起伏振动倾斜上升管气液两相流摩擦阻力分析与计算

doi:10.11949/0438-1157.20211106

摘要/Abstract

摘要：

起伏振动下气液两相流摩擦压降的准确计算对海洋核动力的发展有重要意义。实验研究了不同振动和流动工况下30°倾斜上升管气液两相流摩擦压降的变化规律。结果表明，起伏振动下摩擦压降波动幅度和平均值显著增大。与静止状态相比，起伏振动下摩擦压降的多尺度熵值除泡状流外明显增大，且呈现大幅振荡现象，流动不稳定性更加显著。静止状态摩擦压降模型计算结果与实验值误差较大，现有模型对于起伏振动状态不适用。分析流动和振动参数对摩擦阻力系数的影响，发现其与均相雷诺数成反比，与振动幅值以及频率成正比。以大量实验数据为基础，建立了适用于起伏振动状态的摩擦阻力系数计算关系式，计算与实验结果吻合较好。

关键词: 气液两相流, 起伏振动, 倾斜上升管, 摩擦压降, 预测, 模型

Abstract:

Accurate calculation of frictional pressure drop of gas-liquid two-phase flow under fluctuating vibration is of great significance to the development of marine nuclear power. The variation of frictional pressure drop of gas-liquid two-phase flow in a 30° inclined riser pipe under different vibration and flow conditions was studied by experiment. The results show that the fluctuation amplitude and average value of friction pressure drop increase significantly under fluctuating vibration. Compared with the static state, the multi-scale entropy of friction pressure drop increases obviously except bubble flow, and the phenomenon of large-scale oscillation is present, which indicates that the instability of gas-liquid two-phase flow is more significant. The calculated results of the static friction pressure drop model are quite different from the experimental values, and the existing models are not suitable for the fluctuating vibration state. It is found that the friction coefficient is inversely proportional to the homogeneous Reynolds number and directly proportional to the vibration amplitude and frequency. Based on a large number of experimental data, the calculation formula of friction resistance coefficient suitable for fluctuating vibration state is established, and the calculation results are in good agreement with the experimental results.

Key words: gas-liquid flow, fluctuating vibration, inclined riser pipe, friction resistance, prediction, model

中图分类号:

TL 334

周云龙, 刘起超. 起伏振动倾斜上升管气液两相流摩擦阻力分析与计算[J]. 化工学报, 2022, 73(2): 643-652.

Yunlong ZHOU, Qichao LIU. Analysis and calculation of friction resistance of gas-liquid flow in inclined riser pipe under fluctuating vibration[J]. CIESC Journal, 2022, 73(2): 643-652.

图/表 15

图1 实验系统

Fig.1 Experimental system

表1 实验仪器及不确定度

Table 1 Experimental instrument and uncertainty

仪器	量程	精度	不确定度
电磁流量计	0~10 m³/h	0.5%	0.94%~4.03%
质量流量计	0~30 m³/h	1%	1.8%~5.59%
差压变送器	0~25 kPa	0.1%	0.326%~2.002%

表2 两相动力黏度计算模型

Table 2 Calculation model of two phase dynamic viscosity

模型	关系式
McAdams^[2]	$1 / μ t p = x / μ g + (1 - x) / μ w$
Beattie-Whalley^[3]	$μ t p = β μ g + (1 - β) (1 + 2.5 β) μ w$
Duckler^[4]	$μ t p = β μ g + (1 - β) μ w$
Awad-Muzychka^[5]	$μ t p = μ g 2 μ g + μ w - 2 (μ g - μ w) (1 - x) 2 μ g + μ w + (μ g - μ w) (1 - x)$

表2 两相动力黏度计算模型

Table 2 Calculation model of two phase dynamic viscosity

模型	关系式
McAdams^[2]	$1 / μ t p = x / μ g + (1 - x) / μ w$
Beattie-Whalley^[3]	$μ t p = β μ g + (1 - β) (1 + 2.5 β) μ w$
Duckler^[4]	$μ t p = β μ g + (1 - β) μ w$
Awad-Muzychka^[5]	$μ t p = μ g 2 μ g + μ w - 2 (μ g - μ w) (1 - x) 2 μ g + μ w + (μ g - μ w) (1 - x)$

图2 静止管道不同模型计算误差分布

Fig.2 Calculation errors distribution of different models of static pipe

表3 静止管道不同模型计算值与实验值误差

Table 3 The errors between calculated values of different models and experimental values in static pipe

模型		E_MA/%	30%以内占比/%
均相模型	McAdams	27.86	47.85
	Beattie-Whalley	31.93	38.04
	Duckler	31.76	34.36
	Awad-Muzychka	33.45	30.06
分相模型	Chisholm	28.32	53.99
	Sun and Mishima	29.87	44.17
	Müller and Heck	27.22	51.53

图3 静止和起伏振动管道摩擦压降波动

Fig.3 Friction pressure drop fluctuation of static and fluctuating vibration pipe

图4 静止和起伏振动管道摩擦压降功率谱

Fig.4 Power spectrum of frictional pressure drop in static and fluctuating vibration pipeline

图5 不同流动工况起伏和静止管道摩擦压降多尺度熵

Fig.5 Multi scale entropy of frictional pressure drop in fluctuating and stationary pipes under different flow conditions

图6 振动加速度和摩擦压降波动及频率分析

Fig.6 Vibration acceleration and friction pressure drop fluctuation and frequency analysis

图7 不同雷诺数下的摩擦阻力系数

Fig.7 Friction coefficient at different Reynolds numbers

图8 不同振动幅度下的摩擦阻力系数

Fig.8 Friction coefficient under different vibration amplitude

图9 不同振动频率下的摩擦阻力系数

Fig.9 Friction coefficient under different vibration frequencies

图10 不同倾角下的摩擦阻力系数

Fig.10 Friction coefficient under different tilt angle

图11 振动摩擦阻力系数计算值和实验值的比较

Fig.11 Comparison between calculated and experimental values of friction coefficient of vibration

图12 新建模型计算结果误差分布

Fig.12 Error distribution of new model calculation results

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