Simulation by using the lattice Boltzmann method of microscopic particle motion induced by artificial cilia

Alapati, Suresh; Seong, Woo; Mannoor, Madhusoodanan; Suh, Yong Kweon

doi:10.3938/jkps.68.1307

Cited by 4 publications

(2 citation statements)

References 24 publications

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“…As length scales are different, we have chosen the sperm number, S p (which is the ratio of bending forces and the viscous forces), as a comparing option in such a way that both S p are identical. The definition of S p is given by [35]…”

Section: Simulation Resultsmentioning

confidence: 99%

Simulation of an Elastic Rod Whirling Instabilities by Using the Lattice Boltzmann Method Combined with an Immersed Boundary Method

Alapati,

Che,

Rao

et al. 2023

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Mathematical modeling and analysis of biologically inspired systems has been a fascinating research topic in recent years. In this work, we present the results obtained from the simulation of an elastic rod (that mimics a flagellum axoneme) rotational motion in a viscous fluid by using the lattice Boltzmann method (LBM) combined with an immersed boundary method (IBM). A finite element model consists of a set of beam and truss elements used to discretize the flagellum axoneme while the fluid flow is solved by the well-known LBM. The hydrodynamic coupling to maintain the no-slip boundary condition between the fluid and the elastic rod is conducted with the IBM. The rod is actuated with a torque applied at its base cross-section that acts as a driving motor of the axoneme. We simulated the rotational dynamics of the rod for three different rotational frequencies (low, medium, and high) of the motor. To compare with previous publication results, we chose the sperm number Sp=L(4πμω)/(EI)1/4 as the validation parameter. We found that at the low rotational frequency, f = 1.5 Hz, the rod performs stable twirling motion after attaining an equilibrium state (the rod undergoes rigid rotation about its axis). At the medium frequency, f = 2.65 Hz, the rod undergoes whirling motion, where the tip of the rod rotates about the central rotational axis of the driving motor. When the frequency increases further, i.e., when it reaches the critical value, fc ≈ 2.7 Hz, the whirling motion becomes over-whirling, where the tip of the filament falls back to the base and performs a steady crank-shafting motion. All three rotational dynamics, twirling, whirling, and over-whirling, and the critical value of rotational frequency are in good agreement with the previously published results. We also observed that our present simulation technique is computationally more efficient than previous works.

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Section: Simulation Resultsmentioning

confidence: 99%

Simulation of an Elastic Rod Whirling Instabilities by Using the Lattice Boltzmann Method Combined with an Immersed Boundary Method

Alapati,

Che,

Rao

et al. 2023

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“…We think that, in this topic, the phase difference of adjacent cilia on ML transportation deserves further study. On the other hand, besides the cilia and flow, some floating rigid particles are usually found in MCC [18], which may be the foreign matter or come from the respiratory tract surface. Moreover, some other topics, such as the decontamination mechanism of cilia [19] and drug effect on the motion of cilia [20], are also worth further exploring.…”

Section: Introductionmentioning

confidence: 99%

Simulation Study on the Mass Transport Based on the Ciliated Dynamic System of the Respiratory Tract

Zhu

et al. 2019

Computational and Mathematical Methods in Medicine

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To study the mass transport of mucociliary clearance of the human upper respiratory tract, a two-dimensional mass transport model based on the ciliated movement was established by using the immersed boundary-lattice Boltzmann method (IB-LBM). In this model, different characteristics of the mucus layer (ML) and the periciliary liquid (PCL) were taken into account. A virtual elastic membrane was introduced to divide the two layers dynamically. All moving boundaries that were involved in the present simulation were modeled with the immersed boundary. The Newtonian fluid was used to model the flow in PCL, and the viscoelastic fluid based on the Oldroyd-B model was used for the flow in ML; the two types of flow were both solved by the LBM framework. Based on the model, the ML thickness, the cilia density, and the phase difference of adjacent cilia were regulated, respectively, to study the transport velocity of the ML. In addition, the motion law of solid particles in PCL was also studied. According to the results, four primary conclusions were drawn. (1) At a given beating pattern, the increase of the ML thickness will decrease its transport velocity. (2) Increasing the cilia density can promote the mean transport velocity of the ML. (3) By raising the phase difference of adjacent cilia to a certain scope, the transport of ML can be accelerated. (4) In PCL, particles initially located on the upper part of the cilia tend to migrate upward and then get close to the ML. The above study can provide some reasonable explanations for the mechanism of the mucociliary clearance system, which is also helpful to the further understanding of the mass transport principle of the human upper respiratory tract.

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Lattice Boltzmann Method Combined with the Smoothed Profile Method for the Simulation of Particulate Flows with Heat Transfer

Alapati

Seong

Ahn

2018

Heat Transfer Engineering

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Simulation by using the lattice Boltzmann method of microscopic particle motion induced by artificial cilia

Cited by 4 publications

References 24 publications

Simulation of an Elastic Rod Whirling Instabilities by Using the Lattice Boltzmann Method Combined with an Immersed Boundary Method

Simulation of an Elastic Rod Whirling Instabilities by Using the Lattice Boltzmann Method Combined with an Immersed Boundary Method

Simulation Study on the Mass Transport Based on the Ciliated Dynamic System of the Respiratory Tract

Lattice Boltzmann Method Combined with the Smoothed Profile Method for the Simulation of Particulate Flows with Heat Transfer

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