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

Abstract

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 number has 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 compare to the prior research display good accuracy and efficiency.

Two methods used for radiative micropolar nanofluid passed through a porous channel

“…As in previous work mentioned before [6], [7] AGM method suggested that answers of the ODEs can be shown as polynomial shape. In this article the assumption which gave answer suggest that:…”

“…In fig6 with increasing of Hartman number, microrotation profile raised. Interaction on nanoparticles enhances the heat and causes reduction in dynamic viscosity so that velocity will rise.…”

“…governing equation solved via numerical and semi-analytical methods. [6] Examination a rotating system by a micro-polar nanofluid between two parallel plates in the presence of magnetic and electric fields has inquired by Jalili, P., Narimisa, H., Jalili, B., & Ganji, D. D. (2023). The impacts of dimensionless parameter were discussed graphically.…”

A Comparative Study of Hybrid Analytical and Laplace Transform Approaches for Solving Partial Differential Equations in Python

“…In a recent paper by Jalili et al (18), the HPM and AGM method was used to resolve thermal problems for micro-polar nanofluids. Alternatively, Jalili et al (19) applied the HPM method to tackle problems related to the movement of a plate submerged in a Newtonian fluid examined through Caputo fractional differential equations. Jalili et al (20) also demonstrated a novel fractional analytical approach to solve time-space fractional equations from oil pollution analysis using HPM.…”

The HAN method for a thermal analysis of forced non-Newtonian MHD Reiner-Rivlin viscoelastic fluid motion between two disks

“…Kumar et al [ 48 ] studied the flow, heat transfer of three-dimensional unsteady non-Newtonian Ternary hybrid nano-fluid flow with the presence of magnetic field and thermal radiation. Also, many researchers have researched analytical methods [ [49] , [50] , [51] , [52] , [53] , [54] ] (see Table 1 , Table 2 , Table 3 , Table 4 ).…”