In the study of boundary layer regions, it is in practice to dimensionless the governing equations and grouping variables together into dimensionless numbers in order to curtail the total number of variables. In non-similar flows, in contrast to similar flows the basic quantities change in the flow direction. Flows across porous media are important because of its applications in biological and environmental systems such as tissues, bones soils, etc. In Darcy-Forchheimer-Brinkman framework the basic quantities change in the stream wise direction. Therefore, non-similar boundary layer model is developed for forced convection in the steady flow of Casson nano-fluid over horizontal plate installed in non-Darcy porous media. The governing equations describing Darcy-Forchheimer-Brinkman model are transformed into dimensionless non-similar model by making use of appropriate non-similar transformations. The dimensionless partial differential system is solved through local non-similarity via bvp4c. The impact of emerging non-dimensional parameters, namely, Casson parameter (β ), Schmidt number (S_c), porosity (ε), Prandtl number (P_r), 1st order porous resistance parameter (R₁), thermophoresis parameter ( N_t), 2nd order porous resistance parameter (R₂), Brownian motion parameter (N_b) and dimensionless viscous dissipation on the dimensionless velocity, temperature and concentration distributions are examined in detail. Furthermore, the impacts of these parameters on dimensionless friction coefficient and heat transfer rate are also explored. Finally, comparison of non-similar solutions with local similar solutions has been made with published data.

在研究边界层区域时，实际上是对控制方程进行无量纲化并将变量分组为无量纲数，以减少变量的总数。在非相似流中，与相似流相反，基本量沿流向变化。跨多孔介质的流量之所以重要，是因为它在生物和环境系统（如组织，骨骼土壤等）中的应用。在Darcy-Forchheimer-Brinkman框架中，基本量沿河流方向变化。因此，建立了非相似边界层模型，用于在非达西多孔介质中安装的水平板上的Casson纳米流体的稳定流中进行强制对流。通过使用适当的非相似变换，将描述Darcy-Forchheimer-Brinkman模型的控制方程转化为无量纲非相似模型。无量纲偏微分系统通过bvp4c通过局部非相似性进行求解。新出现的无量纲参数（即Casson参数（β），施密特数（S _c），孔隙率（ε），普朗特数（P _r），一阶多孔电阻参数（R ₁），热泳参数（N _t），二阶多孔电阻参数（R ₂），布朗氏详细研究了运动参数（N _b）和无因次速度，温度和浓度分布的无因次粘性耗散。此外，还探讨了这些参数对无量纲摩擦系数和传热速率的影响。最后，已将非相似解与本地相似解与发布的数据进行了比较。