title: Pulsed magnetohydrodynamic blood flow in a rigid vessel under physiological pressure gradient.
abstract: Blood flow in a steady magnetic field has been of great interest over recent years. Many researchers have examined the effects of magnetic fields on velocity profiles and arterial pressure, and major studies have focused on steady or sinusoidal flows. In this paper, we present a solution for pulsed magnetohydrodynamic blood flow with a somewhat realistic physiological pressure wave obtained using a Windkessel lumped model. A pressure gradient is derived along a rigid vessel placed at the output of a compliant module which receives the ventricle outflow. Then, velocity profile and flow rate expressions are derived in the rigid vessel in the presence of a steady transverse magnetic field. As expected, results showed flow retardation and flattening. The adaptability of our solution approach allowed a comparison with previously addressed flow cases and calculations presented a good coherence with those well established solutions.
authors.affiliation: Biomechanics and Bioengineering, University of Technology of Compiègne, Compiègne, France. dima.abi-abdallah@u-psud.fr
authors.forename: Dima
authors.initials: D
authors.lastname: Abi-Abdallah
authors.forename: Agnès
authors.initials: A
authors.lastname: Drochon
authors.forename: Vincent
authors.initials: V
authors.lastname: Robin
authors.forename: Odette
authors.initials: O
authors.lastname: Fokapu
mesh_terms: D001698:Biomedical Engineering; D001783:Blood Flow Velocity / Q000502:physiology; D001794:Blood Pressure / Q000502:physiology; D001808:Blood Vessels / Q000502:physiology; D003198:Computer Simulation; D004548:Elasticity; D005583:Fourier Analysis; D006801:Humans; D008279:Magnetic Resonance Imaging / Q000009:adverse effects; D008280:Magnetics; D008955:Models, Cardiovascular; D011673:Pulsatile Flow / Q000502:physiology*