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Rayleigh-Benard convection of viscoelastic fluids in arbitrary finite domains

机译:任意有限域中的粘弹性流体的瑞利-贝纳德对流

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摘要

In the present work, we consider the linear hydrodynamic stability problems of viscoelastic fluids in arbitrary finite domains. The effects of domain shapes on the critical Rayleigh number and convection pattern are investigated by means of a linear stability analysis employing a Chebyshev pseudospectral method. It is shown that the domain shape can change the viscoelastic parameter values where the Hopf bifurcation occurs in the Rayleigh-Benard convection, The results of the present investigation may be exploited to design shapes of convection box where the Hopf bifurcation occurs at realistic low values of Deborah number. This will enhance the usefulness of the natural convection system as a rheometry tool.
机译:在目前的工作中,我们考虑了粘弹性流体在任意有限域中的线性流体动力稳定性问题。通过采用Chebyshev伪谱方法的线性稳定性分析,研究了域形状对临界瑞利数和对流模式的影响。结果表明,在瑞利-贝纳德对流中,霍普夫分叉发生时,畴的形状可以改变粘弹性参数值。本研究的结果可以被用来设计对流箱的形状,其中霍普夫分叉发生在实际的低值处。德博拉号。这将增强自然对流系统作为流变仪的实用性。

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