FDM analysis for nonlinear mixed convective nanofluid flow with entropy generation

This analysis is concerned with unsteady Darcy-Forchheimer flow of nanomaterial by a stretching sheet. Heat transfer is carried out in presence of nonlinear mixed convection. Brownian motion and thermophoresis diffusion describe nanomaterial characteristics. Further magnetic field and viscous dissipation impacts are considered. By choosing suitable variables problem related expressions (PDEs) are transformed into dimensionless PDEs. These PDEs are then tackled through finite difference scheme. Entropy generation, skin friction, mass transfer rate and heat transfer rate are elaborated for involved parameters. Velocity enhances with increment in buoyancy variable and time while it reduces via higher Forchheimer number and porosity parameter. Temperature of the fluid decays with larger time while it boosts with an increment in Eckert number and nonlinear convection parameter. Higher values of Schmidt number lead to decay in concentration while it intensifies against higher thermophoretic diffusion parameter and time. Entropy production rate boosts against Prandtl and Eckert numbers while it is controlled via higher temperature ratio and volume ratio parameters.

Automated summary

This analysis focuses on the unsteady Darcy-Forchheimer flow and heat transfer of nanomaterial on a stretching sheet, taking into account nonlinear mixed convection, Brownian motion, thermophoresis diffusion, magnetic field, and viscous dissipation. The dimensionless PDEs are solved using a finite difference scheme, and various parameters such as entropy generation, skin friction, mass transfer rate, and heat transfer rate are discussed. Velocity and temperature of the fluid are shown to be affected by buoyancy, Forchheimer number, time, Eckert number, and nonlinear convection parameter. High values of Schmidt number lead to concentration decay but intensify with thermophoretic diffusion and time. Entropy production rate is influenced by Prandtl and Eckert numbers, as well as temperature ratio and volume ratio parameters.