Existence of a codimension-2 point at the threshold of binary-fluid convection between rigid, impermeable boundaries.

Existence of a codimension-2 point at the threshold of binary-fluid convection between rigid, impermeable boundaries.
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在刚性、不渗透边界之间的二元流体对流阈值处存在余维 2 点。

DOI:
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发表时间:
1988
期刊:
Physical review. A, General physics
影响因子:
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通讯作者:
Kim
Kim
中科院分区:
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文献类型:
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作者:
Cross;Kim

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在刚性、不渗透边界之间的二元流体混合物中振荡和静止对流的线性不稳定性的数值计算表明,振荡解的临界波数和频率不连续地跳跃,因为阈值瑞利数是流体参数的函数,这与最近b.j.a. Zielinska和h.r. Brand[物理学家]的声明相反。[j].中华医学会杂志,1999,19(3)。只有当起始解的波数受到约束时,才能找到一个退化的余维数为2的点。
Numerical calculation of the linear instability to oscillatory and stationary convection in binary-fluid mixtures between rigid, impermeable boundaries shows that the critical wave number and frequency of the oscillatory solution jump discontinuously as the threshold Rayleigh number is followed as a function of fluid parameters, contrary to a recent claim of B. J. A. Zielinska and H. R. Brand [Phys. Rev. A 35, 4349 (1987)]. A degenerate codimension-2 point is found only if the wave numbers of the onset solutions are constrained.