Non-Fourier relation elucidates conduction of heat subjected to finite thermal wave proliferation speed whereas non-Fick relation reports anomalous diffusion differing from orthodox Fickian conduct. Their applications encompass the modeling of heat-mass transference in biological tissues, environmental engineering and micro/nanoscale systems. These models improve prediction precision in heterogeneous, complex or non-equilibrium environments. Here an attempt is made to model Darcy-Forchheimer dual convected viscoplastic material flow confined by stratified slippery surface. Modeling is based on magnetohydrodynamics, thermal stratification, temperature-dependent conductivity, temperature-dependent diffusivity, chemical reaction and solutal stratification. Deploying similarity variables, the nonlinear coupled complex partial differential expressions are transfigured into a system of coupled ordinary differential expressions. This process streamlines the problem, making it more convenient and assisting the utilization of numerical schemes to solve the simplified differential system. This system is then computed numerically deploying bvp4c algorithm. The outcomes related to drag force are derived and compared with previously reported findings in the existing literature. The comparison demonstrates a high level of agreement between the results obtained in this study and those from prior research. This study provides a comprehensive inspection of specific parameters and their characteristics on concentration, velocity and temperature. Results show that the Hartman number, inertia coefficient parameter, Casson parameter, porosity parameter and velocity slip parameter reduce Casson fluid velocity while reverse scenario is witnessed for mixed convection parameter. Besides the concentration distribution is an escalating function of Hartman number, solutal ratio, mass diffusivity and chemical reaction parameters whereas a reducing trend is found for solutal relaxation time, power index, solutal stratified parameters and Schmidt number.

中文翻译：

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当速度滑移、非达西孔隙率和分层效应显着时，在粘塑性材料中部署新型通量的热溶质输运分析


非傅里叶关系阐明了有限热波扩散速度下的热传导，而非菲克关系则报告了与正统菲克行为不同的反常扩散。它们的应用包括生物组织、环境工程和微/纳米系统中热质传递的建模。这些模型提高了异构、复杂或非平衡环境中的预测精度。这里尝试对受分层滑表面限制的 Darcy-Forchheimer 双对流粘塑性材料流进行建模。建模基于磁流体动力学、热分层、温度相关的电导率、温度相关的扩散率、化学反应和溶质分层。利用相似变量，将非线性耦合复偏微分表达式转化为耦合常微分表达式系统。这一过程简化了问题，使其更加方便，并有助于利用数值格式来求解简化的微分系统。然后使用 bvp4c 算法对该系统进行数值计算。得出与阻力相关的结果，并将其与现有文献中先前报告的结果进行比较。比较表明本研究获得的结果与先前研究的结果高度一致。这项研究对特定参数及其在浓度、速度和温度方面的特性进行了全面检查。结果表明，Hartman数、惯性系数参数、Casson参数、孔隙率参数和速度滑移参数降低了Casson流体速度，而混合对流参数则出现相反的情况。 此外，浓度分布是哈特曼数、溶液比率、质量扩散率和化学反应参数的递增函数，而溶液弛豫时间、功率指数、溶液分层参数和施密特数则呈递减趋势。