低马赫数下微超临界范德华流体的湍流混合
Turbulent mixing of a slightly supercritical Van der Waals fluid at Low-Mach number
摘要:
超临界流体在临界点附近具有类似液体的密度和类似气体的输运性质。这些功能被有目的地利用在不同的情况下,从天然产品提取/分馏到航空航天推进。大部分的研究涉及这最后的背景下,集中在高马赫数的压缩性和热力学严格相互作用的超临界流体的动力学。尽管在低马赫数下也广泛使用,但在这一范围内,轻微超临界流体的湍流混合特性仍未得到详细研究。本文通过对同轴射流的直接数值模拟(DNS),讨论了微超临界范德华流体的流动特性。由于声学效应在许多工业应用中发现的低马赫数条件下是无关的,因此数值模型基于控制方程的适当低马赫数展开。根据实验观察,弱超临界状态的特征是在分离两股流的剪切层中形成指状结构-所谓的韧带。从模拟中提取了马赫数消失时韧带形成的机制,并提供了详细的统计特性。韧带总是形成时,高密度的对比发生,独立于真实或完美的气体行为。在韧带小尺度结构中发现了真实气体条件与理想气体条件之间的差异。更强烈的密度梯度和更薄的界面特征的近临界流体相比,完美气体的平滑行为。本文根据真实气体热力学性质给出了唯象解释。
英文摘要:
Supercritical fluids near the critical point are characterized by liquid-like densities and gas-like transport properties. These features are purposely exploited in different contexts ranging from natural products extraction/fractionation to aerospace propulsion. Large part of studies concerns this last context, focusing on the dynamics of supercritical fluids at high Mach number where compressibility and thermodynamics strictly interact. Despite the widespread use also at low Mach number, the turbulent mixing properties of slightly supercritical fluids have still not investigated in detail in this regime. This topic is addressed here by dealing with Direct Numerical Simulations (DNS) of a coaxial jet of a slightly supercritical Van der Waals fluid. Since acoustic effects are irrelevant in the Low Mach number conditions found in many industrial applications, the numerical model is based on a suitable low-Mach number expansion of the governing equation. According to experimental observations, the weakly supercritical regime is characterized by the formation of finger-like structures-- the so-called ligaments --in the shear layers separating the two streams. The mechanism of ligament formation at vanishing Mach number is extracted from the simulations and a detailed statistical characterization is provided. Ligaments always form whenever a high density contrast occurs, independently of real or perfect gas behaviors. The difference between real and perfect gas conditions is found in the ligament small-scale structure. More intense density gradients and thinner interfaces characterize the near critical fluid in comparison with the smoother behavior of the perfect gas. A phenomenological interpretation is here provided on the basis of the real gas thermodynamics properties.
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