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Prediction of Performance for an Ejector Refrigeration Cycle Workingwith R245fa Using Artificial Neural Network 基于人工神经网络的R245fa喷射器制冷循环性能预测
Mehdi Bencharif, S. Croquer, Sébastien Poncet, S. Zid, H. Nesreddine
In this paper, an artificial neural network (ANN) model is used to predict the performance parameters of an ejector refrigeration cycle working with R245fa. Three approaches are used to achieve this objective: experimental analysis, thermodynamic modeling, and artificial neural network. Fourteen parameters were collected from eight numerical or experimental studies. The ANN input parameters include geometric features (Dcol, Dprimout, NXP, Dcas, Lcas, Dout, Ldiff) and operating conditions (Pprim, Tprim, Psec, Tsec, Tcond), while the outputs are the ejector performance metrics. A computer program has been written in MATLAB using a neural network toolbox. The mean-square error (MSE) and the linear coefficient of correlation (R) have been chosen as metrics to evaluate the performance function and accuracy of the ANN model. In terms of the limiting compression ratio (Pcr) and entrainment ratio (ω), the ANN deviates by 3.63 (%) and 1.52 (%) respectively relative to the experimental data and by -4.01 (%) and -6.17 (%) relative to the thermodynamic model predictions.
本文采用人工神经网络(ANN)模型对R245fa喷射式制冷循环的性能参数进行了预测。三种方法被用来实现这一目标:实验分析,热力学建模和人工神经网络。从8个数值或实验研究中收集了14个参数。人工神经网络的输入参数包括几何特征(Dcol, Dprimout, NXP, Dcas, Lcas, Dout, Ldiff)和操作条件(prim, Tprim, Psec, Tsec, Tcond),而输出是弹射器的性能指标。利用神经网络工具箱在MATLAB中编写了一个计算机程序。选择均方误差(MSE)和线性相关系数(R)作为指标来评价人工神经网络模型的性能函数和精度。在极限压缩比(Pcr)和夹带比(ω)方面,人工神经网络相对于实验数据分别偏离了3.63(%)和1.52(%),相对于热力学模型预测分别偏离了-4.01(%)和-6.17(%)。
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引用次数: 0
Carbon Dioxide – Based Energy Storage System: a ThermodynamicApproach 基于二氧化碳的储能系统:一种热力学方法
J. Lamotte, S. Poncet
Extended Abstract Compressed gas energy storage systems attract progressively the attention of researchers. Coupled to renewable energy sources, they enable to align the electrical energy demand with its production by overcoming their intermittency nature. They may also produce heating and cooling at the same time. They offer a green solution for remote communities but also for provinces where the price of electricity may highly vary during a day. The performances of systems working with air have been extensively evaluated thermodynamically and experimentally for decades and these technologies have already been implemented at a large scale (see the sites of Huntorf and MacIntosh). On the contrary, only few works focused on carbon dioxide as energy transfer medium. With the development of carbon dioxide capture and transport technologies, it appears as a nice way to massively revaluate CO2 and by the way to limit its emissions and climate change. After an exhaustive literature review on the capture, transport and utilization of carbon dioxide in energy storage systems, a thermodynamic model based on real fluid properties is developed. It evaluates the thermodynamic performances of an innovative cycle proposed recently by Liu et al. (2020). The influences of the turbine inlet pressure and temperature, compressor inlet and outlet pressures, charging/discharging times, the CO2 mass flowrate and isentropic efficiencies are quantified in details. Some improvements are then proposed to both diminish the price of the system and reduce the throttling losses by integrating transcritical ejectors. The integration of vortex tubes could be also beneficial for cooling and heating production.
