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Nonlinear analysis of the effect of viscoelasticity on ferroconvection

机译:粘弹性效果的非线性分析对铁菌化的影响

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This paper concerns a nonlinear analysis of the effects of viscoelasticity on convection in ferroliquids. We consider the Oldroyd model for the constitutive equation of the liquid. The linear stability analysis yields the critical value of the Rayleigh number for the onset of oscillatory convection in Maxwell and Jeffrey ferroliquids. The use of a minimal mode double Fourier series in the nonlinear perturbation equations yields a Khayat-Lorenz model for the ferromagnetic liquid, and that is scaled further to get the classical Lorenz model as a limiting case. The scaled Khayat-Lorenz model thus obtained is solved numerically and the solution is used to compute the time-dependent Nusselt number, which quantifies the heat transport. The results are analyzed for the dependence of the time-averaged Nusselt number on different parameters.
机译:本文涉及粘弹性对蕨类植物对流对流的影响的非线性分析。 我们考虑液体组成方程的oldroyd模型。 线性稳定性分析产生了Maxwell和Jeffrey Ferroliqus的振荡对流发作的瑞利数的临界值。 在非线性扰动方程中使用最小模式双傅里叶系列产生了铁磁液的Khayat-Lorenz模型,并且进一步缩放以将古典Lorenz模型作为限制案例。 由此获得的缩放的Khayat-Lorenz模型在数值上求解,并且解决方案用于计算定量热传输的时间依赖的营养数。 分析结果以在不同参数上的时间平均的讨论数的依赖性。

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