Bidirectional non-linear stretched flow of Williamson nanofluid with swimming of motile gyrotactic microorganisms

Ying-Qing Song, Sami Ullah Khan, M Ijaz Khan, Muhammad Awais, Aamar Abbasi and Qiu-Hong Shi

Applied Mathematics and Computation, 2021, vol. 411, issue C

Abstract: The fields of material manufacture, graphic designing, information science, aerodynamics, plastic industry and biotechnology have been found to have a greater reliance on the phenomenon of fluid flow over three-dimensional realms. Consequently, this article has been focused to the study of Williamson nanofluid containing microorganisms over three-dimensional surface under the influence of magnetic field through bidirectional non-linearly stretched surface. To transform the set of nonlinear partial differential equations into ordinary differentials equations by using appropriate similarity transformation. These obtained fundamental ordinary differential equations are solved numerically by exploiting bvp4c process built-in MATLAB mathematical software. The presentation of the results has been made in form of graphs and tables to warrant the comparison between different scenarios. More specifically the parameters like temperature profile, velocity profile, motility of organisms, concentration profiles, Peclet numbers, Lewis number, Williamson parameters, material parameter, Brownian motion parameters, Rayleigh numbers and Prandtl number were presented as the graphical outcomes. The numerical data suggested that greater values of Schmidt number, thermophoresis parameters and Brownian motion reduce the coefficient of wall heat transfer. The study has its applications in transportation hypothesis that is utilized in many automotive and industrial processes. The field of industrial manufacturing has also many applications that consider flow over a bidirectional stretched surface. The current approach explores the cumulative effect of different physical features on the flow of Williamson fluid, and there is no such effort in the reviewed studies.

Keywords: Three-dimensional flow; Williamson nanofluid; Motile microorganisms; Numerical technique (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300321005919
Full text for ScienceDirect subscribers only

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:eee:apmaco:v:411:y:2021:i:c:s0096300321005919

DOI: 10.1016/j.amc.2021.126502

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().