Numerical study on the propulsion of a bacterial flagellum in a viscous fluid using an immersed boundary method

Maniyeri, Ranjith; Suh, Yong Kweon; Kang, Sangmo; Kim, Min Jun

doi:10.1016/j.compfluid.2012.03.012

Cited by 33 publications

(14 citation statements)

References 37 publications

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“…The immersed boundary method has been used to model a variety of biological fluid dynamics problems, including aquatic locomotion (Fauci and Peskin, 1988;Fauci and Fogelson, 1993), insect flight (Miller and Peskin, 2004;), bacterial flagella (Lim and Peskin, 2012;Maniyeri et al, 2012), jellyfish swimming (Herschlag and Miller, 2011) and ciliary driven flows (Grunbaum et al, 1998).…”

Section: Methodsmentioning

confidence: 99%

Lift vs. drag based mechanisms for vertical force production in the smallest flying insects

Jones

Laurenza

Hedrick

et al. 2015

Journal of Theoretical Biology

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We used computational fluid dynamics to determine whether lift- or drag-based mechanisms generate the most vertical force in the flight of the smallest insects. These insects fly at Re on the order of 4-60 where viscous effects are significant. Detailed quantitative data on the wing kinematics of the smallest insects is not available, and as a result both drag- and lift-based strategies have been suggested as the mechanisms by which these insects stay aloft. We used the immersed boundary method to solve the fully-coupled fluid-structure interaction problem of a flexible wing immersed in a two-dimensional viscous fluid to compare three idealized hovering kinematics: a drag-based stroke in the vertical plane, a lift-based stroke in the horizontal plane, and a hybrid stroke on a tilted plane. Our results suggest that at higher Re, a lift-based strategy produces more vertical force than a drag-based strategy. At the Re pertinent to small insect hovering, however, there is little difference in performance between the two strategies. A drag-based mechanism of flight could produce more vertical force than a lift-based mechanism for insects at Re<5; however, we are unaware of active fliers at this scale.

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Section: Methodsmentioning

confidence: 99%

Lift vs. drag based mechanisms for vertical force production in the smallest flying insects

Jones

Laurenza

Hedrick

et al. 2015

Journal of Theoretical Biology

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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%

“…The equations represented till this point are cast in the dimensionless fashion following the scaling parameters as such the head diameter, D body , chosen as the characteristic length‐scale and 1/ f chosen as the characteristic time‐scale. As a result, the scaling Reynolds number becomes Re = 2 πfρD body 2 / μ , the reciprocal of which will be used to define the dimensionless dynamic viscosity of the domain Γ( t ), which is a common practice for micro‐hydrodynamic analysis of such micro‐swimmers . The Re number is defined as Re = 0.01 for the results presented in this work.…”

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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“…One of the most powerful methods to address this problem is to employ CFD simulations governed by Navier–Stokes equations incorporated with the rigid‐body dynamics of the micro‐swimmer actuated in confined volumes. To this effect, boundary element method, immersed boundary method, and finite element method analyses are being exploited extensively. However, CFD simulations are expensive and cumbersome in terms of computational power and solution time for quick hydrodynamic analysis for real‐time applications.…”

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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Numerical study on the propulsion of a bacterial flagellum in a viscous fluid using an immersed boundary method

Cited by 33 publications

References 37 publications

Lift vs. drag based mechanisms for vertical force production in the smallest flying insects

Lift vs. drag based mechanisms for vertical force production in the smallest flying insects

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

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

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