Influence of Stefan blowing on nanofluid flow submerged in microorganisms with leading edge accretion or ablation

Beg, OA; Basir, MFM; Uddin, MJ; Ismail, AIM

Abstract

The unsteady forced convective boundary layer flow of viscous incompressible fluid containing both nanoparticles and gyrotactic microorganisms, from a flat surface with leading edge accretion (or ablation), is investigated theoretically. Utilizing appropriate similarity transformations for the velocity, temperature, nanoparticle volume fraction and motile microorganism density, the governing conservation equations are rendered into a system of coupled, nonlinear, similarity ordinary differential equations. These equations, subjected to imposed boundary conditions, are solved numerically using the Runge-Kutta-Fehlberg fourth-fifth order numerical method in the MAPLE symbolic software. Good agreement between our computations and previous solutions is achieved. The effect of selected parameters on flow velocity, temperature, nano-particle volume fraction (concentration) and motile microorganism density function is investigated. Furthermore, tabular solutions are included for skin friction, wall heat transfer rate, nano-particle mass transfer rate and microorganism transfer rate. Applications of the study arise in advanced micro-flow devices to assess nanoparticle toxicity.

Citation

Beg, O., Basir, M., Uddin, M., & Ismail, A. (2017). Influence of Stefan blowing on nanofluid flow submerged in microorganisms with leading edge accretion or ablation. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 39(11), 4519-4532. https://doi.org/10.1007/s40430-017-0877-7

• Journal Article Type: Article
• Acceptance Date: Jul 27, 2017
• Online Publication Date: Aug 7, 2017
• Publication Date: Aug 7, 2017
• Deposit Date: Aug 3, 2017
• Publicly Available Date: Aug 7, 2018
• Journal: Journal of the Brazilian Society of Mechanical Sciences and Engineering
• Print ISSN: 1678-5878
• Electronic ISSN: 1806-3691
• Publisher: Springer Verlag
• Volume: 39
• Issue: 11
• Pages: 4519-4532
• DOI: https://doi.org/10.1007/s40430-017-0877-7
• Publisher URL: http://dx.doi.org/10.1007/s40430-017-0877-7
• Related Public URLs: https://link.springer.com/journal/40430
• Additional Information: Funders : Universiti Sains Malaysia; Projects : NANOMECHANICS MODELLING AND APPLICATIONS; Grant Number: RU Grant 1001/PMATHS/8011013