Axisymmetric radiative titanium dioxide magnetic nanofluid flow on a stretching cylinder with homogeneous/ heterogeneous reactions in Darcy-Forchheimer porous media : intelligent nanocoating simulation

Pattnaik, PK; Mishra, SR; Beg, OA; Khan, UF; Umavathi, JC

Abstract

Modern nanomaterials coating processes feature high temperature environments and complex chemical
reactions required for the precise synthesis of bespoke designs. Such flow processes are extremely
complex and feature both heat and mass transfer in addition to viscous behaviour. Intelligent nanocoatings exploit magnetic nanoparticles and can be manipulated by external magnetic fields.
Mathematical models provide an inexpensive insight into the inherent characteristics of such coating
dynamics processes. Motivated by this, in the current work, a novel mathematical model is developed
for dual catalytic reactive species diffusion in axisymmetric coating enrobing forced convection
boundary layer flow from a linearly axially stretching horizontal cylinder immersed in a homogenous
non-Darcy porous medium saturated with magnetic nanofluid. Homogeneous and heterogeneous
reactions, heat source (e.g. laser source) and non-linear radiative transfer are included. The Tiwari-Das
nanoscale model is deployed. A Darcy-Forchheimer drag force formulation is utilized to simulate both
bulk porous drag and second order inertial drag of the porous medium fibres. The magnetic nanofluid
is an aqueous electroconductive polymer comprising base fluid water and magnetic TiO2 nanoparticles.
The TiO2 nanoparticles are one chemically reacting species (A) and a second species (B) is
also present (e.g. oxygen) which also reacts chemically. Viscous heating and Ohmic dissipation
are also included to produce a more physically realistic thermal analysis. The non-linear conservation
equations proposed here with species diffusion (species A and B) are transformed via an appropriate
stream function and scaling variables into a set of non-linear united multi-degree ODEs. The rising
nonlinear ordinary differential boundary value problem is solved with four-point Gauss-Lobotto
formulae in the MATLAB bvp5c routine. Validation is conducted with an Adams-Moulton predictorcorrector numerical scheme (AM2 coded in Unix). The widespread visualization of velocity,
temperature, species A concentration, species B concentration, skin friction, local Nusselt number and
species A and B local Sherwood numbers is included.

Citation

Pattnaik, P., Mishra, S., Beg, O., Khan, U., & Umavathi, J. (2022). Axisymmetric radiative titanium dioxide magnetic nanofluid flow on a stretching cylinder with homogeneous/ heterogeneous reactions in Darcy-Forchheimer porous media : intelligent nanocoating simulation. Materials Science and Engineering: B, 277, 115589. https://doi.org/10.1016/j.mseb.2021.115589

• Journal Article Type: Article
• Acceptance Date: Dec 15, 2021
• Online Publication Date: Jan 4, 2022
• Publication Date: Mar 1, 2022
• Deposit Date: Jan 6, 2022
• Publicly Available Date: Jul 5, 2023
• Journal: Materials Science and Engineering: B
• Print ISSN: 0921-5107
• Publisher: Elsevier
• Volume: 277
• Pages: 115589
• DOI: https://doi.org/10.1016/j.mseb.2021.115589
• Publisher URL: https://doi.org/10.1016/j.mseb.2021.115589
• Related Public URLs: https://www.journals.elsevier.com/materials-science-and-engineering-b