Energy conservation of bio-nanofluids past a needle in the presence of Stefan blowing : lie symmetry and numerical simulation

Beg, OA; Zohra, FT; Uddin, MJ; Ismail, AIM

Abstract

Thermal energy management associated with the transmission of heat is one of the main
problems in many industrial setups (e.g. pharmaceutical, chemical and food) and bioengineering
devices (e.g. hospital ventilation, heating, cooling devices, heat exchanger and
drying food, etc). The current study aims to examine thermo-bioconvection of oxytactic
microorganisms taking place in a nanofluid-saturated needle with the magnetic field. Stefanblowing
is applied. The leading equations of continuity, momentum and energy, species
transport equations for oxygen concentration and population density of microorganisms are
reduced dimensionless and Lie symmetry group transformations are used to generate
appropriate invariant transformations. The resulting similarity boundary value problem (in
which the blowing parameter is coupled with concentration) have been simulated using
MATLAB (2015a) bvp5c built in function. The impact of the emerging factors on the
nondimensional velocity, temperature, nanoparticle concentration and motile microorganism
density functions and their slopes at the wall, are pictured and tabulated. Justification with
published results are included. It is found that all physical quantities decrease with Stefan
blowing and increase with power law index parameter. With elevation in magnetic field
parameter i.e., Lorentzian drag force, the friction factor
reduces while the local Nusselt number,
local Sherwood number, and the local motile microorganism density wall gradient increase.
Present study could be used in food and pharmaceutical industries, chemical processing
equipment, fuel cell technology, enhanced oil recovery, etc.

Citation

Beg, O., Zohra, F., Uddin, M., & Ismail, A. (2021). Energy conservation of bio-nanofluids past a needle in the presence of Stefan blowing : lie symmetry and numerical simulation. Case Studies in Thermal Engineering, 24, 100861. https://doi.org/10.1016/j.csite.2021.100861

• Journal Article Type: Article
• Acceptance Date: Jan 20, 2021
• Online Publication Date: Jan 28, 2021
• Publication Date: Apr 1, 2021
• Deposit Date: Jan 21, 2021
• Publicly Available Date: Feb 1, 2021
• Journal: Case Studies in Thermal Engineering
• Publisher: Elsevier
• Volume: 24
• Pages: 100861
• DOI: https://doi.org/10.1016/j.csite.2021.100861
• Publisher URL: https://doi.org/10.1016/j.csite.2021.100861
• Related Public URLs: http://www.journals.elsevier.com/case-studies-in-thermal-engineering/
• Additional Information: Funders : Universiti Sains Malaysia; Projects : Bionanofluid mechanics in magnetic field needle therapy; Grant Number: 1001/PMATHS/8011013