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- Title
Dynamics and Chaos of Convective Fluid Flow.
- Authors
Guo, Siyu; Luo, Albert C. J.
- Abstract
In this paper, a mathematical model of fluid flows in a convective thermal system is developed, and a five-dimensional dynamical system is developed for the investigation of the convective fluid dynamics. The analytical solutions of periodic motions to chaos of the convective fluid flows are developed for steady-state vortex flows, and the corresponding stability and bifurcations of periodic motions in the five-dimensional dynamical system are studied. The harmonic frequency-amplitude characteristics for periodic flows are obtained, which provide energy distribution in the parameter space. Analytical homoclinic orbits for the convective fluid flow systems are developed for the asymptotic convection through the infinite-many homoclinic orbits in the five-dimensional dynamical system. The dynamics of fluid flows in the convective thermal systems are revealed, and one can use such methodology to predict atmospheric and oceanic phenomena through thermal convections.
- Subjects
CONVECTIVE flow; PERIODIC motion; FLUID flow; STEADY-state flow; DYNAMICAL systems; FLUID-structure interaction
- Publication
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2024, Vol 34, Issue 7, p1
- ISSN
0218-1274
- Publication type
Article
- DOI
10.1142/S0218127424300155