Hydrodynamic Ratchet for Tracer Transport in a Soft Microchannel: A Detailed Analysis
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| Format: | Preprint |
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2025
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| _version_ | 1866910186488201216 |
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| author | Anand, Aakash Bhattacharyay, A. |
| author_facet | Anand, Aakash Bhattacharyay, A. |
| contents | Understanding surface-driven transport is of paramount importance from the perspective of biological applications and the synthesis of microfluidic devices. In this work, we develop an analysis of a local inversion symmetry broken fluid flow model through an undulating microchannel. Surface undulations of a few tens of Hertz in a soft microchannel keep the fluid flow in a low Reynolds number regime, allowing the advantage of a perturbation analysis of fluid flow. Using this, we develop a detailed analysis of the relationship between the fluid velocity and surface undulations, which is crucial for the subsequent numerical analysis of tracer motion. We used this information to study the dynamics of a tracer particle in the velocity field of an undulating microchannel. We show that the tracer particle can undergo ratcheting (which we call the hydrodynamics ratchet effect) in very specific, physically meaningful circumstances. We observe a ratcheting velocity of $\sim 0.15 \;μ$m/sec for a micrometre-sized particle at room temperature in water when the undulations wavelength is of the order of 1 $μ$m. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2510_12492 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hydrodynamic Ratchet for Tracer Transport in a Soft Microchannel: A Detailed Analysis Anand, Aakash Bhattacharyay, A. Fluid Dynamics Statistical Mechanics Understanding surface-driven transport is of paramount importance from the perspective of biological applications and the synthesis of microfluidic devices. In this work, we develop an analysis of a local inversion symmetry broken fluid flow model through an undulating microchannel. Surface undulations of a few tens of Hertz in a soft microchannel keep the fluid flow in a low Reynolds number regime, allowing the advantage of a perturbation analysis of fluid flow. Using this, we develop a detailed analysis of the relationship between the fluid velocity and surface undulations, which is crucial for the subsequent numerical analysis of tracer motion. We used this information to study the dynamics of a tracer particle in the velocity field of an undulating microchannel. We show that the tracer particle can undergo ratcheting (which we call the hydrodynamics ratchet effect) in very specific, physically meaningful circumstances. We observe a ratcheting velocity of $\sim 0.15 \;μ$m/sec for a micrometre-sized particle at room temperature in water when the undulations wavelength is of the order of 1 $μ$m. |
| title | Hydrodynamic Ratchet for Tracer Transport in a Soft Microchannel: A Detailed Analysis |
| topic | Fluid Dynamics Statistical Mechanics |
| url | https://arxiv.org/abs/2510.12492 |