Entropy Generation and Heat Transfer Computations of Transient Williamson Hybrid Nanofluid Flow through a Porous Microchannel with Hall and Ion-Slip Effects

Description of Each Code File Skin_Friction_and_Nusselt.nb Runs parametric sweeps of the BSCM solver to compute tabulated values of primary and secondary skin friction coefficients and the Nusselt number for varying flow parameters. Generates the numerical comparison tables reported in the paper. Bar_Chart_Comparison.nb Contains embedded numerical data for velocity profiles from the present BSCM results and two independent literature sources (Manthesh et al. and Gireesha et al.), and produces the bar chart validation figure confirming agreement with existing results. Convergence_Rate.nb Runs the BSCM solver at increasing collocation node counts and computes the residual norms of all three governing equations, verifying spectral convergence. Produces the convergence table and plot reported in the paper. Software RequirementsWolfram Mathematica version 14.1 or later (all .nb files were created with Mathematica 14.1/14.3 under Wolfram Enterprise licensing).No additional packages are required beyond Mathematica's built-in FindRoot, LinearSolve, and plotting functions.