Pulsed magnetohydrodynamic blood flow in a rigid vessel

Effects of static magnetic field exposure on blood flow

“…A generic expression of the velocity profile can be formulated as a sum over the Fourier coefficients of the pressure gradient g k , as done by Abi Abdallah et al [19]:…”

“…This formula can be used for any periodic time-dependent pressure gradient, like for example a realistic arterial gradient derived from a windkessel lumped model as in [19].…”

“…More recent studies have been essentially based on these founding works, such as the study of Keltner et al [7], where a comparison was established between the results of Gold and Vardanyan to assess the consequences of neglecting the inductions. With the same hypothesis as Vardanyan, Sud et al [18] later dealt with a sinusoidal pressure gradient to describe the pulsed nature of blood flow in arteries, and recently, Abi Abdallah et al [19] proposed a more realistic arterial flow solution using a physiological pressure gradient model. Both solutions, however, assumed the arteries to be rigid vessels.…”