Volume viscosity in fluids with multiple dissipative processes
Volume viscosity in fluids with multiple dissipative processes
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具有多个耗散过程的流体的体积粘度
DOI：
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
R. Ash
中科院分区：
文献类型：
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作者：
A. J. Zuckerwar;R. Ash
应用哈密顿变分原理，导出了具有多耗散过程的反应流体的体积粘性系数。与单耗散过程的情况一样，该过程在Navier-Stokes方程中产生了两个耗散项：第一个是传统的体积粘性项，与速度的膨胀分量成比例；第二个项与压力梯度的物质时间导数成比例。假定每个耗散过程都是相互独立的。在含有具有多个松弛过程的单一组分的流体中，多个过程的松弛时间在各自的体积粘度项中是相加的。如果流体包含几个松弛组分(每个松弛过程都有一个松弛过程)，则松弛时间也是累加的，但由流体组分的摩尔分数加权。导出了广义状态方程，并考虑了两种特殊情况：...
The variational principle of Hamilton is applied to derive the volume viscosity coefficients of a reacting fluid with multiple dissipative processes. The procedure, as in the case of a single dissipative process, yields two dissipative terms in the Navier–Stokes equation: The first is the traditional volume viscosity term, proportional to the dilatational component of the velocity; the second term is proportional to the material time derivative of the pressure gradient. Each dissipative process is assumed to be independent of the others. In a fluid comprising a single constituent with multiple relaxation processes, the relaxation times of the multiple processes are additive in the respective volume viscosity terms. If the fluid comprises several relaxing constituents (each with a single relaxation process), the relaxation times are again additive but weighted by the mole fractions of the fluid constituents. A generalized equation of state is derived, for which two special cases are considered: The case of...