Effect of Magnetic-Field Modulation on the Instability of Micropolar Nanofluid Filled Within Hele-Shaw Cell

The present work uses both nonlinear and linear methods to investigate how the instability of micropolar nanofluid inside Hele-Shaw cells is affected by magnetic field modulation. For nonlinear stability, the truncated Fourier series methodology is utilised, while for linear stability, the normal mode method is employed for analytical study. The results are all represented graphically. The findings show that the system is stabilised by the micropolar parameter, magnetic Chandrasekhar number, Hele-Shaw number, and the coefficient of coupling between vorticity and spin effect. Contrarily, The beginning of convective motion inside the system is accelerated by the nanoparticle Rayleigh number. Certain parameters have a major impact on the heat/mass transfer in non-linear analysis. The system’s mass transfer (MT) and heat transfer (HT) are significantly influenced by the magnetic Chandrasekhar number, micropolar parameter, Hele-Shaw number, and magnetic Prandtl number. In microfluidic applications, Hele-Shaw cells can be designed to study heat/mass transfer at small scales. The cell can be employed to investigate convective heat transfer.