Examination of bio convection with nanoparticles containing microorganisms under the influence of magnetism fields on vertical sheets by five-order Runge-Kutta method

Reza Fathollahi; As'ad Alizadeh; Yaghub Safari; Hossein Nabi; Mahmoud Shamsborhan; Fariborz Taghinia

doi:10.1016/j.heliyon.2023.e15982

Examination of bio convection with nanoparticles containing microorganisms under the influence of magnetism fields on vertical sheets by five-order Runge-Kutta method

Heliyon. 2023 May 12;9(5):e15982. doi: 10.1016/j.heliyon.2023.e15982. eCollection 2023 May.

Authors

Reza Fathollahi¹, As'ad Alizadeh², Yaghub Safari³, Hossein Nabi³, Mahmoud Shamsborhan⁴, Fariborz Taghinia³

Affiliations

¹ Depatment of Engineering, Faculty of Khoy, Urmia University of Technology, Iran.
² Department of Civil Engineering, College of Engineering, Cihan University-Erbil, Erbil, Iraq.
³ Department of Mechanical Engineering, Babol Noshirvani University of Technology, Babol, Iran.
⁴ Department of Mechanical Engineering, College of Engineering University of Zakho, Zakho, Iraq.

Abstract

In this paper, we analyzed vertical bio convection in nanofluids containing microorganisms. The novelty of this article is the numerical and analytical investigation of magnetic flow, radiation heat transfer, and viscous dissipation on bio convective fluid flow using the Five-order Runge-Kutta technique. Utilizing similitude parameters, determined ODE (ordinary differential equation) equations from partial differential equations for continuity, momentum, energy, and nanofluid concentration. Five-order Runge-Kutta was then used to solve the equations. The results show that it has a more significant influence on and then and. In addition, it exerts a force on neighboring particles, which causes them to shift from a hot zone to a great region. The density of microorganisms inside a part rises as it grows; when Le rises and Ha remains the same, x(ξ) falls, and When Ha rises, and Le remains the same, x(ξ) fall.

Keywords: Bio convective fluid; Magnetic field; Microorganisms; Nanofluid; Vertical plate.