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首页> 外文期刊>Physics of fluids >Darcy-Benard convection of Newtonian liquids and Newtonian nanoliquids in cylindrical enclosures and cylindrical annuli
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Darcy-Benard convection of Newtonian liquids and Newtonian nanoliquids in cylindrical enclosures and cylindrical annuli

机译：纽托尼亚液体和纽托尼亚纳米水稻圆柱形外壳和圆柱形纳米龙膳食的达西 - 邦

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摘要

An analytical study of linear and nonlinear Darcy-Benard convection of Newtonian liquids and Newtonian nanoliquids confined in a cylindrical porous enclosure is made. The effect of concentric insertion of a solid cylinder into the hollow circular cylinder on onset and heat transport is also investigated. An axisymmetric mode is considered, and the Bessel functions are the eigenfunctions for the problem. The two-phase model is used in the case of nanoliquids. Weakly nonlinear stability analysis is performed by considering the double Fourier-Bessel series expansion for velocity, temperature, and nanoparticle concentration fields. Water well-dispersed with copper nanoparticles of very high thermal conductivity, and one of the five different shapes is chosen as the working medium. The thermophysical properties of nanoliquids are calculated using the phenomenological laws and the mixture theory. It is found that the effect of concentric insertion of a solid cylinder into the hollow cylinder is to enhance the heat transport. The results of rectangular enclosures are obtained as limiting cases of the present study. In general, curvature enhances the heat transport and hence the heat transport is maximum in the case of a cylindrical annulus followed by that in cylindrical and rectangular enclosures. Among the five different shapes of nanoparticles, blade-shaped nanoparticles help transport maximum heat. An analytical expression is obtained for the Hopf bifurcation point in the cases of the fifth-order and the third-order Lorenz models. Regular, chaotic, mildly chaotic, and periodic behaviors of the Lorenz system are discussed using plots of the maximum Lyapunov exponent and the bifurcation diagram. Published under license by AIP Publishing.
机译：制备了牛顿液体线性和非线性达西益处对流的分析研究，包括圆柱形多孔外壳内狭窄的牛顿纳米胺。还研究了固体圆筒在发作和热传输上的中空圆柱体中的同心插入中空圆筒的效果。考虑轴对称模式，并且贝塞尔功能是问题的特征功能。两相模型用于纳米喹硫体的情况下。通过考虑速度，温度和纳米粒子浓度场的双傅里叶贝塞尔串联扩展来进行弱非线性稳定性分析。用非常高导热率的铜纳米颗粒分散的水分，并选择其中五种不同的形状之一作为工作介质。利用现象学法和混合理论计算纳米喹氢喹的热物理性质。发现将固体滚筒同心插入中空圆柱体的效果是增强热传输。获得矩形外壳的结果作为本研究的限制案例。通常，曲率增强热传输，因此在圆柱形环的情况下，热传输最大是最大的，在圆柱形和矩形外壳中。在五种不同形状的纳米颗粒中，叶片形纳米颗粒有助于运输最大热量。在第五阶和第三阶LORENZ模型的情况下，为HOPF分叉点获得分析表达。使用最大Lyapunov指数和分叉图的绘图讨论了Lorenz系统的定期，混乱，轻度混沌和周期性行为。通过AIP发布在许可证下发布。

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  • 来源
    《Physics of fluids》 |2019年第8期|共19页
  • 作者

    Siddheshwar P. G.; Lakshmi K. M.;

  • 作者单位

    Bangalore Univ Dept Math Jnana Bharathi Campus Bengaluru 560056 India;

    Bangalore Univ Dept Math Jnana Bharathi Campus Bengaluru 560056 India;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 流体力学;
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