压缩气体储能系统日益受到研究人员的关注。与可再生能源相结合,它们能够克服其间歇性,使电能需求与其生产保持一致。它们也可能同时产生加热和冷却。它们不仅为偏远社区提供了绿色解决方案,也为一天内电价变化很大的省份提供了绿色解决方案。与空气一起工作的系统的性能已经被广泛地评估了几十年的热力学和实验,这些技术已经在大规模实施(见Huntorf和MacIntosh的网站)。相反,只有少数作品关注二氧化碳作为能量传递介质。随着二氧化碳捕获和运输技术的发展,这似乎是一种大规模重新评估二氧化碳的好方法,顺便限制其排放和气候变化。在对二氧化碳在储能系统中的捕获、传输和利用进行了详尽的文献综述之后,建立了一个基于真实流体性质的热力学模型。它评估了Liu等人(2020)最近提出的创新循环的热力学性能。详细量化了涡轮进口压力和温度、压气机进出口压力、充放电次数、CO2质量流量和等熵效率的影响。然后提出了一些改进措施,既降低了系统的价格,又通过集成跨临界喷射器减少了节流损失。涡流管的集成也可能有利于冷却和加热生产。
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引用次数: 0
Experiments on supercritical flow instability in two vertical parallelchannels 两个垂直平行通道内超临界流动不稳定性实验
I. Singh, V. Chatoorgoon
Very limited experimental data on supercritical flow instability is present in the literature. To enrich this limited database and to further the understanding of supercritical flow instability, an experimental study was conducted using two vertical parallel channels with supercritical CO2. A total of 7 experimental cases were performed with a system pressure range of 8.25 – 9.1MPa and inlet temperatures 0.5 – 10.05 °C. The channel inlet temperature and system pressure were held constant and the input power was increased gradually until mass flow oscillations commenced. The distribution of mass flow rate in the channels with input power increase was examined. Initially, at low input power, the flow rate in the channels was almost equal, with an increase in input power, it got distributed in channels and become asymmetric, and with the further input power increase, it started oscillating 180 °out-of-phase. The results for seven experimental cases are presented and these would be useful for code validation purposes.
文献中关于超临界流动不稳定性的实验数据非常有限。为了丰富这个有限的数据库,并进一步了解超临界流动的不稳定性,使用两个垂直平行通道进行了超临界CO2的实验研究。共进行了7个实验,系统压力范围为8.25 ~ 9.1MPa,进口温度为0.5 ~ 10.05℃。通道入口温度和系统压力保持不变,输入功率逐渐增加,直到质量流量振荡开始。研究了质量流率随输入功率增大的分布规律。最初,在低输入功率时,通道内的流量基本相等,随着输入功率的增加,流量在通道内分布,变得不对称,随着输入功率的进一步增加,流量开始180°的反相振荡。给出了七个实验案例的结果,这些结果将对代码验证有用。
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引用次数: 1
2D Frost Growth and Densification Model in CounterflowHeat Exchanger 逆流式换热器中二维结霜生长和致密化模型
Alexandre Coulombe, H. Fellouah, Sébastien Poncet
When a heat recovery ventilator is operating under winter conditions, the water vapor present in the exhaust airflow can lead to frost formation. The outside temperature at which frost formation occurs depends on many variables such as the heat exchanger plate temperature, the exhaust air humidity ratio, the exhaust airflow and the plate spacing. In this study, a new 2D frost formation model is proposed and applied to counterflow parallel plate heat exchangers. The method is based on a frost growth and densification model. The frost densification depends on the square root of the time and the ratio of supercooling and supersaturation degree. An energy balance equation for the heat conduction through the frost layer and the heat and mass transfer from the moist air to the frost layer is used as a convergence criterion on the frost surface temperature prediction. The proposed 2D model showed that the airflow from a 2.5 mm parallel plate spacing heat exchanger can be reduced as much as 33% over a 25 minutes period. While a larger plate spacing, such as a 4.0 mm spacing, is less prone to airflow reduction due to frost growth, less than 5% reduction over the same time period, the 2.5 mm spacing is still more efficient than the 4.0 mm spacing at the end of the 25 minutes period, with efficiencies of 77% and 55% respectively.
