Abstract
Due to the important application of magnetohydrodynamic in cancer tumor treatment, magnetic drug targeting, magnetic endoscopy, magnetic devices for cell separation, fluid pumping in industrial and engineering developments, and adjusting blood flow during surgery. Therefore, we investigate the relative magnetic field analysis of the two-phase fluctuating flow of Casson dusty fluid over a parallel plate. More exactly, the relative magnetic phenomena are fixed relative to the fluid (MFFRF) or fixed relative to the plate (MFFRP). Moreover, the entropy generation and Bejan numbers analysis are also considered for both MFFRF and MFFRP. The mathematical modeling was established as the set of partial differential equations for dusty Casson fluid. Buckingham's pi theorem is used to find out the dimensionless variables, to make our system dimensionless. The perturb solution is to find out by incorporating Poincare-Lighthill perturbation technique. To know in-depth different parameters, the graphical results for both velocities are plotted with the help of Mathcad-15 software. It is observed that the relative magnetic field plays an important role in the fluid as well as particle motion. The relative magnetic field is affecting the entropy generation as well as the Bejan number. This study will help out in the adjusting of blood flow during surgery and fluid pumping in industrial and engineering process.