A novel analytical approach to micro-polar nanofluid thermal analysis in the presence of thermophoresis, Brownian motion and Hall currents

The present study analyzed micro-polar nanofluid in a rotating system between two parallel plates with electric and magnetic fields. The fluid flow study was performed in a steady state. The governing equations of the present issue are considered coupled and nonlinear equations with proper similar variables. Numerical and new semi-analytical methods have been employed to solve the problem to define the exactness of the results. The influence of physical parameters governing the problem is investigated and illustrated in detail in the diagram. Results show that velocity profile and micro-rotation velocity increased when the magnetic parameter increased. Furthermore, the velocity is increased by increasing the rotation parameter. Also, in the case of the temperature profile, the Reynolds and Schmidt numbers have an inverse effect, and Prandtl number and Brownian motion have a direct effect. Other results indicate that concentration value declines by increasing the thermophoretic parameter and Reynolds number. Results compared to the prior research display good accuracy and efficiency. The study demonstrates that the method provides quantifiable reliable outcomes while requiring less computing work than conventional techniques. This method offers significant advantages in terms of simplicity, applicability, computational efficiency and accuracy.

Automated summary

This study analyzed a micro-polar nanofluid in a rotating system with electric and magnetic fields. The results showed that increasing the magnetic parameter led to an increase in velocity and micro-rotation velocity. Additionally, the velocity increased with increasing rotation parameter. The temperature distribution was affected by the inverse relationship between Reynolds and Schmidt numbers, as well as the direct effect of Prandtl number and Brownian motion. Furthermore, concentration value decreased with an increase in the thermophoretic parameter and Reynolds number. The study demonstrated the accuracy and efficiency of the method used.