Nonlinear Analysis for Dynamics of Ferric Oxide (Fe3O4) Nanoparticles
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Abstract
In the present study, the analysis of the ferro-nanofluidic flow for magnetic and temperature variability with magnetite (Fe3O4) nanoparticles through blood vessels along with cholesterol decomposition in a cylindrical cavity system is studied. Nonlinear analysis using time series analysis, phase space analysis discussed. Lyapunov Indicators in this study compute regulated and chaotic motions of the non-linearity. Fixed points have been simulated and stable, critical and chaotic states are observed for non-uniform-deposition of cholesterol. Lyapunov Exponents and Bifurcation analysis also carried out for variation in Hartman number (H) and Reynold number (R). Entropy quantifies the probability of haphazardness in the dynamism. It can be concluded that for non-uniform cholesterol-deposition, R is high in value for the chaotic behaviour. Thus, patient with non-uniform cholesterol deposition has better chance of survival as randomness happens at risky conditions and due to non-uniformity of deposition there exist narrow passages which provide stable flow.
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