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当洛伦兹力起重要作用时,由于两个同心圆柱而产生的生物对流在微小颗粒中的应用。

Applications of bioconvection for tiny particles due to two concentric cylinders when role of Lorentz force is significant.

机构信息

Yellow River Institute of Hydraulic Research, YRCC, Zhengzhou, China.

Henan Engineering Research Center of Hydropower Engineering Abrasion Test and Protection, Zhengzhou, China.

出版信息

PLoS One. 2022 May 3;17(5):e0265026. doi: 10.1371/journal.pone.0265026. eCollection 2022.

Abstract

The bioconvection flow of tiny fluid conveying the nanoparticles has been investigated between two concentric cylinders. The contribution of Lorenz force is also focused to inspect the bioconvection thermal transport of tiny particles. The tiny particles are assumed to flow between two concentric cylinders of different radii. The first cylinder remains at rest while flow is induced due to second cylinder which rotates with uniform velocity. Furthermore, the movement of tiny particles follows the principle of thermophoresis and Brownian motion as a part of thermal and mass gradient. Similarly, the gyro-tactic microorganisms swim in the nanofluid as a response to the density gradient and constitute bio-convection. The problem is modeled by using the certain laws. The numerical outcomes are computed by using RKF -45 method. The graphical simulations are performed for flow parameters with specific range like 1≤Re≤5, 1≤Ha≤5, 0.5≤Nt≤2.5, 1≤Nb≤3, 0.2≤Sc≤1.8, 0.2≤Pe≤1.0 and 0.2≤Ω≤1.0. It is observed that the flow velocity decreases with the increase in the Hartmann number that signifies the magnetic field. This outcome indicates that the flow velocity can be controlled externally through the magnetic field. Also, the increase in the Schmidt numbers increases the nanoparticle concentration and the motile density.

摘要

已经研究了在两个同心圆柱之间的微小流体输送纳米粒子的生物对流。还关注了洛伦兹力的贡献,以检查微小颗粒的生物对流热传输。假设微小颗粒在两个不同半径的同心圆柱之间流动。第一圆柱保持静止,而由于第二圆柱以均匀速度旋转而引起流动。此外,微小颗粒的运动遵循热泳和布朗运动的原理,作为热和质量梯度的一部分。同样,旋进微生物在纳米流体中游泳以响应密度梯度并构成生物对流。该问题通过使用某些定律进行建模。使用 RKF-45 方法计算数值结果。对于特定范围内的流动参数(如 1≤Re≤5、1≤Ha≤5、0.5≤Nt≤2.5、1≤Nb≤3、0.2≤Sc≤1.8、0.2≤Pe≤1.0 和 0.2≤Ω≤1.0)进行了图形模拟。观察到流动速度随着哈特曼数的增加而减小,这表明磁场。这一结果表明,可以通过磁场对外界的流动速度进行控制。此外,施密特数的增加会增加纳米颗粒的浓度和运动密度。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e94e/9064088/2c03eb316002/pone.0265026.g001.jpg

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