Numerical Modeling of the Movement of Self-Propelled Microorganisms in Newtonian Fluid

Yıl 2024, , 36 - 42, 15.01.2024

Hatice Mercan , Tufan Tuna Köseler

https://doi.org/10.34248/bsengineering.1358188

Öz

The movement of micro-organisms is important both in understanding their biological behavior and in micro-robot design. The micro swimmer is often displaced by squirming motion at very low speeds in stationary fluid, a flow dominated by viscosity due to the low Reynolds number. The squirming movement differentiates the effect of the drag forces of the swimmer. Time-dependent periodic squirming motion for forward, reverse and neutral mode movements is modeled by ANSYS® software. The results are presented as streamlines, velocity isocurves, and wall shear force, vorticity, and drag coefficient variation at the swimmer wall for a full period after steady state is reached. It has been shown that the swimming efficiency of a squirming swimmer is dependent on both the Reynolds number and the swimmer's mode.

Anahtar Kelimeler

Self-propelled flow, Low Re flow Drag coefficient, Computational fluid dynamics, Biomedical fluid dynamics

Kendinden Tahrikli Mikro Organizmaların Newtonyen Akışkan İçindeki Harketinin Sayısal Modellenmesi

Öz

Mikro organizmaların hareketi gerek biyolojik davranışlarını anlamada gerekse mikro robot dizaynında önem taşımaktadır. Mikro yüzücü çoğu zaman durağan akışkanda oldukça düşük hızlarda kıvranma hareketi ile yer değiştirmektedir, bu da düşük Reynolds sayısından dolayı viskozitenin domine ettiği bir akıştır. Kıvranma hareketi yüzücünün sürüklenme kuvvetlerinin etkisini farklılaştırmaktadır. İleri, geri ve nötral moddaki hareketler için zamana bağlı periyodik kıvranma hareketi ANSYS® yazılımı ile modellenmiştir. Sonuçlar durağan duruma erişildikten sonraki tam bir periyod için akış çizgileri, hız vektörü eş eğrileri ve yüzücü çeperindeki duvar kesme kuvveti, girdaplılık ve sürükleme katsayısı değişimi olarak sunulmuştur. Kıvranan yüzücünün yüzme verimliliğinin hem Reynolds sayısına hem de yüzücü moduna bağlı olduğu gösterilmiştir.

Anahtar Kelimeler

Kendinden tahrikli akış, Düşük reynolds sayılı akış, Sürükleme katsatısı, Hesaplamalı akışkanlar mekaniği, Biyomedikal akışkanlar mekaniği

Kaynakça

• Blake JR. 1971. Self propulsion due to oscillations on the surface of a cylinder at low Reynolds number. Bull Aust Math Soc, 5(2): 255-264.
• Daddi-Moussa-Ider A, Lisicki M, Mathijssen AJ, Hoell C, Goh S, Bławzdziewicz J, Menzel AM, Löwen H. 2018. State diagram of a three-sphere microswimmer in a channel. J Phys Condens Matter, 30(25): 254004.
• Datt C, Natale G, Hatzikiriakos SG, Elfring GJ. 2017. An active particle in a complex fluid. J Fluid Mech, 823: 675-688.
• Gijsen FJH, Allanic E, Van de Vosse FN, Janssen JD. 1999. The influence of the non-Newtonian properties of blood on the flow in large arteries: unsteady flow in a 90 curved tube. J Biomechanics, 32(7): 705-713
• Hamilton JK, Gilbert AD, Petrov PG, Ogrin FY. 2018. Torque driven ferromagnetic swimmers. Phys Fluids, 30(9): 092001. https://doi.org/10.1063/1.5046360.
• Kuhr JT, Rühle F, Stark H. 2019. Collective dynamics in a monolayer of squirmers confined to a boundary by gravity. Soft Matter, 15(28): 5685-5694.
• Kuhr JT, Blaschke J, Rühle F, Stark H. 2017. Collective sedimentation of squirmers under gravity. Soft Matter, 13(41): 7548-7555.
• Lighthill MJ. 1952. On the squirming motion of nearly spherical deformable bodies through liquids at very small Reynolds numbers. Commun Pure Appl Math, 5(2): 109-118.
• Mercan H, Atalık K. 2018. Numerical investigation of blood flow features in intracranial saccular aneurysms. J Thermal Eng, 4(2): 1867-1878.
• Narinder N, Bechinger C, Gomez-Solano JR. 2018. Memory-induced transition from a persistent random walk to circular motion for achiral microswimmers. Physical Rev Lett, 121(7) : 78003.
• Ouyang Z, Lin J, Ku X. 2018. The hydrodynamic behavior of a squirmer swimming in power-law fluid. Physics Fluids, 30(8): 083301. https://doi.org/10.1063/1.5045701.
• Pedley TJ. 2016. Spherical squirmers: models for swimming micro-organisms. IMA J Appl Math, 81(3): 488-521.
• Şahin Ç, Atalık K. 2019. Comparison of inelastic and elastic non-Newtonian effects on the flow around a circular cylinder in periodic vortex shedding. J Non-Newtonian Fluid Mechanics, 263: 1-14.
• Valencia A, Solis F. 2006. Blood flow dynamics and arterial wall interaction in a saccular aneurysm model of the basilar artery. Comput Struct, 84(21), 1326-1337.
• Zöttl A, Stark H. 2014. Hydrodynamics determines collective motion and phase behavior of active colloids in quasi-two-dimensional confinement. Physical Rev Lett, 112(11): 118101.
• Zöttl A, Stark H. 2018. Simulating squirmers with multiparticle collision dynamics. European Physical J E, 41(5): 61.