Irreversibility Analysis of MHD Couple Stress Nanofluid Flow in a Permeable Oblique Microchannel via Hermite Wavelet Operational Matrix Method

Recent advances in microfluidics have spurred significant innovations in thermal management technologies, particularly in implementation of nanofluid-enhanced microchannel heat transfer. This study analyzes the thermodynamic irreversibilities in magnetohydrodynamic flow of couple stress nanofluids within an oblique microchannel integrated into a permeable substrate, incorporating thermal radiation effects. The governing equations, which model a microfluidic system featuring a nanofluid exhibiting microstructural effects and subjected to porous media, magnetic field, and radiative heat transfer, are rendered dimensionless and solved using the Hermite wavelet operational matrix method. Graphical analysis elucidates the parametric sensitivity of velocity, temperature entropy generation and the Bejan number, providing insights into the system’s thermodynamic performance and its optimization potential for microchannel heat transfer applications. The measures of irreverisibility within the system, quantified by entropy generation and Bejan number are diminished by an increase in the magnetic field intensity and medium’s porosity. In contrast, an augmentation in the couple stress parameter and the Brinkman number enhances both the entropy production and the Bejan number. This study advances the understanding of entropy optimized thermal management in nanofluid based magnetohydrodynamic microfluidic systems and also provides design insights for enhancing thermal performance and minimizing irreversibility.