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Dynamics of pulsatile flows through microtubes from nonlocality

Institution:	1. CEA, DEN, DANS, DM2S, SEMT, Laboratoire d’Études de Mécanique Sismique, F-91191 Gif-sur-Yvette, France;2. LMT, ENS Cachan, CNRS, Université Paris-Saclay, 61 avenue du Président Wilson, F-94230 Cachan, France;1. Division of Engineering and Applied Science, California Institute of Technology, Pasadena, CA 91125, United States;2. Department of Civil Engineering and Computer Science, University of Rome “Tor Vergata”, Via del Politecnico 1, 00133 Rome, Italy;3. Université Pierre et Marie Curie, Institut D’Alembert, UMR 7190 CNRS, 4 Place Jussieu, 75252 Paris Cedex 05, France;1. DEN-Service d''études mécaniques et thermiques (SEMT), CEA, Université Paris-Saclay, F-91191, Gif-sur-Yvette, France;2. LMT, ENS Cachan, CNRS, Université Paris-Saclay, 61 avenue du Président Wilson, F-94230 Cachan, France

Abstract:	In this paper we introduce a new notion of complexified nonlocal-in-time-space material derivative operator and we discuss its implications in fluid mechanics. After deriving the complexified fluid equations, we investigate the problem of laminar flow of a particle fluid in a microtube. We demonstrate the occurrence of pulsatile flows through microtubes in agreement with recent findings.

Keywords:	Complexified nonlocal-in-time-space material derivative operator Complexified fluid equations Laminar flow Pulsatile flows in microtubes
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