Abstract
The movement of a conducting fluid, such as the blood, in an externally applied magnetic field, is governed by the laws of magnetohydrodynamics (MHD). When the body is subjected to a magnetic field, as it is the case in magnetic resonance imaging (MRI), the charged particles of the blood get deflected by the Lorentz force thus inducing electrical currents and voltages across the vessel walls and in the surrounding tissues. These voltages disturb the electrocardiogram (ECG) detected at the surface of the thorax, making the ECG-based image synchronization process inaccurate [1]. In a previous work [2], we studied the magnetohydrodynamic flow of blood in a straignt rigid circular vessel with nonconducting walls, in the presence of a transverse constant magnetic field. By negleting induced fields, we solved the time dependent magnetohydrodynamic equation,
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