On three-dimensional MHD Oldroyd-B fluid flow with nonlinear thermal radiation and homogeneous–heterogeneous reaction

Abstract

This exploration studies a new mathematical model that highlights the impact of homogeneous–heterogeneous reactions on the flow of three-dimensional Oldroyd-B fluid past a bidirectional stretched surface. Here, homogeneous reaction is described by cubic autocatalysis and heterogeneous reaction is indicated by first-order process. Additional impacts of nonlinear thermal radiation and variable thermal conductivity are also taken into account. Flow analysis is materialized in attendance of magnetohydrodynamic, heat generation/absorption and free convection. Convective heat boundary condition is also engaged in the present problem. Homotopy analysis method is betrothed to elucidate the nonlinear system of partial differential equations. A comparison to a previously done study is also added to substantiate existing results; hence, dependable results are being exhibited. Graphs of important parameters versus all distributions are also given to elucidate their physical aspects. It is reported that temperature profile is an increasing function of Biot number. It is further noted that impact of strength of homogeneous and heterogeneous reactions on concentration profile are conflicting.