The analysis of ferro-nanofluidic flow is carried out for magnetic and temperature variability. Indicators such as Small Alignment Index (SALI), Fast Lyapunov Indicator (FLI) and Dynamic Lyapunov Indicator (DLI) compute regular as well as chaotic motions. LCEs & Bifurcations also carried out for Ha as well as Ra variations. Entropy quantifies probability of haphazardness in the dynamism. It is observed that for case of rectangular cavity this chaotic state begins through Ra = 26.2 indicating that at extremely high temperatures this rectangular cavity becomes randomized proving that whenever these blood vessels have non-uniform deposition even if there is regular flow, patient has a better chance at survival as randomness happens and due to non-uniformity of deposition there exist narrow in between passages that provide stable blood- flow.