Steady streaming flows near spheroids oscillated at multiple frequencies

Kotas, Charlotte W.; Yoda, Minami; Rogers, Peter H.

doi:10.1007/s00348-008-0479-3

Cited by 10 publications

(7 citation statements)

References 25 publications

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“…It is observed that as ] and increase the stagnation point moves away from the surface of inner sphere. Figure 2 is in good comparison with the experimental results of Kotas et al [13][14][15]. A recent paper [23] claims that distance of stagnation point to the surface of the sphere along the axis of oscillation is different from the distance of stagnation point to the surface of sphere along perpendicular axis.…”

Section: Results Discussionsupporting

confidence: 77%

“…Dohara [12] studied steady streaming for 1/√ ] ≈ (1) and obtained good results with the experimental results. Recently the experimental work of Kotas et al [13][14][15] produced the visualization of steady streaming due to the oscillating spheroids for moderate Reynolds number and small amplitude of oscillations. In recent paper [13], numerical results for 2 Journal of Applied Mathematics steady streaming are presented for Re ≫ 1 and compared with the experimental results of Kotas et al…”

Section: Introductionmentioning

confidence: 99%

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Boundary Layer Flow due to the Vibration of a Sphere

Sadiq

2014

Journal of Applied Mathematics

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Boundary layer flow of the Newtonian fluid that is caused by the vibration of inner sphere while the outer sphere is at rest is calculated. Vishik-Lyusternik (Nayfeh refers to this method as the method of composite expansions) method is employed to construct an asymptotic expansion of the solution of the Navier-Stokes equations in the limit of high-frequency vibrations for Reynolds number ofO(1). The effect of the Stokes drift of fluid particles is also considered.

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Section: Results Discussionsupporting

confidence: 77%

Section: Introductionmentioning

confidence: 99%

Boundary Layer Flow due to the Vibration of a Sphere

Sadiq

2014

Journal of Applied Mathematics

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“…One potential mechanism is that the otolith overlying the saccular epithelium vibrates differentially in response to varying frequency. While the modeling of fluid motion around otolith-like spheroids has recently been conducted [ 36 ], direct measurement of otolith vibration is rarely done. Sand and Michelsen [ 37 ] used laser vibrometry to measure the vertical vibration of saccular otoliths in perch ( Perca fluviatilis ) in response to four frequencies of horizontal movement.…”

Section: Discussionmentioning

confidence: 99%

Structural and functional effects of acoustic exposure in goldfish: evidence for tonotopy in the teleost saccule

et al. 2011

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BackgroundMammalian and avian auditory hair cells display tonotopic mapping of frequency along the length of the cochlea and basilar papilla. It is not known whether the auditory hair cells of fishes possess a similar tonotopic organization in the saccule, which is thought to be the primary auditory receptor in teleosts. To investigate this question, we determined the location of hair cell damage in the saccules of goldfish (Carassius auratus) following exposure to specific frequencies. Subjects were divided into six groups of six fish each (five treatment groups plus control). The treatment groups were each exposed to one of five tones: 100, 400, 800, 2000, and 4000 Hz at 176 dB re 1 μPa root mean squared (RMS) for 48 hours. The saccules of each fish were dissected and labeled with phalloidin in order to visualize hair cell bundles. The hair cell bundles were counted at 19 specific locations in each saccule to determine the extent and location of hair cell damage. In addition to quantification of anatomical injury, hearing tests (using auditory evoked potentials) were performed on each fish immediately following sound exposure. Threshold shifts were calculated by subtracting control thresholds from post-sound exposure thresholds.ResultsAll sound-exposed fish exhibited significant hair cell and hearing loss following sound exposure. The location of hair cell loss varied along the length of the saccule in a graded manner with the frequency of sound exposure, with lower and higher frequencies damaging the more caudal and rostral regions of the saccule, respectively. Similarly, fish exposed to lower frequency tones exhibited greater threshold shifts at lower frequencies, while high-frequency tone exposure led to hearing loss at higher frequencies. In general, both hair cell and hearing loss declined as a function of increasing frequency of exposure tone, and there was a significant linear relationship between hair cell loss and hearing loss.ConclusionsThe pattern of hair cell loss as a function of exposure tone frequency and saccular rostral-caudal location is similar to the pattern of hearing loss as a function of exposure tone frequency and hearing threshold frequency. This data suggest that the frequency analysis ability of goldfish is at least partially driven by peripheral tonotopy in the saccule.

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“…We depict streaming structures from multiple oscillating cylinders in figure 2( d , e ) to highlight similarity to corresponding experiments. More extensive three-dimensional validation against experiments (Kotas, Yoda & Rogers 2007, 2008) can be found in the supplementary material, § 1.5. Overall, through flow visualizations (figure 2 a , b ) and boundary layer thickness measurements (figure 2 c ), we observe qualitative and quantitative agreement with analytical and experimental studies involving individual and multiple cylinders (figure 2 d , e ), thus demonstrating the viability of our numerical approach for this class of problems.…”

Section: Governing Equations Numerical Methods and Validationmentioning

confidence: 99%

Streaming-enhanced flow-mediated transport

2019

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We investigate the capability of an active body (master) to manipulate a passive object (slave) purely via contactless flow-mediated mechanisms, motivated by potential applications in microfluidic devices and medicine (drug delivery purposes). We extend prior works on active-passive cylinder pairs by superimposing periodic oscillations to the master's linear motion. In a viscous fluid, such oscillations produce an additional viscous streaming field, which is leveraged for enhancing slave transport. We see that superimposing oscillations robustly improves transport across a range of Reynolds numbers. Comparison with results without oscillations highlights the flow mechanisms at work, which we capitalize on to design (master) geometries for augmented transport. These principles are found to extend to three-dimensional active-passive shapes as well. * Electronic address: mgazzola@illinois.edu arXiv:1809.04566v1 [physics.flu-dyn]

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Steady streaming flows near spheroids oscillated at multiple frequencies

Cited by 10 publications

References 25 publications

Boundary Layer Flow due to the Vibration of a Sphere

Boundary Layer Flow due to the Vibration of a Sphere

Structural and functional effects of acoustic exposure in goldfish: evidence for tonotopy in the teleost saccule

Streaming-enhanced flow-mediated transport

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