A Mathematical Model of Fluid Dynamics in the Ear due to External Noise

Abstract

A mathematical model of fluid dynamics in the Cochlea was formulated and solved using the potential flow theory. The obtained solutions of the model representing the flow in the Cochlea shows that the flow looks chaotic, but in reality, it is so because of the multi-dimensional nature of the variables associated with noise. Also determined is the nature of the flow at both chambers of the cochlea where we saw that the magnitudes of the velocity potentials are the same with only a difference in sign denoting their positions in relation to the basilar membrane. We observed that the velocity potential in the horizontal axis increases with distance front the base of the basilar 'membrane when the flexural rigidity varies as the distance increases. Other analyses were also carried out to confirm the experimental evidences about the effect of noise in the ear.