Computational analysis on the flow of hybrid nanofluid along three diverse flow surfaces with magnetized force accomplished numerically. A comparative study was performed for [Formula: see text] hybridized nanoliquid streams along cone, wedge, and plate surfaces. The flow governing equations are embedded with various physical factors: nonlinear radiation, magnetic force, and uneven heat rise/fall. The implication of these biological factors on velocity and thermal distributions, wall friction, and the thermal transfer rate are interpreted via plots and tables. For numerical computation, we implemented the R-K method with a shooting scheme by means of the Matlab package. Results reveal that the implication of embedded factors on hybrid nanofluid flow along cone surfaces is more substantial than flow along wedge and plate surfaces. Also, the utilization of copper and titanium oxide nanoparticles elevates the thermal enactment of the base liquid water to a greater extent. Wall temperature factor and thermal Grashof number effectively amplify the nanofluid thermal transport rate.