Abstract
•Nanomaterial regarding the magnetic force has been provided.•The chamber is filled with Fe3O4-H2O.•Exergy loss declines with augment of Da.•Isotherm become more convey with augment of Da.
The treatment of nanomaterial regarding the magnetic force has been provided in current paper. The chamber is filled with Fe3O4-H2O. Comprehensive discussion about impact of Lorentz force on irreversibility has been involved. New numerical approach was employed to obtain the outcomes of vorticity form equations. Nu augments when magnitude of permeability improves and to reach the highest impact of Da, Lorentz force should be reduced while Ra should have maximum value. In contrast, exergy loss declines with augment of Da which illustrates the lower surface temperature with increasing permeability. Direct relationship exist between Be and Hartmann. Thus, share of thermal Sgen augments with augment of Ha. Isotherm become more convey with augment of Da.