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Magnetohydrodynamics of blood flow
Author(s) -
Keltner John R.,
Roos Mark S.,
Brakeman Paul R.,
Budinger Thomas F.
Publication year - 1990
Publication title -
magnetic resonance in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.696
H-Index - 225
eISSN - 1522-2594
pISSN - 0740-3194
DOI - 10.1002/mrm.1910160113
Subject(s) - magnetohydrodynamic drive , magnetic field , magnetohydrodynamics , mechanics , flow (mathematics) , magnetostatics , exact solutions in general relativity , hydrostatic pressure , physics , tube (container) , nuclear magnetic resonance , magnetic pressure , hydrostatic equilibrium , fluid dynamics , materials science , magnetization , quantum mechanics , composite material
The changes in hydrostatic pressure and electrical potentials across vessels in the human vasculature in the presence of a large static magnetic field are estimated to determine the feasibility of in vivo NMR spectroscopy at fields as high as 10 T. A 10‐T magnetic field changes the vascular pressure in a model of the human vasculature by less than 0.2%. An exact solution to the magnetohydrodynamic equations describing a conducting fluid flowing transverse to a static magnetic field in a nonconducting, straight, circular tube is used. This solution is compared to an approximate solution that assumes that no magnetic fields are induced in the fluid and that has led previous investigators to predict significant biological effects from static magnetic fields. Experimental results show that the exact solution accurately predicts the magnetohydrodynamic slowing of 15% NaCl flowing transverse to 2.3‐ and 4.7‐T magnetic fields for fluxes below 0.5 liter/min while the approximate solution predicts a much more retarded flow. © 1990 Academic Press, Inc.