Computation of bio-nano-convection power law slip flow from a needle with blowing effects in a porous medium

Uddin, J; Amirsom, NA; Beg, OA; Ismail, AI

Abstract

Transport phenomena with fluid flow, heat, mass, nanoparticle species and microorganism transfer
external to a needle in a porous medium have many biomedical engineering applications (e. g.
hypodermic needles used in hemotology). It is also used to design many biomedical engineering
equipments and coating flows with bio-inspired nanomaterials. Coating flows featuring
combinations of nanoparticles and motile micro-organisms also constitute an important application
area. A mathematical model for convective external boundary layer flow of a power-law nanofluid
containing gyrotactic micro-organisms past a needle immersed in a Darcy porous medium is
developed. Multiple slips boundary conditions and Stefan blowing effects at the needle boundary
are taken into account. The model features a reduced form of the conservation of mass, momentum,
energy, nanoparticle species and motile micro-organism equations with appropriate coupled
boundary conditions. The governing nonlinear partial differential equations (NPDEs) are
converted to dimensionless form and appropriate invariant transformations are applied to obtain
similarity ordinary differential equations (SODE). The transformed equations have been solved
numerically using the in-built Matlab bvp4c function. The influence of the emerging parameters
on the dimensionless velocity, temperature, nanoparticle concentration, motile micro-organism
density functions, skin friction, heat, mass, and micro-organism transfers) are discussed in detail.
It is found that velocity decreases whilst temperature, concentration, and density of motile microorganism increase with an increase in blowing parameter for shear thinning (pseudoplastic),
Newtonian, and shear thickening (dilatant) fluids. It is also found that skin friction, Nusselt number
(dimensionless heat transfer rate), Sherwood number (dimensionless nanoparticle mass transfer
rate) and motile micro-organism wall density gradient decrease with increasing blowing, Darcy,
power law and needle size parameters. Comparison with the earlier published results is also
included and an excellent agreement is obtained.

Citation

Uddin, J., Amirsom, N., Beg, O., & Ismail, A. (in press). Computation of bio-nano-convection power law slip flow from a needle with blowing effects in a porous medium. Waves in Random and Complex Media, https://doi.org/10.1080/17455030.2022.2048919

• Journal Article Type: Article
• Acceptance Date: Feb 25, 2022
• Online Publication Date: Mar 21, 2022
• Deposit Date: Feb 28, 2022
• Publicly Available Date: Mar 21, 2023
• Journal: Waves in Random and Complex Media
• Print ISSN: 1745-5030
• Electronic ISSN: 1745-5049
• Publisher: Taylor and Francis
• DOI: https://doi.org/10.1080/17455030.2022.2048919
• Publisher URL: https://doi.org/10.1080/17455030.2022.2048919
• Related Public URLs: https://www.tandfonline.com/journals/twrm20
• Additional Information: Access Information : This is an Accepted Manuscript of an article published by Taylor & Francis in Waves in Random and Complex Media on 21st March 2022, available online: http://www.tandfonline.com/10.1080/17455030.2022.2048919.