Analytical study of nano-bioconvective flow in a horizontal channel using Adomian decomposition method

Mohamed, Kezzar; Ismail, Tabet; Nourreddine, Nafir; Mohamed Rafik, Sari

doi:10.22061/jcarme.2018.3269.1367

Document Type : Research Paper

Authors

¹ Mechanical Engineering Department, University of Skikda, El Hadaiek Road, B. O. 26, 21000 Skikda, Algeria

² Physical Engineering Department, University of Skikda, El Hadaiek Road, B. O. 26, 21000 Skikda, Algeria.

³ Electrical Engineering Department, University of Skikda, El Hadaiek Road, B. O. 26, 21000 Skikda, Algeria

⁴ Laboratory of Industrial Mechanics, Badji Mokhtar University of Annaba, B. O. 12, 23000 Sidi Amar Annaba,

https://doi.org/10.22061/jcarme.2018.3269.1367

Abstract

In this paper, the bioconvective nanofluid flow in a horizontal channel was considered. Using the appropriate similarity functions, the partial differential equations of the studied problem resulting from mathematical modeling are reduced to a set of non-linear differential equations. Thereafter, these equations are solved numerically using the fourth order Runge-Kutta method featuring shooting technique and analytically via the Adomian decomposition method (ADM). This study mainly focuses on the effects of several physical parameters such as Reynolds number (Re), thermal parameter (𝛿_𝜃), microorganisms density parameter (𝛿_s) and nanoparticles concentration (𝛿_f) on the velocity, temperature, nanoparticle volume fraction and density of motile microorganisms. It is also demonstrated that the analytical ADM results are in excellent agreement with the numerical solution and those reported in literature, thus justifying the robustness of the adopted Adomian Decomposition Method.

Graphical Abstract

Keywords

20.1001.1.22287922.2020.9.2.7.1

Main Subjects

Fluid Mechanics

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Journal of Computational & Applied Research in Mechanical Engineering (JCARME)

Analytical study of nano-bioconvective flow in a horizontal channel using Adomian decomposition method

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References

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Volume 9, Issue 2 - Serial Number 18
February 2020
Pages 245-258

Analytical study of nano-bioconvective flow in a horizontal channel using Adomian decomposition method

References

References

Send comment about this article

Volume 9, Issue 2 - Serial Number 18February 2020Pages 245-258

Volume 9, Issue 2 - Serial Number 18
February 2020
Pages 245-258