Mathematical Modeling of the Gyrotactic Microorganisms of Non Darcian Micropolar Fluid Containing Different Nanoparticles

Nabil T Eldabe, Mahmoud E. Gabr, Khalid K. Ali, Sameh Abdelzaher and A.Z. Zaher
* Author for corresponding; e-mail address: abdullah.zaher@feng.bu.edu.eg
Volume: Vol.48 No.5 (September 2021)
Research Article
DOI:
Received: 12 October 2020, Revised: 22 January 2021, Accepted: 8 March 2021, Published: -

Citation: Eldabe N.T., Gabr M.E., Ali K.K., Abdelzaher S. and Zaher A., Mathematical Modeling of the Gyrotactic Microorganisms of Non Darcian Micropolar Fluid Containing Different Nanoparticles, Chiang Mai Journal of Science, 2021; 48(5): 1412-1429.

Abstract

In this study, we consider the non-Darcian model of Gyrotactic Microorganisms and electromagnetohydrodynamic (EMHD) for micropolar bio viscos fluid containing different kinds of nanoparticles over a stretching plate. The problem is formulated mathematically by a system of non-linear partial differential equations (PDEs). By using suitable transformations, the PDEs system is transformed into a system of non-linear ordinary differential equations (ODE) subjected to appropriate boundary conditions. These equations are solved numerically by using the finite difference method. The model is applied to human blood, as a bio viscos fluid containing four different types of nano-particles such as Copper (Cu), Silver (Ag), aluminum oxide (Al2O3), and Titanium dioxide (TiO2). The effects of some parameters on the obtained solutions are discussed numerically and illustrated graphically through a set of figures. The results showed that the momentum for Al2O3-nanoparticles and TiO2-nanoparticles is spreading faster inside the blood than propagating momentum for Cu-nanoparticles, Ag-nanoparticles. The importance of this study comes from its significant applications in many scientific fields, such as nuclear reactors, medicine, and geophysics.

Keywords: boundary layer, micropolar fluid, nanoparticles, moving surface, electrical magnetic field, chemical reaction, heat and mass transfer, scientific computations, gyrotactic microorganisms

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