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has been cited by the following article:

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

  AUTHORS: Agnès Drochon, Manon Beuque, Dima Abi-Abdallah Rodriguez

  KEYWORDS: Magnetohydrodynamic Flow of Blood, Magnetic Field in Biomedical Applications, Hartmann, Womersley

  JOURNAL NAME: Applied Mathematics, Vol.9 No.10, October 30, 2018

  ABSTRACT: A short review of some reference solutions for the magnetohydrodynamic flow of blood is proposed in this paper. We present in details the solutions of Hartmann (1937), of Vardanyan (1973) and of Sud et al. (1974). In each case, a comparison is provided with the corresponding solution for the flow without any external magnetic field, namely Poiseuille (plane or cylindrical) and Womersley. We also present a synopsis of some other solutions for people who would like to go further in this topic. The interest in MHD flow of blood may be motivated by many reasons, such as Magnetic Resonance Imaging (MRI), Pulse Wave Velocity measurement, magnetic drug targeting, tissue engineering, mechanotransduction studies, and blood pulse energy harvesting… These fundamental solutions should also be used as particular limiting cases to validate any proposed more elaborated solutions or to validate computer codes.