In this paper we study some fluid-dynamical model applicable to blood vessel dynamics. In particular, we adopt a second-gradient theory which is more suitable to consider curvature effects on the boundary and/or effective length (as in the paper of Fried and Gurtin [8]). We discover that, in order to generalize the classical Stokes ow in a pipe, some special cylindrical functions (the so-called Lommel functions) need to be introduced.
Marzocchi, A., Tomasoni, S., Nuovi modelli per la fluidodinamica del sangue, Paper, in Problemi Ekonomiki I Informatisazii Obrasovanja, (Tula, Russia, 08-23 April 2015), Tulskij Institut Ekonomiki I Informatiki, Tula 2015: 462-478 [http://hdl.handle.net/10807/67213]
Nuovi modelli per la fluidodinamica del sangue
Marzocchi, Alfredo;
2015
Abstract
In this paper we study some fluid-dynamical model applicable to blood vessel dynamics. In particular, we adopt a second-gradient theory which is more suitable to consider curvature effects on the boundary and/or effective length (as in the paper of Fried and Gurtin [8]). We discover that, in order to generalize the classical Stokes ow in a pipe, some special cylindrical functions (the so-called Lommel functions) need to be introduced.
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