Entropy optimization for nanofluid flow with radiation subject to a porous medium

Here hydrodynamic Darcy-Forchheimer nanofluid flow with entropy rate by a porous surface is examined. Mathematical background of current flow is developed through implementing single-phase approach. Here silver (Ag) and gold (Au) are used as nanoparticles, while sodium alginate ((C₆H₇NaO₆)_n) is considered as base fluid. Moreover, the impact of radiation, heat generation, Ohmic heating and dissipation are considered in energy equation. Feature of irreversibility (entropy rate) analysis is scrutinized. A set of suitable non-similar variables are employed for conversion of nonlinear partial system into dimensionless ordinary system. The obtained dimensionless systems are tackled through numerical scheme (ND-solve technique). Influence of physical variables on velocity field, Bejan number, thermal field and entropy generation are examined against both silver and gold nanoparticles. Reverse effect for entropy rate and velocity is noted through magnetic variable. Higher approximation of volume fraction has reverse effect on velocity and temperature. Bejan number is diminished for magnetic variable. An intensification in radiation effect increases thermal field. A reverse trend is seen for entropy and Bejan numbers for Brinkman number.