1
|
Zhang L, Puneeth V, Ijaz Khan M, El-Zahar ER, Manjunath N, Shah NA, Chung JD, Khan SU, Khan MI. Applications of bioconvection for tiny particles due to two concentric cylinders when role of Lorentz force is significant. PLoS One 2022; 17:e0265026. [PMID: 35503769 PMCID: PMC9064088 DOI: 10.1371/journal.pone.0265026] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/28/2021] [Accepted: 02/20/2022] [Indexed: 11/25/2022] Open
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.
Collapse
Affiliation(s)
- Lei Zhang
- Yellow River Institute of Hydraulic Research, YRCC, Zhengzhou, China
- Henan Engineering Research Center of Hydropower Engineering Abrasion Test and Protection, Zhengzhou, China
| | - V. Puneeth
- Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, India
| | - Muhammad Ijaz Khan
- Department of Mathematics and Statistics, Riphah International University, Islamabad, Pakistan
| | - Essam Roshdy El-Zahar
- Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj, Saudi Arabia
- Department of Basic Engineering Science, Faculty of Engineering, Menoufia University, Shebin El-Kom, Egypt
| | - N. Manjunath
- Department of Sciences and Humanities, CHRIST (Deemed to be University), Bengaluru, India
| | - Nehad Ali Shah
- Department of Mechanical Engineering, Sejong University, Seoul, Korea
| | - Jae Dong Chung
- Department of Mechanical Engineering, Sejong University, Seoul, Korea
- * E-mail:
| | - Sami Ullah Khan
- Department of Mathematics, COMSATS University Islamabad, Sahiwal, Pakistan
| | - M. Imran Khan
- Division of Sustainable Development, College of Science and Engineering, Hamad Bin Khalifa University, Qatar Foundation, Doha, Qatar
| |
Collapse
|