We examined the two-dimensional, Stagnation flow across a thermally extending cylinder and identify the precise analytical solutions. As hybrid nanoparticles, Copper (Cu) and Alumina Oxide solid [Formula: see text] particles are employed with base fluid [Formula: see text]. We added nanoparticles of Copper (Cu) and Alumina Oxide solid [Formula: see text] to the water being that its heat permeability is low. The fundamental fluid’s ([Formula: see text]) thermal efficiency has risen as a result. A computational model of stationary point flow through a heated stretching cylinder is constructed using the theory behind the mechanism of the flow strategy. Carefully considered is the interaction between the impinging stagnation flow and the flow produced by stretching the cylinder’s surface. For this fascinating subject, precise analytical solutions are obtained, and the results are also graphically evaluated. The flow picture is evaluated using streams for any indications of evolved flow stretching or impinging stagnation flow dominating under pressure. A thorough investigation of heat transport is also offered, along with a graphical description of the Nusselt number (Nu). When the stretching cylinder has a lower stretching velocity A, an impinging stagnation flow that is more forceful or completely developed is seen for larger values of the approaching flow pressure parameter. When greater approaching pressure P flow values are applied, stagnation flow dominates over stretching flow. A significant portion of stagnation point flow research takes a numerical approach to the subject; nevertheless, in this work, we seek to present a precise solution to the challenge at hand. Behavior of fluid as stream lines and graphs of velocity profile, temperature profiles are plotted by using Mathematica software.