Characterization of the pressure drop in a 2D symmetrical pipe: Some asymptotical, numerical, and experimental comparisons

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.