Thermo-fluid dynamics of Cu-H2O casson fluid in an H-shaped enclosure with Corrugated cylinders: A study of entropy generation, MHD, and radiation effects

This study investigates the thermo-fluid dynamics of Cu-H2O Casson fluid in an H-shaped enclosure with corrugated cylinders, examining entropy generation, MHD, and radiation effects. The governing equations were solved numerically using the finite element method with Galerkin's weighted residual technique. The analysis explored various parameters including Rayleigh number (103-106), nanoparticle concentration (0-0.15), Casson parameter (0.1-1), radiation parameter (0-4), Hartmann number (0-40), magnetic field inclination angle (0 degrees 90 degrees), buoyancy ratio (0.25-1.5), and Lewis number (0.5-5). Results demonstrated that increasing Ra to 106 with phi=0.15 enhanced heat transfer by 140%, while higher Casson parameter values (eta=1.0) improved circulation intensity by 40% compared to eta=0.1. The magnetic field showed significant control over flow characteristics, with Ha=40 reducing circulation strength by 45% compared to Ha=0. Combined radiation and thermal conductivity effects (Rd=4, lambda=4) resulted in 30% more uniform temperature distribution. The Lewis number and buoyancy ratio significantly influenced mass transfer, with Sherwood number increasing by 300% at higher Le values. These findings provide valuable insights for designing efficient thermal management systems with applications in electronic cooling and heat exchanger optimization.