当热回收通风机在冬季条件下运行时,排气气流中的水蒸气会导致结霜。发生结霜的外部温度取决于许多变量,如热交换器板温度、排风湿度比、排风气流和板间距。本文提出了一种新的二维结霜模型,并将其应用于逆流平行板式换热器。该方法基于霜的生长和致密化模型。霜的致密化取决于时间的平方根和过冷度与过饱和度的比值。利用霜层热传导和湿空气向霜层传热传质的能量平衡方程作为霜层表面温度预报的收敛准则。所提出的二维模型表明,2.5 mm平行板间距换热器的气流在25分钟内可减少33%。虽然较大的板间距(如4.0 mm间距)不太容易因霜生长而导致气流减少,在同一时间段内减少量小于5%,但在25分钟结束时,2.5 mm间距仍然比4.0 mm间距更有效,效率分别为77%和55%。
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引用次数: 0
Droplet Heating and Evaporation: Recent Developments of SimpleModels of Complex Processes 液滴加热和蒸发:复杂过程的简单模型的最新进展
S. Sazhin
Extended Abstract The most recent and important developments in the modelling of heating and evaporation of mono- and multi-component droplets since the publication of the author’s monograph [1] and review paper [2] are reviewed. In contrast to the models used in most engineering applications, the effects of temperature and species mass fraction gradients within spherical droplets are considered based on the analytical solution to the one-dimensional heat transfer and species diffusion equations, assuming that the heating process is also spherically symmetrical. It is shown that this approach is particularly useful for practical applications in CFD codes. The models were implemented into the ANSYS Fluent CFD code using User-Defined Functions (UDF). The predictions of this code, inclusive of the new models, were verified against the results predicted by the in-house research code [3]. In the case of hydrocarbon fuels with large numbers of components a multi-dimensional quasi-discrete model has been developed. In this model, the contributions of individual components are replaced by the contributions of groups of components with close transport and thermodynamic properties, called quasi-components [2]. A new, relatively simple, approach to the modelling of heating and evaporation of suspended droplets that can be applied to water sprays for fire suppression [4], and the modelling of heating and evaporation of multi-component liquid films are discussed [5]. Simplified approaches to the modelling of micro-explosions for automotive applications are presented. These approaches are based on analytical solutions to the heat conduction equation in a composite droplet with Dirichlet and Robin boundary conditions at the droplet surface, and continuity conditions at the fuel-water interface [6,7]. In the latter model, the time instant when the temperature at the water-fuel interface is equal to the water nucleation temperature is associated with the start of puffing/micro-explosion.
本文综述了自作者专著[1]和综述论文[2]发表以来,单组分和多组分液滴加热和蒸发建模的最新和重要进展。与大多数工程应用中使用的模型相反,假设加热过程也是球对称的,基于一维传热和物质扩散方程的解析解,考虑了球形液滴内温度和物质质量梯度的影响。结果表明,这种方法是特别有用的实际应用CFD代码。使用用户定义函数(UDF)将模型实现到ANSYS Fluent CFD代码中。该代码的预测(包括新模型)与内部研究代码[3]预测的结果进行了验证。对于含有大量组分的碳氢燃料,建立了多维准离散模型。在该模型中,单个组分的贡献被具有紧密输运和热力学性质的组分群(称为准组分)的贡献所取代[2]。本文讨论了一种新的、相对简单的方法来模拟可用于灭火喷水的悬浮液滴的加热和蒸发[4],以及多组分液体膜的加热和蒸发建模[5]。提出了汽车微爆炸模型的简化方法。这些方法基于复合液滴热传导方程的解析解,液滴表面具有Dirichlet和Robin边界条件,燃料-水界面具有连续性条件[6,7]。在后一种模型中,水-燃料界面温度等于水成核温度的时间瞬间与膨化/微爆炸的开始有关。
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引用次数: 0
Theoretical and Experimental Investigations for the Virtual Mass of aTaylor Bubble 泰勒气泡虚质量的理论与实验研究
A. Kendoush, Warren E. Overton
An exact theoretical analysis was presented for the virtual mass of the Taylor bubble. The present theoretical results were validated experimentally and proved the earlier results of Kendoush [1] were grossly approximate. An experiment was designed, installed, and tested for the purpose of obtaining the virtual mass by using a 3-D manufactured polymeric Taylor bubble.
