Heat transfer to liquid lithium in a straight duct in the presence of a transverse magnetic field and a gravity field

Heat transfer to liquid lithium in the presence of a transverse magnetic fi eld and a gravity field was analyzed in a square cross-section duct. The du ct had conducting vanadium walls. Magnetohydrodynamic equations in three di mensions in the Cartesian coordinate system were solved First, the Nusselt number was calculated with no magnetic field and a gravity field Second, th e Nusselt number was calculated for the case of a transverse magnetic field acting on the fluid. Third, the Nusselt number was calculated for the case of a transverse magnetic field and a gravity field acting on the fluid Onl y one face of the channel was heated It was found that the Nusselt number i s not sensitive to application of a gravity field and is sensitive to appli cation of a transverse magnetic field and it decreases when a transverse ma gnetic field is applied. It is observed that when the intensity of the tran sverse magnetic field reaches 0.11 T, further reduction in the value of the Nusselt number almost stops.