A refined physical model of the clarinet using a variable air jet height

A time-domain formulation of a lumped model ap-<br/>proximation of a clarinet reed excitation mechanism is presented.<br/>The lumped model is based on an analytical representation of<br/>the ow within the reed channel, incorporating a contraction<br/>coefcient (vena contracta factor) that is dened as the ratio of<br/>the effective ow over the Bernoulli ow. This coefcient has<br/>been considered to be constant in previous studies focusing on<br/>sound synthesis. In this paper it will be treated as a function<br/>of the reed opening, varying between 0 and 1 as predicted by<br/>boundary layer ow theory. Focussing on a specic mouthpiece<br/>geometry, the effect of modelling a variable air jet height on the<br/>synthesised sound is analysed.