Optoelectronic application of Chebyshev spectral collocation method for solving the MHD nanofluid flow and heat transfer induced by a convectively heated stretching sheet

The current work presents an investigation into the flow and heat transfer (HT) characteristics of a slippery nanofluid over a permeable stretched sheet, influenced by magnetohydrodynamic phenomena. Taking into consideration thermal radiation, viscous dissipation, and convective boundary conditions (CBCs), our analysis systematically formulates conservation principles for mass, heat, momentum, and nanoparticle concentration. Through mathematical formulation, a nonlinear system of ODEs is derived from the governing nonlinear partial differential equations (PDEs). To address these challenges, we use the Chebyshev spectral collocation method (SCM) as a key component of our solution strategy. Graphical representations illustrate the solutions across varying physical parameters. Despite the significant industrial and scientific importance of nanofluids, there remains a notable gap in research regarding the combined effects of viscous dissipation, thermal radiation, and CBCs on heat and mass transfer, particularly in conjunction with a permeable linear rough stretched sheet. The novelty of the research is to bridge this gap by providing quantitative insights into these complex phenomena, thereby contributing to understand nanofluid dynamics and its practical implications more deeply. Increasing slip velocity and magnetic parameters decrease the boundary layer thickness of the velocity profile but increase it for the temperature profile. This indicates a complex interaction between slip velocity and magnetic effects on velocity boundary layers, while the temperature boundary layer responds differently, revealing distinct thermal dynamics in the system.