对泰勒气泡的虚质量进行了精确的理论分析。本文的理论结果经过实验验证,证明了Kendoush[1]的早期结果是大致近似的。设计、安装并测试了利用三维合成聚合物泰勒泡获得虚质量的实验装置。
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引用次数: 0
The Impact of the Location of Temperature Sensors on the Accuracy ofTransient-State Temperature Distribution Identification 温度传感器位置对瞬态温度分布识别精度的影响
M. Konieczny
Extended Abstract Many structures in various technical applications operate under strong thermal conditions. Steadyor transient-state heat transfer phenomena can create substantial temperature differences which should not exceed the allowable limit. The common problem of calculating the temperature field is the difficulty in accessing some of the thermal boundary conditions in operated elements. This usually concerns internal surfaces, where the fluid is in contact with the element. Numerical analysis of phenomena taking place in a flowing fluid is very time-consuming. Another way to determine the temperature distribution is to find the solution of the inverse heat conduction problem (IHCP) in the device under analysis [1-4] and verify it experimentally [5]. Despite the unknown boundary condition, the proposed method makes it possible to determine the temperature field using “measured” temperature histories determined in easily accessible points on the component outer surface, using energy balance equations. Unfortunately, the accuracy of the method is strongly dependent on the distance between the temperature sensors and the unknown boundary. The second factor creating the final error is the uncertainty of the thermocouple input data. For bigger distances, e.g. in a thick-walled pressure component burdened with measurement errors, oscillations appear in the solutions and the solution error can rise to unacceptable values. Information about the error size is crucial in determining the potential use of specific applications. As a result of a series of transient-state numerical analyses, the final error value was determined as a function of the wall thickness and measurement inaccuracy. “Measurement” errors of ±0.25, ±0.5, and ±1°C were assumed and implemented in the analysis as disturbance. Numerical tests were conducted for two types of a thick-walled pipe with the inner diameter of 160 mm and the wall thickness values of 40 and 60 mm, respectively. It is assumed that the pipe with a uniform initial temperature distribution is partially flooded by the hot medium, which simulates the system heating process. The outer surface is exposed to ambient air. Additionally, in order to overcome instabilities, the influence of smoothing digital filters was investigated. It may be stated that the expected standard deviation σ < 2 (relative error measure RE < 0.5%) of the final result can be achieved for the input error of ±0.5°C for the 40-mm-thick wall, but the input data acceptable error for the wall thickness of 60 mm should be ±0.25°C and smoothing filters must be used additionally. Both levels of temperature measurement accuracy are achievable for industrial thermocouples. For the wall thickness of 60 mm and the input error of ± 0.5°C (no filters applied), the standard deviation value is much higher: σ ≈ 5.1 (RE ≈ 36%). The algorithm is stable even for thick walls. However, for thicknesses over 50mm, it becomes more sensitive to input errors and require
在各种技术应用中,许多结构都在强热条件下工作。稳态或瞬态传热现象会产生不应超过允许极限的巨大温差。计算温度场的常见问题是难以获得运行元件的某些热边界条件。这通常涉及流体与元件接触的内表面。对流动流体中发生的现象进行数值分析是非常耗时的。另一种确定温度分布的方法是在被分析器件中找到逆热传导问题(IHCP)的解[1-4],并进行实验验证[5]。尽管存在未知的边界条件,但所提出的方法可以使用能量平衡方程,利用在组件外表面易于接近的点上确定的“测量”温度历史来确定温度场。不幸的是,该方法的精度强烈依赖于温度传感器与未知边界之间的距离。产生最终误差的第二个因素是热电偶输入数据的不确定性。对于较大的距离,例如在测量误差较大的厚壁压力元件中,溶液中出现振荡,溶液误差可能上升到不可接受的值。有关错误大小的信息对于确定特定应用程序的潜在用途至关重要。通过一系列的瞬态数值分析,确定了最终误差值是壁厚和测量精度的函数。假设“测量”误差为±0.25、±0.5和±1°C,并将其作为干扰进行分析。对内径为160 mm、壁厚分别为40和60 mm的两种厚壁管进行了数值试验。假设初始温度分布均匀的管道部分被热介质淹没,模拟系统加热过程。外表面暴露在环境空气中。此外,为了克服不稳定性,研究了平滑数字滤波器的影响。对于40 mm厚壁,当输入误差为±0.5℃时,最终结果的期望标准差σ < 2(相对误差测量RE < 0.5%),但对于60 mm厚壁,输入数据可接受误差应为±0.25℃,并且必须另外使用平滑滤波器。对于工业热电偶来说,这两种温度测量精度都是可以实现的。当壁厚为60mm,输入误差为±0.5°C(不加滤波器)时,标准差值更高:σ≈5.1 (RE≈36%)。该算法即使对厚壁也很稳定。然而,对于超过50mm的厚度,它对输入误差变得更加敏感,并且需要额外的滤波器来确保稳定性。
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引用次数: 0
Two Approaches to Mathematical Modelling of Heating/Evaporation ofa Multi-component Liquid Film 多组分液膜加热/蒸发数学建模的两种方法
S. Sazhin, M. Jia, Yanzhi Zhang, O. Rybdylova
- Two numerical algorithms for modelling multi-component liquid film heating/evaporation are compared. Both algorithms are based on the solutions of one-dimensional heat transfer/species diffusion equations describing the processes in the liquid film. One of these algorithms is based on the fully numerical solutions of these equations, while the second one is based on their analytical solutions at each time step. The predictions of both algorithms are compared for the case of a 50%/50% hexadecane/heptane film under typical Diesel engine conditions. The agreement between the time evolution of thickness and surface/average temperatures of the film, predicted by both algorithms, appears to be rather close. This allows us to recommend both algorithms for practical engineering applications.
