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A Review of Some Reference Analytic Solutions for the Magnetohydrodynamic Flow of Blood

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Document pages: 14 pages

Abstract: A short review of some reference solutions for the magnetohydrodynamicflow of blood is proposed in this paper. We present in details the solutions ofHartmann (1937), of Vardanyan (1973) and of Sud et al. (1974). In each case,a comparison is provided with the corresponding solution for the flow withoutany external magnetic field, namely Poiseuille (plane or cylindrical) andWomersley. We also present a synopsis of some other solutions for peoplewho would like to go further in this topic. The interest in MHD flow of bloodmay be motivated by many reasons, such as Magnetic Resonance Imaging(MRI), Pulse Wave Velocity measurement, magnetic drug targeting, tissueengineering, mechanotransduction studies, and blood pulse energy harvesting…These fundamental solutions should also be used as particular limitingcases to validate any proposed more elaborated solutions or to validate computercodes.

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