| description abstract | A mathematical model for free convective boundary-layer flow of a nanofluid with second-order velocity slip over a permeable vertical flat plate has been presented. The system of governing equations is first nondimensionalized, and then similarity transformations are used to convert the governing partial differential equations into a set of coupled ordinary differential equations. A numerical algorithm is applied to this boundary value problem (BVP) of coupled ordinary differential equations. Collocation method is used for the solution of the nonlinear ordinary BVP. The dimensionless analysis revealed that the dimensionless field variables (velocity, temperature, and nanoparticle volume fraction), and the flow characteristics (skin friction factor, heat transfer, and nanoparticle volume fraction transfer) in the respective boundary layers depend on the Prandtl number (Pr), the Lewis numbers (Le), the thermophoresis parameter (Nt), the Brownian motion parameter (Nb), the buoyancy ratio parameter (Nr), the convective parameter (γ), the reaction parameter (K), first-order velocity slip parameter (a), and second-order velocity slip parameter (b). Flow field and physical quantities strongly depend on the governing parameters. The present problem has applications in nanofluid synthesis for medicine. A tabular validation of the present numerical approach with the existing results in the literature is provided as a limiting case. | |
