Simulation-based analysis of flow due to traveling-plane-wave deformations on elastic thin-film actuators in micropumps

Tabak, Ahmet Fatih; Yeşilyurt, Serhat

doi:10.1007/s10404-007-0207-y

Cited by 11 publications

(7 citation statements)

References 29 publications

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“…In Figures 4 and 5, average flow rate is shown as a function of time for wavelengths of 80µm and 640 µm respectively. Similar behavior is observed in the numerical simulations of the micropump that is actuated by travelling-plane-wave deformations [13].…”

Section: Resultssupporting

confidence: 81%

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Simulation-Based Analysis of a Biologically-Inspired Micropump With a Rotating Spiral Inside a Microchannel

Koz

Yeşilyurt

2008

ASME 2008 6th International Conference on Nanochannels, Microchannels, and Minichannels

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Microorganisms such as bacteria use their rotating helical flagella for propulsion speeds up to tens of tail lengths per second. The mechanism can be utilized for controlled pumping of liquids in microchannels. In this study, we aim to analyze the effects of control parameters such as axial span between helical rounds (wavelength), angular velocity of rotations (frequency), and the radius of the helix (amplitude) on the maximum time-averaged flow rate, maximum head, rate of energy transfer, and efficiency of the micropump. The analysis is based on simulations obtained from the three-dimensional time-dependent numerical model of the flow induced by the rotating spiral inside a rectangular-prism channel. The flow is governed by Navier-Stokes equations subject to continuity in time-varying domain due to moving boundaries of the spiral. Numerical solutions are obtained using a commercial finite-element package which uses arbitrary Lagrangian-Eulerian method for mesh deformations. Results are compared with asymptotic results obtained from the resistive-force-theory available in the literature.

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Section: Resultssupporting

confidence: 81%

“…Normalizing swimming speed for the base case is obtained as 4.99 µm/s. The speed of a microswimmer is calculated by Behkam and Sitti based on the resistive force theory [10,13]…”

Section: Resultsmentioning

confidence: 99%

Simulation-Based Analysis of a Biologically-Inspired Micropump With a Rotating Spiral Inside a Microchannel

Koz

Yeşilyurt

2008

ASME 2008 6th International Conference on Nanochannels, Microchannels, and Minichannels

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“…The fluidic domain in the channel Γ( t ) as depicted in Figure a, is governed by Newtonian, incompressible, 3D, and time‐dependent Navier–Stokes equations subject to conservation of mass in arbitrary Lagrangian–Eulerian (ALE) scheme as follows:

\begin{matrix} left ρ ((), \frac{\partial U}{\partial t} + false(bold-italicU - bold-italicu false) \cdot \nabla U) = - \nabla p + μ \nabla^{2} bold-italicU \\ left \nabla \cdot bold-italicU = 0 \end{matrix}

where u denotes the velocity vector of the moving mesh. Furthermore, the governing equation and equation of motion are written in nondimensional fashion, as practiced in previous studies . It is also noted that the fluidic domain Γ( t ) is considered to be under isothermal conditions at all times.…”

Section: Modelingmentioning

confidence: 99%

“…Known theoretical models predict the effect of the flow fields, invoked by simultaneous propulsion and pumping action of the complex geometries such as a cargo towed by a rotating helix, only up to a certain degree. The reason is the analytical methods of choice being subject to limiting geometrical and temporal assumptions in order to be able to obtain a solution without dealing with the problem at hand in full scale . Moreover, the highly non‐linear nature of the Navier–Stokes equations did not allow a comprehensive closed‐form analytical solution of the problem to this date.…”

Section: Introductionmentioning

confidence: 99%

Hydrodynamic Impedance of Bacteria and Bacteria‐Inspired Micro‐Swimmers: A New Strategy to Predict Power Consumption of Swimming Micro‐Robots for Real‐Time Applications

Tabak

2018

Advcd Theory and Sims

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Power supply is one of the key issues with bio-inspired micro-robots for therapeutic applications. There have been different approaches to predict the hydrodynamic behavior of such systems, most of which are based on the low-Reynolds-number approximation of the surrounding flow field, also known as the Stokes flow. However, it has been long debated that the Stokes-flow approach without corrections for hydrodynamic interactions is inadequate in explaining the dynamics of a particle, even a blunt sphere, following a non-trivial path subject to spatial and temporal variations. A cargo being towed by a rotating helical tail presents an even more complicated problem which can only be appreciated by numerical solutions of time-dependent Navier-Stokes equations incorporated with rigid-body dynamics. In this study, such a solution scheme is presented for the six degrees of freedom motion of both bacteria and bacteria-inspired micro-robots, swimming in backward or forward direction. Furthermore, the analysis is extended to characterize the impedance coefficients via parameterized wave geometry. Thus, it is demonstrated that the resistive force theory can be improved to predict time-dependent fluid resistance acting on bio-inspired micro-swimmers via hydrodynamic impedance-based corrections, allowing accurate calculation of required power to achieve desired actuation strategies.

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“…[23,24,[41][42][43][44] The Re number is defined as Re = 0.01 for the results presented in this work. As a result, the scaling Reynolds number becomes Re = 2π fρD body 2 /μ, the reciprocal of which will be used to define the dimensionless dynamic viscosity of the domain (t), which is a common practice for micro-hydrodynamic analysis of such micro-swimmers.…”

Section: Modelingmentioning

confidence: 99%

Hydrodynamic Impedance Correction for Reduced‐Order Modeling of Spermatozoa‐Like Soft Micro‐Robots

Tabak

2018

Advcd Theory and Sims

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Hydrodynamic interactions play a key role in the swimming behavior and power consumption of bio-inspired and biomimetic micro-swimmers, cybernetic or artificial alike. Bio-inspired robotic micro-swimmers require fast and reliable numerical models for robust control in order to carry out demanding therapeutic tasks as envisaged for more than 60 years. The fastest known numerical model, the resistive force theory (RFT), incorporates local viscous force coefficients with the local velocity of slender bodies in order to find the resisting hydrodynamic forces, however, omitting the induced far-field. As a result, the power requirement cannot be predicted accurately. The question of predicting and supplying the necessary power is one of the obstacles impeding the micro-robotic efforts. In this study, a novel strategy is proposed to improve the RFT-based analysis, particularly for spermatozoa and spermatozoa-inspired micro-swimmers with elastic slender tails, in order to present a practical solution to the problem. The postulated analytical improvement and the associated correction coefficients are based on hydrodynamic impedance analysis of the time-dependent solution of three-dimensional (3D) Navier-Stokes equations incorporated with deforming mesh and subject to conservation of mass.

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Simulation-based analysis of flow due to traveling-plane-wave deformations on elastic thin-film actuators in micropumps

Cited by 11 publications

References 29 publications

Simulation-Based Analysis of a Biologically-Inspired Micropump With a Rotating Spiral Inside a Microchannel

Simulation-Based Analysis of a Biologically-Inspired Micropump With a Rotating Spiral Inside a Microchannel

Hydrodynamic Impedance of Bacteria and Bacteria‐Inspired Micro‐Swimmers: A New Strategy to Predict Power Consumption of Swimming Micro‐Robots for Real‐Time Applications

Hydrodynamic Impedance Correction for Reduced‐Order Modeling of Spermatozoa‐Like Soft Micro‐Robots

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