An implantable artificial heart apparatus which has no moving parts. It employs the technology of magnetohydrodynamics (MHD) to induce flow of human blood. An MHD propulsion unit is a device which applies magnetic and electric fields to blood to propel the conductive fluid through the body's circulatory system. Electricity is passed through the blood via electrodes at the same junction where the blood is exposed to the magnetic field. Charged ions that move from anode to cathode create their own corresponding magnetic fields which are either attracted or repelled by the externally applied magnetic field. The result is propulsion in a uniform direction with the moving ions, in effect, dragging fluid molecules with them. A single MHD propulsion unit performs the combined functions of the atrium and the ventricle of the human heart. Two MHD propulsion units are required to perform the full cardiac cycle of the heart, one to pump unoxygenated blood through the lungs and one to pump oxygenated blood through the body's circulatory system.