Thermomagnetic convection of air in a cubic enclosure with an electric coil inclined around the X axis was numerically investigated under nongravity and gravity environment.The cubic enclosure was heated isothermally from left-hand side vertical wall and cooled isothermally from the opposite wall while the other four walls were thermally insulated.Biot-Savart’s law was used to calculate magnetic field.The governing equations in primitive variables were discretized by the finite-volume method and solved by the SIMPLE algorithm.Computations were performed in a range of the inclination angle of coil xeuler from -90° to 90°

and magnetic force parameter γ from 0 to 200.The flow and temperature fields for the air thermomagnetic convection were presented and mean Nusselt numbers on the walls were calculated and compared.The results show that both the magnetic force and the coil inclination have significant effect on the flow field and heat transfer in a cubic enclosure.The overall heat transfer is enhanced gradually with the increase of γ.Under the zero gravity environment

the resulted convection is symmetrical in terms of the angle at xeuler=45° when the range of inclination angle is from 0° to 90°.The coil inclination changes the average Nusselt number and a local maximum is obtained at xeuler=45° for every case.Local minima are obtained at xeuler=0°

90°

etc. Values of the average Nusselt number appear periodically with period 90° in the inclination angle.Under the gravity environment

the resulted convection is symmetrical in terms of the angle at xeuler=0°

90° when the range of inclination angle is from -90° to 90°.Values of Num appear periodically with period 180° in the inclination angle.The coil inclination changes Num and a local maximum is obtained at xeuler=45° for every case.