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Open AccessArticle

Numerical Investigation on the Swimming of Gyrotactic Microorganisms in Nanofluids through Porous Medium over a Stretched Surface

1
College of Astronautics, Nanjing University of Aeronautics & Astronautics, Nanjing 210016, China
2
College of Mathematics and Systems Science, Shandong University of Science & Technology, Qingdao 266590, China
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Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan
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Fulbright Fellow Department of Mechanical Engineering University of California Riverside, Riverside, CA 92521, USA
5
Center for Modeling & Computer Simulation, Research Institute, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(3), 380; https://doi.org/10.3390/math8030380
Received: 16 February 2020 / Revised: 5 March 2020 / Accepted: 5 March 2020 / Published: 9 March 2020
(This article belongs to the Special Issue Computational Fluid Dynamics 2020)
In this article, the effects of swimming gyrotactic microorganisms for magnetohydrodynamics nanofluid using Darcy law are investigated. The numerical results of nonlinear coupled mathematical model are obtained by means of Successive Local Linearization Method. This technique is based on a simple notion of the decoupling systems of equations utilizing the linearization of the unknown functions sequentially according to the order of classifying the system of governing equations. The linearized equations, that developed a sequence of linear differential equations along with variable coefficients, were solved by employing the Chebyshev spectral collocation method. The convergence speed of the SLLM technique can be willingly upgraded by successive applying over relaxation method. The comparison of current study with available published literature has been made for the validation of obtained results. It is found that the reported numerical method is in perfect accord with the said similar methods. The results are displayed through tables and graphs. View Full-Text
Keywords: successive local linearization method; swimming gyrotactic microorganisms; Darcy law; nanofluid successive local linearization method; swimming gyrotactic microorganisms; Darcy law; nanofluid
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Shahid, A.; Huang, H.; Bhatti, M.M.; Zhang, L.; Ellahi, R. Numerical Investigation on the Swimming of Gyrotactic Microorganisms in Nanofluids through Porous Medium over a Stretched Surface. Mathematics 2020, 8, 380.

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