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

Anwar Shahid, Hulin Huang, Muhammad Mubashir Bhatti, Lijun Zhang and Rahmat Ellahi
Additional contact information
Anwar Shahid: College of Astronautics, Nanjing University of Aeronautics & Astronautics, Nanjing 210016, China
Hulin Huang: College of Astronautics, Nanjing University of Aeronautics & Astronautics, Nanjing 210016, China
Muhammad Mubashir Bhatti: College of Mathematics and Systems Science, Shandong University of Science & Technology, Qingdao 266590, China
Lijun Zhang: College of Mathematics and Systems Science, Shandong University of Science & Technology, Qingdao 266590, China
Rahmat Ellahi: Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan

Mathematics, 2020, vol. 8, issue 3, 1-18

Abstract: 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.

Keywords: successive local linearization method; swimming gyrotactic microorganisms; Darcy law; nanofluid (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
https://www.mdpi.com/2227-7390/8/3/380/pdf (application/pdf)
https://www.mdpi.com/2227-7390/8/3/380/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:8:y:2020:i:3:p:380-:d:330195

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().