It is discerned that the branch of dual outcomes exists in the opposing flow case. In addition, the temperature distribution uplifts due to radiation and curvature parameters. The involvement of the radiation parameter shows an increasing tendency in the heat transfer rate, resulting in an enhancement in thermal flow efficacy. The outcomes divulge that the aspect of friction factor and heat transport upsurge by incorporating alumina nanoparticles. ![]() The impacts of assorted control parameters on gradients are investigated. ![]() Based on some reasonable assumptions, the model of nonlinear equations is developed and then tackled numerically employing the built-in bvp4c MATLAB solver. Thus, the current paper is a comparative exploration of the time-independent buoyancy opposing and heat transfer flow of alumina nanoparticles scattered in water as a regular fluid induced via a vertical cylinder with mutual effect of stagnation-point and radiation. ![]() Fluid solutions containing metal nanoparticles have higher thermal conductivity than conventional fluids, allowing for more effective cooling. Cooling and heating are two critical processes in the transportation and manufacturing industries.
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