Empirical Development of Entropy Generation in Bingham Plastic Fluid with Peristaltic Propulsion

This study investigates entropy generation in Peristaltic transport of a non-compressible Bingham plastic nanofluid through a symmetric channel, accounting for the impact of buoyancy forces and thermodynamic irreversibility. By applying the long wavelength and low Reynolds number approximations, the governing nonlinear ordinary differential equations are derived and solved numerically using MATLAB's in-built bvp4c solver. A parametric sensitivity analysis is performed using Response Surface Methodology (RSM), where the Bingham number (Bn), Brinkman number (Br), and Grashof number (Gr) are considered as input parameters, the entropy generation number (EG) is used as the output answer. The RSM model demonstrates excellent predictive capability, with a coefficient of determination (R2) of 99.95% and an adjusted R2 of 99.90%. Analysis of Variance (ANOVA) validates the statistical significance of the model and reveals that the Brinkman number (Br) is the most influential parameter affecting entropy generation.