Current modeling is presented to simulate the impression of magnetic forces and radiation of cooling of sheet. The testing fluid is mixture of copper oxide and H2O and due to low fraction, homogeneous model was imposed. Terms of radiation and magnetic were involved in energy and momentum equations. After converting the partial equation to final forms, RK4 was implemented to find the solution. Outputs were illustrated in view of profiles. Impose of Lorentz force can decline the f and increase the θ. Such forces prevent the nanomaterial to migrate and temperature boundary layer augments. Value of f declines about 6.4% with augment of M. Impact of λ on profiles augments as η increases. θ reduces about 78.79% but f augments about 131.8% when η = 2. Rise of temperature was result of increasing Rd become more obvious as η augments and influence of n on θ is opposite of that of Rd. Cf rise about 199.2% with rise of M when λ = 0.1 and it reduces about 53.97% with augment of λ when M = 12. Thinner boundary layer appears with rise of λ which provide greater Nu. At M = 12, Nu augments about 49.37% with rise of λ. Inclusion of magnetic force makes Nu to reduce about 27.25% when λ = 0.1. Nu declines about 64.75% with augment of Rd owing to reduction of temperature gradient. As n augments, Nu rise about 206.37% in absence of magnetic field.