-比较了模拟多组分液膜加热/蒸发的两种数值算法。这两种算法都是基于描述液膜过程的一维传热/物质扩散方程的解。其中一种算法是基于这些方程的全数值解,而另一种算法是基于它们在每个时间步长的解析解。对典型柴油机工况下50%/50%十六烷/庚烷膜的预测结果进行了比较。两种算法预测的厚度随时间的变化与膜的表面/平均温度之间的一致性似乎相当接近。这使我们能够为实际工程应用推荐这两种算法。
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引用次数: 0
Simulation of Water Vapor Adsorption in a Fixed-bed Column withSilica Gel Material for Thermal Energy Storage Applications 热储用硅胶材料固定床柱中水蒸气吸附的模拟
Y. Carrier, C. Strong
Extended Abstract In order to reduce the environmental impact of fossil fuels and transition to a low-carbon economy, researchers around the world have been investing heavily in the development of renewable energy technologies. However, the renewable energy sources (e.g. wind power and solar energy) have the major constraint of intermittency and lack of consistency. Therefore, energy storage technologies play an important role in balancing the misalignment between the energy supply and demand, and creating a more flexible and reliable energy system [1]. Water vapor adsorption in porous materials in a fixed bed column can be used in the thermal energy storage (TES) systems for space heating applications. Various adsorbent materials have been tested and evaluated for their thermal energy storage abilities by our research group [2]-[6]. Silica gel has proven to be one of the better adsorbents with high energy storage density using low regeneration temperatures [5]. To gain a better understanding of this exothermic adsorption process, a mathematical model has been developed in this study, to simulate the water vapor adsorption process of silica gel material from humid air. The model included the mass and energy balances with equations to take into account the adsorption isotherms, the pressure-drop in the system, the heat of adsorption released during the process and the heat loss to the surroundings. The validated model can be used to optimize the TES system design and predict the TES system’s performance under operating conditions that we are not able to create in our laboratories.
为了减少化石燃料对环境的影响,向低碳经济转型,世界各地的研究人员一直在大力投资可再生能源技术的开发。然而,可再生能源(如风能和太阳能)的主要制约因素是间歇性和缺乏一致性。因此,储能技术在平衡能源供需失衡,建立更加灵活可靠的能源系统方面发挥着重要作用[1]。多孔材料在固定床柱中的水蒸气吸附可用于空间加热应用的热能储存(TES)系统。我们课题组[2]-[6]对各种吸附剂材料的储热能力进行了测试和评估。硅胶已被证明是较好的吸附剂之一,在低再生温度下具有高能量储存密度[5]。为了更好地理解这种放热吸附过程,本研究建立了一个数学模型,模拟了硅胶材料从潮湿空气中吸附水蒸气的过程。该模型包括质量和能量平衡,以及考虑吸附等温线、系统压降、过程中释放的吸附热和向周围环境损失的方程。经过验证的模型可用于优化TES系统设计,并预测我们无法在实验室中创建的操作条件下TES系统的性能。
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引用次数: 0
Salt Impregnated Matrices for Water-Vapour Adsorption-Based ThermalEnergy Storage 基于水蒸气吸附的热能储存用盐浸渍基质
C. Strong, Suboohi Shervani, Y. Carrier, F. Tezel
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引用次数: 0
期刊
Proceedings of the International Conference on Fluid Flow and Thermal Science (ICFFTS'20)
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