Study on the sedimentation and interaction of two squirmers in a vertical channel

Ying, Yuxiang; Jiang, Tongxiao; Nie, Deming; Lin, Jianzhong

doi:10.1063/5.0107133

Cited by 13 publications

(6 citation statements)

References 57 publications

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“…In the above U s represents the steady swimming velocity reached by the squirmer under self-propulsion. Both Ouyang et al [51] and our previous paper [55] validated that the circular squirmer eventually reaches a steady velocity U s = B 1 /2 at a low Reynolds number. As there is no exact theoretical solution for the steady swimming velocity of an elliptical squirmer in 2D conditions, we used the steady velocity B 1 /2 of the circular squirmer as a substitute; U g represents the sedimentation velocity of the 2D passive particle under gravity.…”

Section: Squirmer-wall Interactionmentioning

confidence: 64%

“…In our previous paper [55], we described the model proposed by Blake [26,27] for spherical or circular squirmer motions, which assumes that the squirmer propagates to its surface boundary in both radial and tangential oscillatory fluctuations to achieve the motion of a microswimmer with an array of cilia. From this, two sets of solutions for the velocity components of the 2D squirmer in the radial and tangential directions in a Newtonian Stokes flow are given, as follows:…”

Section: Elliptical Squirmer Modelmentioning

confidence: 99%

“…Kuhr et al [54] utilized a multiparticle collision dynamics method to examine the hydrodynamics of a monolayer of squirmer model microswimmers confined to a boundary under strong gravity and reported that when the densities and types of squirmers were different, a squirmer interacted with the flow field through its generated hydrodynamics before eventually appearing in different states of motion. Ying et al [55] used the lattice Boltzmann method to simulate the sedimentation of two self-propelled particles in a 2D vertical channel and summarized five typical motion modes of a single squirmer. The motion modes of the two squirmers were obtained by combining the different motion modes of a single squirmer.…”

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confidence: 99%

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Study of sedimentation characteristics of an elliptical squirmer in a vertical channel

Ying,

Jiang,

et al. 2024

Phys. Scr.

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We used a two-dimensional lattice Boltzmann method to simulate the sedimentation motion of an elliptical squirmer in a vertical channel, taking into account the case of a circular squirmer, aiming to more realistically simulate the swimming of microorganisms in nature. The study in this was divided into two phases. The first phase comprised the numerical calculations of an elliptical squirmer with an aspect ratio of c = 2.0 and revealed three typical motion modes: steady inclined motion, wall-attraction oscillation, and large-amplitude oscillation. It was found that the formation of these three motion modes and transitions between modes are related to the pressure distribution formed between the elliptical squirmer and wall. In addition, significant differences exist between the motions of elliptical and circular squirmers. The force generated by the interaction between the elliptical squirmer and wall does not all point towards its center of mass, resulting in an additional torque on the elliptical squirmer; this is not the situation for the circular squirmer. The second phase of the study simulated squirmers with different aspect ratios (c = 1.0, c = 3.0). It was found that for an elliptical squirmer with an aspect ratio c = 3.0, the large-amplitude oscillation mode (among the above three motion modes) no longer exists. By combining the motion modes of a circular squirmer in the channel, it can be observed that as the aspect ratio c increases, the squirmer’s head direction tends to be more vertical, which may reduce the drag force during swimming.

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Section: Squirmer-wall Interactionmentioning

confidence: 64%

Section: Elliptical Squirmer Modelmentioning

confidence: 99%

mentioning

confidence: 99%

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Study of sedimentation characteristics of an elliptical squirmer in a vertical channel

Ying,

Jiang,

et al. 2024

Phys. Scr.

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“…(Llopis and Pagonabarraga 2010) employed both analytical and computational simulations to explore the fluid dynamics interactions among squirmers, validating the accuracy and effectiveness of their theoretical approach. Recent studies (Yamamoto et al 2021, Théry et al 2023, Ying et al 2022 further highlight that interactions between two squirmers, whether identical or different (such as pusher-pusher, puller-puller, and pusher-puller), result in a range of distinct swimming patterns.…”

Section: Introductionmentioning

confidence: 99%

Motion characteristics of squirmers in linear shear flow

Guan,

Ying,

Lin

et al. 2024

Fluid Dyn. Res.

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In this study, the two-dimensional lattice Boltzmann method was employed to simulate the motions and distributions of a circular squirmer in a linear shear flow. The objective was to systematically investigate the dynamics of microorganisms or engineered squirmers in a flowing environment. We conducted multiple simulations across a range of self-propelled strengths (0.08 ≤ α ≤ 0.8) and squirmer type parameters (-5 ≤ β ≤ 5). Initially, we analyzed the swimming motions of the neutral squirmer (β = 0) in the shear flow. Our analysis revealed two distinct distributions depending on , i.e., near the bottom or the top plate, which differs from conventional particle behavior. Moreover, we observed that the separation point of these two distributions occurs at αc = 0.41. The puller and pusher exhibit similarities and differences, with both showing a periodic oscillation pattern (POP). Additionally, both types reach a steady inclined pattern near the plate (SIP), with the distinction that the low-pressure region of the puller's head is captured by the plate, whereas the pusher is captured by the low-pressure region on the side of the body. The limit cycle pattern (LCP) is unique to the pusher because the response of the pressure distribution around the pusher to the flow field is different from that of a puller. The pusher starts from the initial motion and asymptotes to a closed limit cycle under the influence of flow-solid interaction. The frequency f of LCP is inversely proportional to the amplitude h* because the pusher takes longer to complete a larger limit cycle. Finally, an open limit cycle is shown, representing a swimming pattern that crosses the width of the channel.

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“…In contrast, the puller-cargo model is more stable than the cargopuller model, and a larger distance leads to more unstable swimming. [30] Nie et al [31] and Ying et al [32] studied the movements and interactions of circular squirmers under gravity in a two-dimensional (2D) channel with finite fluid inertia and five typical locomotive modes were obtained. They found that pullers with higher pressure regions on their lateral sides are more prone to breakdown and stability loss.…”

Section: Introductionmentioning

confidence: 99%

Passive particles driven by self-propelled particle: The wake effect

Zheng 郑,

Wang 汪,

Wang 王

et al. 2024

Chinese Phys. B

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This study focused on the numerical exploration of hydrodynamic interactions between a passive particle and a self-propelled particle, termed a squirmer, using a two-dimensional lattice Boltzmann method. We discovered that the squirmer has the capacity to capture a passive particle and propel it simultaneously, provided the passive particle is situated within the squirmer's wake. Our research established that the critical trap distance, which determines whether the particle is captured, primarily depends on the intensity of the squirmer's dipolarity. The stronger dipolarity of squirmer results in an increased critical trap distance. Conversely, the Reynolds number was found to have minimal impact on this interaction. Interestingly, we determined that the passive particle, when driven by the squirmer's wake, contributes to a reduction in the squirmer's drag. This results in a mutual acceleration for both particles. The implications of our findings can provide valuable perspectives for establishing principles to reduce drag in micro-swimmers and assist in achieving the goal of employing micro-swimmers for cargo transport without physical tethering.

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Study on the sedimentation and interaction of two squirmers in a vertical channel

Cited by 13 publications

References 57 publications

Study of sedimentation characteristics of an elliptical squirmer in a vertical channel

Study of sedimentation characteristics of an elliptical squirmer in a vertical channel

Motion characteristics of squirmers in linear shear flow

Passive particles driven by self-propelled particle: The wake effect

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