Thermodynamic analysis of mixed convective peristaltic propulsion of MoS₂ nanomaterials in H₂O-(CH₂OH)₂ hybrid base liquid with variable thermophysical characteristics

The present mathematical model endeavors to undertake a rigorous thermodynamic analysis concerning the peristaltic transport of a $${\mathrm{MoS}}_2/{{\mathrm{C}}}_2{{\mathrm{H}}}_6{{\mathrm{O}}}_2 - {{\mathrm{H}}}_2{\mathrm{O}}$$ (50%–50%) nanofluid having variable thermophysical characteristics. The analysis takes into account important aspects, such as nanoparticles geometries, mixed convection, variable thermal conductivity, an induced magnetic field (IMF), a porous medium, and variable viscosity. The investigation also explores the role of entropy generation in the context of thermodynamics and heat transfers, aiming to detect and mitigate system inefficiencies and irreversibility. The novelty of the present study is to explore a thermodynamic analysis for the peristaltic transport of an incompressible nanofluid containing $${\mathrm{MoS}}_2$$ nanomaterials within a $${{\mathrm{C}}}_2{{\mathrm{H}}}_6{{\mathrm{O}}}_2 - {{\mathrm{H}}}_2{\mathrm{O}}$$ (50%–50%) hybrid base fluid flowing through a symmetric channel. To simplify the governing transport equations, the lubrication approach is employed, leading to a system of nonlinear equations that are numerically solved. Notably, the research underscores the potential to minimize entropy generation by increasing the thermal conductivity parameter. Furthermore, the study reveals that the Bejan number exhibits a declining trend as the permeability parameter reaches higher values. An intensification in the magnetic Reynolds number is found to enhance the magnitude of the axial-induced magnetic field along the channel wall, reflecting the impact of magneto-hydrodynamic interactions within the nanofluid. Lastly, the research shows that spherical-shaped nanoparticles result in the highest nanofluid flow, while platelet-shaped nanoparticles lead to the lowest flow, highlighting the significant influence of nanoparticle geometry on fluid dynamics in the nanofluid.