In this article, the mathematical model has been established to discuss the double stratified Darcy – Forehheimer steady flow of radiative Maxwell fluid over a vertical stretching sheet. Investigation of thermal energy and concentration are carried out in the occurrence of Cattaneo – Christov theory and activation energy effect. Moreover, the gyrotactic microorganism is used to study bio-convection influenced by buoyancy forces. The governing equations of flow models are transformed into nonlinear ordinary differential equations by using appropriate transformation. The manipulation of subsequent non-linear equations is determined numerically by bvp4c Matlab technique. The impact of different emerging parameters is discussed through graphs. It is viewed that for greater values of Forehheimer number (Fr) and porosity parameter (λ) the momentum boundary layer becomes thicker, hence the velocity profile decline. Furthermore, for the larger values of radiation parameter Rd the surface flux becomes larger, which increases the temperature. The microorganism transfer rate is examined by tabulating data. It is noted from the tabulated date that for different values of β and Fr the microorganism number shows decreasing behavior.

在本文中，已经建立了数学模型，以讨论辐射麦克斯韦流体在垂直拉伸片材上的双重分层达西－福尔海姆稳定流。在Cattaneo-Christov理论和活化能效应的发生中进行了热能和浓度的研究。此外，旋涡型微生物用于研究浮力影响下的生物对流。通过适当的变换，将流动模型的控制方程转化为非线性常微分方程。后续非线性方程的操作由bvp4c Matlab技术以数值方式确定。通过图形讨论了不同新兴参数的影响。人们认为，对于更大的Forehheimer数（Fr）和孔隙度参数（λ）时，动量边界层变厚，因此速度分布下降。此外，对于较大的辐射参数Rd值，表面通量变大，这会升高温度。通过将数据制成表格来检查微生物的转移率。从列表日期开始注意到，对于不同的β和Fr值，微生物数目显示出减少的行为。