A Mathematical Model of Fluid Dynamics in the Ear due to External Noise
Keywords:Noise, Cochlea, Potential Theory, Fluid Motion, Hearing
COMMUNICATION IN PHYSICAL SCIENCES 5(1): 59-69
C. E. Mbah
A mathematical model offluid dynanücs in the Cochlea was fornudated 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 ofthe nudti-dimensional nature of the variables associated with noise. Also determined is the nature ofthe 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 Inenlbrane. We observed that the velocity potential in the horizontal axis increases with distance front the base of the basilar 'nembrane when the flexural rigidity varies as the distance increases. Other analyses were also carried out to confinn the experimental evidences about the effect ofnoise in the ear.
Thesis at the University of Nigeria, Nsukka. 2005.
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