Document Type : Research Paper
Authors
1
1. Department of Physics and Engineering Mathematics, Faculty of Engineering, Zagazig university, Egypt. 2. Basic Science Department, Faculty of Engineering, Delta University for Science and Technology, Gamasa, 11152, Egypt.
2
Delta Higher Institute for Engineering and Technology, Mansoura, Egypt.
3
Department of Physics and Engineering Mathematics, Faculty of Engineering, Zagazig university, Egypt.
Abstract
Biological systems use fluid dynamics to coordinate group movements and spatial arrangement, which affect both their own dispersion and the dynamics of their surroundings. This behavior has been documented in a number of biological systems, such as bacterial colonies, algal blooms, and microbial suspensions. The current study examines the flow of a nanofluid via a vertical thin needle used in medical surgery. The nanofluid is composed of three types of nanoparticles: Fe3O4, copper oxide (CuO), and copper (Cu) that are dispersed in a base fluid of blood. Additionally, the nanofluid contains gyrotactic bacteria. Furthermore, in the presence of a magnetic field, the incompressible liquid conducts current. The nanofluid model considers both Brownian motion and thermophoresis. The Runge-Kutta and shooting approach is used to numerically solve transformed ODEs resulting from the group method. The present study looked at the effects of several factors, including Prandtl number, Brownian motion coefficient, thermophoresis diffusion coefficient, microorganism diffusion coefficient, concentration difference, temperature difference, Schmidt number, bioconvection Peclet number, Lewis number, and magnetic diffusivity. The findings indicate that velocity decreases with rising \(\Pr,Lb\ \) and \(Sc\) and increases with \(D_{B}\), \(D_{T}\), \(D_{n}\), \(\delta c\), \(\delta t\), and \(Pe\). In contrast, temperature decreases with increasing \(\Pr\), \(D_{B}\), and \(\delta c\) and increases with rising \(\delta t\). Bacterial density, on the other hand, decreases with rising \(\Pr\) and \(D_{B}\) and increases with \(D_{T}\), \(D_{n}\), and \(Sc\). Whereas the magnetic field grows as \(\eta_{0}\) increases. We will also use graphs to illustrate the physical significance of the current parameters.
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