Examination of bio convection with nanoparticles containing microorganisms under the influence of magnetism fields on vertical sheets by five-order Runge-Kutta method
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 techn...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-05-01
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| Series: | Heliyon |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844023031894 |
| _version_ | 1797815548878258176 |
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| author | Reza Fathollahi As'ad Alizadeh Yaghub Safari Hossein Nabi Mahmoud Shamsborhan Fariborz Taghinia |
| author_facet | Reza Fathollahi As'ad Alizadeh Yaghub Safari Hossein Nabi Mahmoud Shamsborhan Fariborz Taghinia |
| author_sort | Reza Fathollahi |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-13T08:24:29Z |
| format | Article |
| id | doaj.art-0b9363c9598c43fe8f5712823980d540 |
| institution | Directory Open Access Journal |
| issn | 2405-8440 |
| language | English |
| last_indexed | 2024-03-13T08:24:29Z |
| publishDate | 2023-05-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Heliyon |
| spelling | doaj.art-0b9363c9598c43fe8f5712823980d5402023-05-31T04:46:12ZengElsevierHeliyon2405-84402023-05-0195e15982Examination of bio convection with nanoparticles containing microorganisms under the influence of magnetism fields on vertical sheets by five-order Runge-Kutta methodReza Fathollahi0As'ad Alizadeh1Yaghub Safari2Hossein Nabi3Mahmoud Shamsborhan4Fariborz Taghinia5Depatment of Engineering, Faculty of Khoy, Urmia University of Technology, IranDepartment of Civil Engineering, College of Engineering, Cihan University-Erbil, Erbil, IraqDepartment of Mechanical Engineering, Babol Noshirvani University of Technology, Babol, IranDepartment of Mechanical Engineering, Babol Noshirvani University of Technology, Babol, Iran; Corresponding author.Department of Mechanical Engineering, College of Engineering University of Zakho, Zakho, IraqDepartment of Mechanical Engineering, Babol Noshirvani University of Technology, Babol, IranIn 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.http://www.sciencedirect.com/science/article/pii/S2405844023031894Bio convective fluidMicroorganismsNanofluidMagnetic fieldVertical plate |
| spellingShingle | Reza Fathollahi As'ad Alizadeh Yaghub Safari Hossein Nabi Mahmoud Shamsborhan Fariborz Taghinia Examination of bio convection with nanoparticles containing microorganisms under the influence of magnetism fields on vertical sheets by five-order Runge-Kutta method Heliyon Bio convective fluid Microorganisms Nanofluid Magnetic field Vertical plate |
| title | Examination of bio convection with nanoparticles containing microorganisms under the influence of magnetism fields on vertical sheets by five-order Runge-Kutta method |
| title_full | Examination of bio convection with nanoparticles containing microorganisms under the influence of magnetism fields on vertical sheets by five-order Runge-Kutta method |
| title_fullStr | Examination of bio convection with nanoparticles containing microorganisms under the influence of magnetism fields on vertical sheets by five-order Runge-Kutta method |
| title_full_unstemmed | Examination of bio convection with nanoparticles containing microorganisms under the influence of magnetism fields on vertical sheets by five-order Runge-Kutta method |
| title_short | Examination of bio convection with nanoparticles containing microorganisms under the influence of magnetism fields on vertical sheets by five-order Runge-Kutta method |
| title_sort | examination of bio convection with nanoparticles containing microorganisms under the influence of magnetism fields on vertical sheets by five order runge kutta method |
| topic | Bio convective fluid Microorganisms Nanofluid Magnetic field Vertical plate |
| url | http://www.sciencedirect.com/science/article/pii/S2405844023031894 |
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