Transportation of ferrofluid due to non-uniform magnetic force through a curved permeable container

Ferrohydrodynamic impact was applied in the current article to intensify the convection of nanomaterial. There is one wire near the elliptic wall and the wavy wall is maintained at cold temperature. The experimental-based correlations were utilized to model the role of nanofluid. After removing the pressure term with definition of vorticity, CVFEM was incorporated for modeling. A blend of Fe3O4 and water was used as the testing fluid. The correctness of code was checked by comparing with a previous article. The mathematical modeling had good agreement. The power of FHD near the wire has greater value. Applying stronger Mn-F makes the isotherm more complicated and thermal plume is generated. Also, the primary vortex turns into two stronger eddies. Higher gravity force makes the velocity of the nanofluid to increase and the temperature of the elliptic wall declines with the rise of Mn-F. With intensification of Mn-F, the highest temperature of the domain declines about 33.3%. Nu inceases about 6.08%, 12.19% and 74.76% with increase of Ra, phi and Mn-F.

Automated summary

Ferrohydrodynamic impact was used in this study to enhance the convection of nanomaterials. A mathematical model was developed based on experimental correlations and compared with previous research. Increasing the Mn-F value resulted in more complex isotherms and generated thermal plumes. The velocity of the nanofluid increased and the temperature of the elliptic wall decreased with higher gravity force. The highest temperature in the domain decreased with the intensification of Mn-F.