Assessment of the local thermal non-equilibrium condition for nanofluid flow through porous media: a comparative analysis

This investigation aims to scrutinize the general criterion for local thermal non-equilibrium (LTNE) and to focus on the influence of nanoparticles (AA7075 and Cu) in the base fluids (methanol and NaAlg) by employing the Tiwari-Das model. The heat transfer features of a nanoliquid flow over a stretching sheet in a porous medium are investigated numerically in terms of parameters of engineering interest. The system of modelled equations is reduced by using suitable similarity transformations, which are then tackled numerically by using the Runge-Kutta-Fehlberg (RKF) process with shooting technique. The influence of numerous controlling pertinent parameters on velocity, thermal field, friction factor and Nusselt number for fluid and solid matrix phase is discussed graphically. It is concluded that the velocity of the NaAlg-Cu nanoliquid is strongly stimulated by growing values of porosity parameter. The fluid and solid-phase thermal profiles of Methanol-AA7075 nanoliquid are strongly stimulated by increasing porosity-modified conductivity ratio parameter values. An upsurge in the inter-phase heat transfer parameter led to growth in the heat transfer rate of the solid phase but decreased the heat transfer rate of the fluid phase.