In order to choose the threshold of different fluid state and reveal the physical mechanism of the flow, the thermal convection of channel flow of viscous fluid is investigated by the chaos dynamics in this paper, in which the temperature at lower plate is slightly higher than the upper plate. Based on the Navies-Stokes equations of viscous fluids, the heat conduction equations of the troposphere, the changes of temperature and velocity fields and a truncated Fourier representation, the low-dimensional nonlinear dynamic equations of viscous fluids can be obtained; Then, the low-dimensional nonlinear dynamic equations reduce to the Lorenz equations, the variations of bifurcation curve of the flow state with Prandtl and Rayleigh parameters were analyzed by the chaos dynamics. It can be seen that the Lyapunov exponent curve of the output characteristics of the system vary with Re parameters, and reveals the relationship between the threshold of Prandtl and Rayleigh parameters, as well as the flow state. The research of this article have important reference values on the physical mechanism and flow characteristics of viscous fluids.
- Fluids Engineering Division
Research on the Threshold of Flow State of Viscous Fluids Based on Chaotic Dynamics
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Lan, C, Su, W, Zhang, M, Cai, W, & Li, F. "Research on the Threshold of Flow State of Viscous Fluids Based on Chaotic Dynamics." Proceedings of the ASME 2016 Fluids Engineering Division Summer Meeting collocated with the ASME 2016 Heat Transfer Summer Conference and the ASME 2016 14th International Conference on Nanochannels, Microchannels, and Minichannels. Volume 1B, Symposia: Fluid Mechanics (Fundamental Issues and Perspectives; Industrial and Environmental Applications); Multiphase Flow and Systems (Multiscale Methods; Noninvasive Measurements; Numerical Methods; Heat Transfer; Performance); Transport Phenomena (Clean Energy; Mixing; Manufacturing and Materials Processing); Turbulent Flows — Issues and Perspectives; Algorithms and Applications for High Performance CFD Computation; Fluid Power; Fluid Dynamics of Wind Energy; Marine Hydrodynamics. Washington, DC, USA. July 10–14, 2016. V01BT14A012. ASME. https://doi.org/10.1115/FEDSM2016-7775
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