Abstract
We consider a fully developed time-periodic pipe flow (Poiseuille flow) for some classes of fluids (micropolar fluids, mixtures of fluids). Such physical cases lead to a parabolic system in which the pressure gradient Γ is a time-periodic function with either only one non vanishing component or the components proportional to a single time-periodic function Γ. For such situations we generalize the results of [7] concerning the Newtonian case.
Keywords: Flow in a pipe, Time-periodic Poiseuille flow, Micropolar fluids, Mixtures of fluids
Mathematics Subject Classification (2000): 76D03, 76A05, 76T05, 35Q30
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An erratum to this article is available at http://dx.doi.org/10.1007/s11565-007-0033-x.
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Borrelli, A., Patria, M.C. Time-periodic Poiseuille flow in a pipe for some classes of fluids. Ann. Univ. Ferrara 53, 13–28 (2007). https://doi.org/10.1007/s11565-007-0002-4
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DOI: https://doi.org/10.1007/s11565-007-0002-4