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Nonlinear rotating viscoelastic liquid convection with temperature modulation

机译:具有温度调制的非线性旋转粘弹性液体对流

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In this study, heat transport in thermal convection of rotating viscoelastic liquids heated from below with temperature modulation is analyzed. The study is performed using Fourier series with a minimal representation. The constitutive relationship of the Oldroyd liquid B model is taken into consideration. The resulting Khayat-Lorenz model in the generalized form is solved using the numerical technique of Runge-Kutta-Fehlberg 45 with the adaptive grid method, and this solution is used to quantify the heat transport. The combined effect of the temperature modulation and Coriolis force on the thermal convection is investigated for various values of the amplitude of modulation and Taylor number. It is shown that the temperature modulation and Coriolis force lead to the enhancement of heat transport. As particular cases, the results of three liquids, namely Maxwell, Newtonian, and Rivlin-Ericksen, are obtained in the current study, which are found to have a good agreement with the available results.
机译:在该研究中,分析了从下面与温度调制加热的旋转粘弹性液体热对流的热传输。该研究使用具有最小表示的傅立叶序列进行。考虑了oldroyd液体B模型的本构关系。通过具有自适应栅格方法的runge-kutta-fehlberg 45的数值技术来解决广义形式中的所得到的khayat-lorenz模型,并且该解决方案用于量化热传输。研究了温度调节和科里奥利力对热对流的综合影响,针对调制和泰勒数的幅度的各种值进行了研究。结果表明,温度调制和科里奥利力导致热传输的增强。在特定情况下,三种液体,即麦克斯韦,牛顿和罗维林 - 埃里克森的结果是在目前的研究中获得的,这发现与可用的结果有良好的一致性。

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