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Dynamical System Analysis of Thermal Convection in a Horizontal Layer of Nanofluids Heated from Below

机译:从下方加热的纳米流体水平层中热对流的动力学系统分析

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摘要

The effect of nanofluids on chaotic convection in a fluid layer heated from below was studied in this paper for low Prandtl number based on the theory of dynamical systems. A low-dimensional, Lorenz-like model was obtained using Galerkin-truncated approximations. The fourth-order Runge-Kutta method was employed to solve the nonlinear system. The results show that inhibition of chaotic convection can be observed when using nanofluids.
机译:本文基于动力学系统理论,研究了低流体的普朗特数下纳米流体对从下方加热的流体层中混沌对流的影响。使用加勒金截断的近似值获得了低维的,类似于Lorenz的模型。采用四阶Runge-Kutta方法求解非线性系统。结果表明,当使用纳米流体时,可以观察到混沌对流的抑制。

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  • 来源
    《Mathematical Problems in Engineering 》 |2012年第8期| 128943.1-128943.13| 共13页
  • 作者单位

    School of Mathematical Sciences and Solar Energy Research Institute, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, Malaysia;

    School of Mathematical Sciences and Solar Energy Research Institute, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, Malaysia;

    Department of Mathematics, Faculty of Science, The University of Jordan, Amman 11942, Jordan;

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