Ferromagnetic and non-magnetic nano-particles in nanofluid flow from a stretching cylinder with magnetic induction: spectral relaxation solution

Beg, OA; Shamshuddin, MD; Ferdows, M; Rezwan, Mr; Kadir, A

Abstract

This paper studies the boundary layer flow and heat transfer in an incompressible viscous
electrically conducting nanofluid containing ferroparticles or non-magnetic nanoparticles external to
a stretching cylinder in the presence of magnetic induction. We consider water as a base fluid
embedded with the two types of nanoparticles namely magnetic (Manganese Franklinite (MnZnFe2O4), Ferric Oxide (Fe3O4)) and non-magnetic (Silicon Dioxide (SiO2), Nimonic 80a). The
governing non-linear partial differential equations and associated wall and free stream boundary
conditions are reduced to a set of non-linear ordinary differential equations with appropriate boundary
conditions using similarity transformation. The resulting equations are solved numerically using an
efficient, stable, spectral relaxation method (SRM). The SRM code is validated with available
solutions in the literature for limiting cases and excellent agreement is achieved. The emerging
boundary value problem is shown to be controlled by various magnetic, geometrical and nanoscale
parameters. The impact of these parameters on momentum and heat transfer characteristics are
visualized graphically and tabulated with comprehensive discussion. The local skin friction and local
Nusselt number are also presented graphically. The convergence rates achieved with standard SRM
and SRM with SOR (successive over relaxation) are also studied and the latter is observed to achieve
faster convergence. The SRM simulations show that with higher values of reciprocal of magnetic
Prandtl number (stronger magnetic diffusion relative to viscous diffusion) the boundary layer flow is
decelerated whereas the temperature is enhanced (thicker thermal boundary layer). Higher
acceleration is attained with non-magnetic nanoparticles (SiO2) whereas the best thermal
enhancement is obtained with magnetic nanoparticles (Fe3O4). Substantial acceleration of the flow is
also achieved with greater cylinder curvature parameter and enhanced magnetic induction and
temperature elevation is also produced.

Citation

Beg, O., Shamshuddin, M., Ferdows, M., Rezwan, M., & Kadir, A. Ferromagnetic and non-magnetic nano-particles in nanofluid flow from a stretching cylinder with magnetic induction: spectral relaxation solution. Presented at 2nd International Conference on Numerical Heat Transfer and Fluid Flow (NHTFF-2020) NIT Warangal, India – Jan 17-19, 2020, Department of Mathematics, National Institute of Technology, Warangal, India

• Presentation Conference Type: Other
• Conference Name: 2nd International Conference on Numerical Heat Transfer and Fluid Flow (NHTFF-2020) NIT Warangal, India – Jan 17-19, 2020
• Conference Location: Department of Mathematics, National Institute of Technology, Warangal, India
• End Date: Jan 19, 2020
• Acceptance Date: Dec 6, 2019
• Publication Date: Jan 19, 2020
• Deposit Date: Jan 2, 2020
• Publicly Available Date: Jan 20, 2020
• Publisher URL: http://cms.nitw.ac.in/conference/nhtff2020/
• Additional Information: Event Type : Conference