Flow representation through the glottis having a polygonal boundary shape

This paper presents an analytical approach for representing the flow through the glottis. Based on the polygonal line approximation of the coronal section of the glottis, the velocity field of incompressible, inviscid flow can be conveniently represented using the method of conformal mapping. In this method, the actual physical domain is conformally connected to the canonical domain configured as the infinite strip. Since the general form of analytic potential functions for the uniform flow and the flow due to a point vortex is known in the canonical domain, such flows in the physical domain can be derived by the connecting mapping function specific to the glottal shape. Simulation results were presented to evaluate the influence of a vortex pair placed at the supraglottal section on the stream line and pressure field of the uniform flow.