The influence of glottal cross-section shape on theoretical flow models.
Physical and mathematical phonation models commonly rely on a quasi-one-dimensional flow model. The assumption of quasi-one-dimensional flow through a glottis with fixed length is analyzed for different cross-section shapes: Circle, rectangle, ellipse, and circular segment. A simplified flow model is formulated which accounts for kinetic losses, viscosity, and cross-section shape. It is seen that the cross-section shape cannot be neglected since it alters boundary layer development and hence the viscous contribution to the pressure drop across the glottis. The commonly applied quasi-one-dimensional flow model is shown to be inaccurate, indicating the potential benefit of taking into account the cross-section shape.
GIPSA-Lab, UMR CNRS 5216, Grenoble University, F-38031 Grenoble Cedex 1, France.
Bo
B
Wu
Annemie
A
Van Hirtum
Xavier
X
Pelorson
Xiaoyu
X
Luo
D001696:Biomechanical Phenomena; D003198:Computer Simulation; D005931:Glottis / Q000033:anatomy & histology* / Q000502:physiology*; D006801:Humans; D008953:Models, Anatomic; D008954:Models, Biological; D009716:Numerical Analysis, Computer-Assisted; D010699:Phonation; D012212:Rheology; D014783:Viscosity