid model is a subclass of viscoelastic fluids that exhibit relaxation and retardation effects relevant to real-world problems. The current study aims to examine the performance of thermal radiation and a chemical reaction with an internal heat source in a conducting flow through a porous medium. The nonlinear mathematical model for the said purpose is developed with associated boundary restrictions that are re-framed by utilizing similarity rules. Further, a hybrid approach of perturbation–numerical structure is presented in handling the model. Initially, perturbation is utilized in the momentum phenomenon to reduce the order of the equation that is equipped with the requisite boundary conditions and then due to a lack of initial conditions, a standard numerical technique, i.e., shooting-based Runge–Kutta technique is adopted. The characteristics of the key factors are thoroughly examined, followed by validation. These results are deployed via graphical illustration, and the rate coefficients are reported numerically. Moreover, it is rendered that with enhanced non-Newtonian Jeffrey parameter augments the velocity distribution due to relaxation time whereas reverse impact is observed for the retardation time. The solutal transfer rate is controlled by augmenting the chemical reaction parameter.