Abstract
Purpose The purpose of this paper is to investigate the heat transportation rate by using Cattaneo-Christov heat flux model. Furthermore, homogeneous-heterogeneous reaction is also deliberated in the modeling of concentration expression. Design/methodology/approach The nonlinear PDEs are reduced to ODEs via implementation of applicable transformations. Numerical scheme bvp4c is used to obtain convergent solutions. Findings The main findings are to characterize the generalized Fourier's heat flux and homogeneous-heterogeneous reactions in 3D flow of non-Newtonian cross fluid. Originality/value It is to certify that this paper is neither published earlier nor submitted elsewhere.