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 (${\left(C_6{H}_{7}Na{O}_6\right)}_n$) 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.

在这里，通过多孔表面检查了具有熵率的流体动力学 Darcy-Forchheimer 纳米流体流动。电流流动的数学背景是通过实施单相方法开发的。这里银（$\mathrm{一个}G$) 和黄金 ($\mathrm{一个}你$) 用作纳米颗粒，而海藻酸钠 (${\left(C_6{H}_7ñ\mathrm{一个}{○}_6\right)}_n$) 被视为基础流体。此外，能量方程中考虑了辐射、发热、欧姆加热和耗散的影响。研究了不可逆性（熵率）分析的特征。采用一组合适的非相似变量将非线性部分系统转换为无量纲普通系统。获得的无量纲系统通过数值方案（ND 求解技术）进行处理。针对银和金纳米粒子检查物理变量对速度场、Bejan 数、热场和熵产生的影响。通过磁变量注意到熵率和速度的反向效应。体积分数的更​​高近似值对速度和温度有相反的影响。Bejan 数减少了磁变量。辐射效应的增强会增加热场。Brinkman 数的熵和 Bejan 数呈现相反的趋势。