Present communication mainly addresses the fluid transport characteristics of ferromagnetic Carreau nanofluid over a porous wedge, plate, and stagnation point with magnetic dipole effect for shear thinning/shear thickening cases. Suitable self-similarity variables are employed to convert the fluid transport equations into ordinary differential equations which are solved with the use of the Runge-Kutta-Fehlberg (RKF) approach. To check the accuracy of the present model, numerical results for various thermophoretic values for the cases of shear thinning/shear thickening, have been compared with the results obtained by using bvp4c (MATLAB) which divulges good agreement. Influence of active parameters like ferromagnetic-hydrodynamic interaction, thermophoretic, dimensionless distance, Brownian diffusion, suction/injection, Weissenberg number are graphically presented. Computed results manifest that shear thinning and shear thickening fluids express the opposite nature in fluid velocity and temperature for higher values of Weissenberg number. Among the wedge, plate and stagnation point of the plate, the magnitude of heat transfer over the plate is significant for increasing Ferromagnetic-hydrodynamic interaction parameter. Furthermore, it is noticed that higher values of suction/injection parameter decline the fluid temperature over a plate, wedge and stagnation point of a flat plate. © 2020 the Author(s), licensee AIMS Press.