Analysis of Regression and Correlation of Entropy Generation of Nanofluid in the MHD Peristaltic Flow

Abstract

This study presents the mathematical model of entropy generation on MHD peristaltic wave of Nanofluid. The governing equations have been developed by the assumption of low Reynold’s number and long wavelength approximation. The analytical solution has been obtained with the help of perturbation method. The expression of temperature profile, pressure distribution and friction forces are presented graphically for some significant parameters. Further, the results of correlation and regression between the entropy generation and some other parameters have been plotted. It is very important to find the sensitivity of each parameter on entropy generation. Findings of regression analysis show that 81% of the variability of entropy generation for magnetic parameter, 99% of the variability of entropy generation for Brownian motion parameter, 40% of the variability of entropy generation for Thermophoresis parameter and 100% of the variability of entropy generation for Brinkmann is accounted for by the variable Iv. Similarly, a decrease of 2.562 in entropy generation for the various values of the independent variable Magnetic parameter, an increase of 2.029 in entropy generation for the values of Brownian motion, an increase of 6.307 in entropy generation for Thermophoresis and 68.492 in entropy generation scores for Brinkmann on every one-unit increase in Iv.