This mathematical structure is modeled to explore the magnetic dipole and thermal radiation effects on the magnetically driven squashed flow of a ferrofluid. The flow is subjected to a Darcy–Forchheimer sensor medium placed in superficially free stream. Squashed flow in sensor surface is characterized by Darcy–Forchheimer relation. The fluid viscosity and thermic conductivity are presumed to be vary with temperature variation. The originated structure of complex equations is highly intricate, so a combination of significant parameters is subjected to attain the dimensionless equations. The developed equations are then resolved numerically to find the converging solutions. The consequences of related parameters on the profiles of temperature and velocity are deliberated and presented through graphs. For the present geometry, the flow behavior analysis of ferrofluid has made through stream lines. The significant findings of current investigation are as follows: Both Nusselt number and local shear stress are seemed to increase for rise in magnetic parameter and squashing velocity; influence of squeezed flow index \( b \) on temperature and velocity curve is inconsistent.

对这种数学结构进行建模，以研究磁偶极子和热辐射对铁磁流体的磁驱动挤压流动的影响。流动流经放置在表面自由流中的Darcy–Forchheimer传感器介质。传感器表面的挤压流动由达西-福希海默关系表征。假定流体粘度和热导率随温度变化而变化。复杂方程的起源结构非常复杂，因此要对重要参数进行组合才能获得无量纲方程。然后对所开发的方程进行数值求解，以找到收敛解。讨论了相关参数对温度和速度分布的影响，并通过图形表示。对于目前的几何图形，通过流线对铁磁流体的流动行为进行了分析。当前研究的主要发现如下：随着磁参数和压扁速度的提高，Nusselt数和局部剪应力似乎都增加了。挤压流动指数的影响\（b \）在温度和速度曲线上不一致。