You wish to analyze the flow of endolymph fluid in the inner ear around ciliary structures as part of the vestibular sense (or sense of motion yes, your head senses motion.) Given the characteristic parameters of the problem as: ciliary length is the diameter of 0.3 µm, characteristic time of 1 ms, fluid velocity as it approaches the cilia of 10 µm/s, pressure variations of 10 mPa at the most. Calculate the Strouhal, Euler, Froude, and Reynolds numbers, then estimate which terms can be considered insignificant in the nondimensional N-S equation. The endolymph fluid in terms of density and viscosity is essentially water. Ays Nys From Nam, Cotton, and Grant, "Effect of fluid forcing on vestibular hair bundles", Journal of Vestibular Research 15 (2005) 263–278 [t] - at - + (v* . ÿ'»ÿ* = -[Eu]Ÿ"/ [Fr² [Re]

Elements Of Electromagnetics
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You wish to analyze the flow of endolymph fluid in the inner ear around ciliary structures
as part of the vestibular sense (or sense of motion-yes, your head senses motion.) Given
the characteristic parameters of the problem as: ciliary length is the diameter of 0.3 µm,
characteristic time of 1 ms, fluid velocity as it approaches the cilia of 10 µm/s, pressure
variations of 10 mPa at the most. Calculate the Strouhal, Euler, Froude, and Reynolds
numbers, then estimate which terms can be considered insignificant in the
nondimensional N-S equation. The endolymph fluid in terms of density and viscosity is
essentially water.
Ays
Ayas
From Nam, Cotton, and Grant, "Effect of fluid forcing on vestibular hair bundles", Journal of Vestibular
Research 15 (2005) 263–278
[St] -
+ (v* · §'»Ÿ* = -[Eu]VP° +
Fr²]
Re]
Transcribed Image Text:You wish to analyze the flow of endolymph fluid in the inner ear around ciliary structures as part of the vestibular sense (or sense of motion-yes, your head senses motion.) Given the characteristic parameters of the problem as: ciliary length is the diameter of 0.3 µm, characteristic time of 1 ms, fluid velocity as it approaches the cilia of 10 µm/s, pressure variations of 10 mPa at the most. Calculate the Strouhal, Euler, Froude, and Reynolds numbers, then estimate which terms can be considered insignificant in the nondimensional N-S equation. The endolymph fluid in terms of density and viscosity is essentially water. Ays Ayas From Nam, Cotton, and Grant, "Effect of fluid forcing on vestibular hair bundles", Journal of Vestibular Research 15 (2005) 263–278 [St] - + (v* · §'»Ÿ* = -[Eu]VP° + Fr²] Re]
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