A Comprehensive investigation is conducted on transient magnetohydrodynamics boundary layer flow of non-Newtonian micropolar hybrid nanofluid (Fe${}_3$O${}_4$-Ag) immersed with conducting micrometer homogeneously sized dust nanoparticles within a stretching sheet adjacent to prescribed surface temperature (PST) and prescribed heat flux (PHF) cases is presented. The mathematical model is formulated then the convenient similarity transformations are implemented on the governing PDEs to get dimensionless system. The non-dimensional flow governing equations have been solved by help of the builtin MATLAB approach named as bvp4c which represents a finite difference method. The outcomes for variant emerging parameters for both micropolar hybrid nanofluid and dust phases are evaluated and provided throughout graphical forms, tables then argued in detail. Authentication of the gained computations is given by comparing with earlier published data. Enhancement in thermal relaxation strengthens temperature variation in both micropolar hybrid nanofluid and dust phases.

对非牛顿微极性混合纳米流体（Fe）的瞬变磁流体动力学边界层流动进行了全面研究${}_3$Ø${}_4$-Ag）浸没在拉伸薄板内与规定的表面温度（PST）和规定的热通量（PHF）相邻的导电微米级均匀尺寸的粉尘纳米颗粒中。建立数学模型，然后在控制的PDE上进行方便的相似性转换，以获得无量纲的系统。借助名为bvp4c的内置MATLAB方法（表示一种有限差分方法），已解决了无量纲流动控制方程。对微极性混合纳米流体和粉尘相的各种新兴参数的结果进行了评估，并以图形形式提供，然后详细讨论了表格。通过与早期发布的数据进行比较，可以对所获得的计算进行认证。