Nonlinear buoyancy driven flow of hybrid nanoliquid past a spinning cylinder with quadratic thermal radiation

The buoyancy driven flow on a vertical cylinder finds relevance in many engineering applications as in geophysics, chemical engineering, metallurgy, oceanography etc. The flow of water transporting hybrid nano -particles (25 nm Ag and 40 nm MgO) around a spinning cylinder surface subjected to quadratic radiative heat transfer is explored using nonlinear buoyancy-induced (quadratic convection). The Esfe models for thermal conductivity and dynamic viscosity as a function of a volumetric percentage of nanoparticle are amalgamated. The partial differential equations (PDEs) for buoyancy driven boundary layer flow are used to construct the dimensionless nonlinear form of governing PDEs, which are then solved by discretization method i.e., 2D Galerkin Finite Element Method (GFEM). Heat transport is found to be greater for quadratic radiation/convec-tion than for linear thermal radiation/convection. Using response surface methodology, the maximum average heat transport (5.78391) is achieved for maximum parametric value of buoyancy parameter, rotating parameter and radiation parameter. Residual and sensitivity analyses are conducted for quadratic fitting. In addition, sensitivity of average Nusselt number towards radiation parameter is always positive.

Automated summary

The buoyancy driven flow on a vertical cylinder has applications in various engineering fields. In this study, the flow of water transporting hybrid nano-particles around a spinning cylinder surface subjected to quadratic radiative heat transfer is investigated. The research shows that heat transport is greater for quadratic radiation/convection compared to linear thermal radiation/convection. The governing partial differential equations are solved using a discretization method, and the maximum average heat transport is achieved through response surface methodology.