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Characterization of the pressure drop in a 2D symmetrical pipe: Some asymptotical, numerical, and experimental comparisons
Author(s) -
Lagrée P.Y.,
Berger E.,
Deverge M.,
Vilain C.,
Hirschberg A.
Publication year - 2005
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200410160
Subject(s) - pressure drop , solver , computation , boundary layer , mathematics , mechanics , flow (mathematics) , drop (telecommunication) , asymptotic analysis , stokes flow , characterization (materials science) , navier–stokes equations , mathematical analysis , simple (philosophy) , physics , geometry , mathematical optimization , computer science , compressibility , algorithm , philosophy , epistemology , optics , telecommunications
The flow in a rigid model of vocal folds is numerically solved with a Navier Stokes solver (Castem) and with two asymptotic models of the flow (Interacting Boundary Layer theory and a Reduced Navier Stokes theory). Numerical results are very close, showing that asymptotic models are useful to analyse and solve the flow. From computations, we propose a simple formula predicting the pressure drop along the constriction and we compare it to experimental measurements.