The assessment of the Darcy–Forchheimer flow of magnetohydrodynamic Williamson nanofluid with entropy optimization is the main purpose of this article. This study was carried out to analyze the impacts on fluid flow via a stratified plate. The impacts of viscous dissipation, chemical reaction, and Joule heating are examined in the existence of nonlinear thermal radiation. The framework of partial differential expressions is transformed into ordinary differential equations by utilizing a suitable set of similarity transformations. The obtained differential equations are analytically tackled by the homotopy analysis approach. -curves, table of convergence, and graphical outcomes are displayed and examined by using MATHEMATICA software. A distinctive parameter chart, against the profiles of temperature, velocity, and concentration with relevant discussion is portrayed for emphasizing their physical importance. Through graphical representations, the Sherwood number, the coefficient of skin friction, local Nussel1t number, and entropy generation impact are examined. This kind of study is useful in many industries like solar engineering, polymer extrusion, electronic supplies, biomedical, etc.

本文的主要目的是评估具有熵优化的磁流体动力学威廉姆森纳米流体的 Darcy-Forchheimer 流。本研究旨在分析分层板对流体流动的影响。在非线性热辐射存在的情况下检查粘性耗散、化学反应和焦耳热的影响。通过使用一组合适的相似变换，偏微分表达式的框架被转换为常微分方程。得到的微分方程通过同伦分析方法进行解析处理。- 使用 MATHEMATICA 软件显示和检查曲线、收敛表和图形结果。一个独特的参数图表，相对于温度、速度、和相关讨论的注意力被描绘为强调它们的物理重要性。通过图形表示，检查了舍伍德数、皮肤摩擦系数、局部 Nussel1t 数和熵生成影响。这种研究在太阳能工程、聚合物挤出、电子供应、生物医学等许多行业都很有用。