Enhancing heat transfer is of utmost importance in modern industrial applications. Pure liquids for illustration
ethylene glycol, propylene glycol and water having lower conductivity are commonly used as cooling liquids
in distinct applications. This approach helps conserve and optimize the enhancement of heat
transportation. However, in order to achieve enhanced thermal efficiency, state-of-the-art liquids known as
nanoliquids have been recommended. Thus the Buongiorno two-component nanoliquid model, which exhibits
superior thermal efficiency compared to the aforementioned standard cooling liquids is being considered for
formulating and analyzing the behavior of Casson nanoliquid configured by cylindrical convected surface. The
problem formulation incorporates various factors such as Darcy-Forchheimer porosity, thermophoresis, magnetohydrodynamics,
Brownian diffusion, suction/injection and Joule heating. Boundary-layer stretching flow is
formulated. Dimensionless differential form from governing nonlinear problems is achieved by employing relevant
variables. The application of the homotopy procedure results in convergent solutions for strongly nonlinear
systems. The graphs are used to reveal the plots of significant factors in the analysis.