This article addressees the dynamics of fluid conveying tinny particles and Coriolis force effects on transient rotational flow toward a continuously stretching sheet. Tiny particles are considered due to their unusual characteristics like extraordinary thermal conductivity, which are significant in advanced nanotechnology, heat exchangers, material sciences, and electronics. The main objective of this comprehensive study is the enhancement of heat transportation. The governing equations in three dimensional form are transmuted in to dimensionless two-dimensional form with implementation of suitable scaling transformations. The variational finite element procedure is harnessed and coded in Matlab script to obtain numerical solution of the coupled non-linear partial differential problem. It is observed that higher inputs of the parameters for magnetic force and rotational fluid cause to slow the primary as well as secondary velocities, but the thermophoresis and Brownian motion raise the temperature. However, thermal relaxation parameter reduces the nanofluid temperature. The velocities for viscosity constant case are faster than that for the variable viscosity, but temperature and species concentration depict opposite behavior.

本文探讨了流体传送细小颗粒的动力学和科里奥利力对朝向连续拉伸片材的瞬时旋转流的影响。微小的颗粒由于其不寻常的特性（如非凡的导热性）而被认为是非常重要的，这在先进的纳米技术，热交换器，材料科学和电子学中都很重要。这项全面研究的主要目的是增强热传输。通过实施适当的缩放变换，将三维形式的控制方程式转换为无量纲二维形式。在Matlab脚本中利用变分有限元程序进行编码，以获得耦合非线性偏微分问题的数值解。可以观察到，磁力和旋转流体的参数输入较高会导致初级和次级速度变慢，但是热泳和布朗运动会升高温度。然而，热弛豫参数降低了纳米流体的温度。恒定粘度情况下的速度比可变粘度情况下的速度快，但是温度和物质浓度却表现出相反的行为。