Investigation of dual solutions in flow of a non-Newtonian fluid with homogeneous-heterogeneous reactions: Critical points

In the current letter we present a numerical study to review the impacts of homogeneous-heterogeneous reactions on the stagnation point flow of Carreau fluid. In addition, an investigation is considered for the flow impelled by a shrinking sheet along with uniform suction on the wall. We explored the prototype model of homogeneous-heterogeneous reactions in which the diffusion coefficients of reactant and catalyst are identical. With the aid of non-dimensional variables, we get a non-linear system of differential equations which is integrated numerically using MATLAB builtin routine bvp4c. The flow and concentration are exceptionally impacted by the pertinent parameters, like, the Weissenberg number, shrinking parameter, mass transfer parameter, homogeneous/heterogeneous reactions parameter and Schmidt number. Likewise, we inspected that dual solutions for the velocity and concentration fields exist in the case of a shrinking sheet and for a fixed range of other parameters. Our review indicates that the momentum boundary layer thickness rises significantly with an increase in the shrinking parameter for the second solution. Besides, the strength of homogeneous reaction is extremely useful to reduce the concentration of reaction. Under some special assumptions, the consequences of the present study demonstrate a splendid relationship with prior works.