Jacobi wavelet based numerical method for the solution of dusty Williamson radiated fluid flow in Darcy-Forchheimer medium with activation energy and entropy generation

Analysis of a dusty fluid flow with different physical aspects plays significant role in engineering, nuclear, biomedical, and industrial fields due to their thermal characteristics and potential advantages in improving the rate of heat transfer. Therefore, the present study focusses on the analysis of the dusty Williamson fluid flow over a stretching sheet in Darcy-Forchheimer medium with Soret, Dufour, nonlinear radiation, activation energy effects and entropy generation analysis. The present study has numerous applications in many disciplines such as food processing, petroleum industries, purification, powder technology, atmospheric fallout, geophysics, etc. The Jacobi wavelet based numerical method has been developed for the solution of typical nonlinear system of ordinary differential equations arising in this study. The proposed method is validated by comparing the results of test problem having exact solutions with the results obtained by Runge-Kutta Fehlberg fourth-fifth order method and also by comparing the solution of the considered dusty fluid problem obtained for some fixed parameters with the previously published results. The effects of various factors on the flow behavior and entropy generation are examined. It is inferred that the Local inertia and Willamson fluid parameters declines the velocity. Soret number declines the temperature and improve the concentration and the reverse effect is noticed for Dufur parameter. Activation energy and chemical reaction parameter escalates the concentration. Brinkman number and magnetic parameter enhances the entropy generation and decelerates the Bejan number. The proposed method is reliable, efficient, and powerful tool to solve the differential equations.