Chaotic Convection in a Ferrofluid with Internal Heat Generation

Authors

  • Nor Halawati Senin Laboratory of Computational Sciences and Mathematical Physics, Institute for Mathematical Research (INSPEM), Universiti Putra Malaysia, Malaysia
  • Nor Fadzillah Mohd Mokhtar Laboratory of Computational Sciences and Mathematical Physics, Institute for Mathematical Research (INSPEM), Universiti Putra Malaysia, Malaysia
  • Mohamad Hasan Abdul Sathar Centre of Foundation Studies for Agricultural Science, Universiti Putra Malaysia, Malaysia

DOI:

https://doi.org/10.37934/cfdl.12.10.6274

Keywords:

Chaotic convection, ferrofluid, internal heating

Abstract

The nonlinear stability analysis of a ferrofluid layer system is formulated mathematically. This system considered the upper and lower free isothermal boundary with the system heated from below. A mathematical formulation is produced to study the behaviour of the chaotic convection in a ferrofluid layer system using Galerkin truncated expansion. The Boussinesq approximation is opted with the existence of internal heating and the magnetic number. It is found that the transition to chaos in this present study is identical to the Lorenz attractor and thus validate the method and analysis of this study. The impact of elevating the internal heat generation is found to hasten the instability of the system and as for the magnetic number, at M1 = 2.5 the homoclinic bifurcation occurs and thus accelerates the convection process.

Downloads

Published

2020-11-01

How to Cite

Senin, N. H. ., Mohd Mokhtar, N. F. ., & Abdul Sathar, M. H. . (2020). Chaotic Convection in a Ferrofluid with Internal Heat Generation. CFD Letters, 12(10), 62–74. https://doi.org/10.37934/cfdl.12.10.6274

Issue

Section

Articles