“This three compartment cochlear model can account for elaborate modelling of the physics of the cochlea. It is well illustrated. Bernoulli's law is applied under quasi-static conditions.”

New Paradigm in Hearing

Willem Chr. Heerens and J. Alexander de Ru

 

 

 

 

 

 

 

 

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“This three compartment cochlear model can account for elaborate modelling of the physics of the cochlea. It is well illustrated. Bernoulli's law is applied under quasi-static conditions.”
























“After verifying the sound experiments, we are of the opinion that this - Applying Physics Makes Auditory Sense - theory is representative for the working principle of the human ear and for the cochlea.”
























“We can see for ourself that Heerens has derived the analytical solution for the non-stationary non-viscous incompressible time dependent wiggle-waggle movements directed along the core of the perilymph duct.”
























“Because in that case the reduction of the complex set of Navier-Stokes equations to the non-stationary Bernoulli equation is fully permitted. And this finally results in the fact that everywhere inside the perilymph duct the evoked pressure variations are proportional to the sound energy stimulus.”
























“By resonance in the basilar membrane, i.e. the frequency-place related distributed resonance capability, the stimulus can evoke simultaneously all the frequency contributions of the sound energy signal, including exact phase relation for each contribution, which will be sent to the auditory cortex.”
























“The sound pressure variations in front of the eardrum evoke movement of the perilymph fluid in the cochlea. This transfer of accoustic pressure variations to perilymph velocity means that the incoming signal is differentiated in time.”
























“And subsequently, it is the velocity of the perilymph fluid that causes pressure differences on either side of the Reissner membrane and basilar membrane based on Bernoulli's law.”
























“Effectively this means that the sound signal is first differentiated and subsequently squared in the human ear. The pressure differences then set the basilar membrane into motion to stimulate the auditory nerves via the organ of Corti.”
























“Here Bernoulli's law is applied under quasi-static conditions which is allowed because the low viscosity and incompressibility of the perilymph fluid and the low Reynolds number during the time dependent movements guarantee the necessary laminar flow conditions.”
























“Apparently Lighthill has never considered the possibility that the observed movements of the basilar membrane could be caused by another phenomenon than a sound energy transporting traveling wave.”
























“Is it a vibration energy transporting wave or is it a phase wave, originated out of the manner in which the resonators in the basilar membrane are grouped?”
























“By the way that is also – but not in an extended way – explained in the booklet. Heerens there describes why that ‘waves’ always run from base to apex. It is conform to the mechanics of the peculiar basilar membrane system that this phase wave behavior is prescribed.”
























“I would like to congratulate the authors, with the book.”
























“I also would like to congratulate the authors, with the book.”
























“Conditions for a potential flow: fulfilled? Yes. While for the flow, inside the perilymph duct, not just one single but all conditions for a potential flow and thus for the analytical solution according to Bernoulli’s relation for non-stationary flow are fulfilled.”
























“And it is that solution based on the sound and solid use of hydrodynamic rules and laws that is the straight forward outcome.”