Particulate Science And Technology, Journal Year: 2025, Volume and Issue: unknown, P. 1 - 20
Published: March 25, 2025
This study investigates the non-linear dynamical aspects of nano-fluid convection heated from below, with a focus on influence nano-particle volume fraction (ϕ) stability, bifurcations, and heat transfer efficiency. Understanding these effects is crucial for optimizing thermal transport in engineering industrial applications. The novelty this work lies demonstrating how increasing ϕ delays convective instability, suppresses chaos, alters mode to conduction—an aspect not extensively explored previous studies. Single-phase water-Cu model considered under specific assumptions. A low-dimensional system coupled ordinary differential equations derived using truncated Fourier expansions. Stationary emerges through pitchfork bifurcation at critical Rayleigh number rPF=M2M3M4, followed by oscillatory via Hopf bifurcation, where M2, M3 M4 are thermo-physical parameters base fluid nano-particles. Homoclinic explosions preturbulent states identified as global transitions. Results indicate that fixed point, Nusselt (Nu) decreases 33.6% over 100 time units increases 0.1. Additionally, intermittent frequency variations induces several periodic solutions. Notably, beyond ϕ≥0.187, undergoes transition conduction-dominated steady state. establishes role modulating flow dynamics, providing insights into controlling instabilities. findings contribute advancing models enhancing management strategies nano-fluid-based systems.
Language: Английский