Buoyancy effects on falkner-skan maxwellian nanofluid flow with bioconvection over a melting wedge

This research investigates the intricate thermal dynamics of Maxwellian nanofluids interacting with a sloping, porous, and heat-conductive melting surface under the influence of magnetic fields. The thermal and hydrodynamic behavior of Maxwellian nanofluids plays a significant role in optimizing heat transfer applications in engineering and industrial processes. This study aims to examine the influence of buoyancy, bioconvection on the Falkner-Skan flow of Maxwellian nanofluids over a sloping, melting surface. The analysis assumes a porous and thermally conductive wedge surface subjected to a stable magnetic field and incorporates the effects of Brownian motion, thermophoresis, and gyrotactic microorganisms. To simplify the governing equations, similarity transformations are applied, converting the partial differential equations into a set of ordinary differential equations. The resulting equations are solved numerically using MATLAB's robust bvp4c solver, ensuring validation through comparison with existing literature. The study reveals that parameters such as the magnetic field strength, Deborah number, and melting surface characteristics significantly enhance flow behavior and boundary layer thickness, whereas parameters like Prandtl number and thermophoresis diminish temperature profiles. The findings underscore the critical interplay between magnetic and thermal parameters, providing insights for improving heat management in advanced technological systems. These results have practical implications for designing efficient thermal systems in industries ranging from chemical engineering to bio-nanomaterial production.