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Nusselt and Reynolds numbers correlation for oscillatory flow of thermoacoustics over heated tube banks 加热管组上热声振荡流的努塞尔特数和雷诺数相关性
Q1 Chemical Engineering Pub Date : 2024-09-19 DOI: 10.1016/j.ijft.2024.100874
The back-and-forth motion characteristic of the oscillatory flow brings complexity in predicting the heat transfer nature for thermoacoustic wave conditions. Investigating this is crucial as the flow forms the backbone for the thermodynamic cycles of its operation. Often, the steady approximation in calculating heat transfer leads to ambiguity in designing the system. This concern is addressed in this paper via an in-depth analysis of the fluid dynamic behavior and heat transfer characteristics of oscillatory flow within a thermoacoustic framework, spanning experimental works for Reynolds numbers ranging from 300 to 24,000. The investigation focused on a tube bank heat exchanger composed of nine tubes arranged in inline and staggered configurations. Experiments were conducted at constant tube surface temperatures treated at 40 °C and 80 °C, respectively. The distinguishing difference in heat transfer behaviors for oscillatory flow is visualized by the Computational Fluid Dynamics (CFD) models, employing the Reynolds-Averaged Navier Stokes equation with the k-omega turbulence shear stress transport model. The flow never leaves the system, and it cyclically crosses the tubes back and forth with a travel distance that depends on the drive ratio of the flow. The unique nature of the flow forms the foundation for the experimental findings that show a linear relationship between the Nusselt and Reynolds numbers regardless of the configuration of tube banks and tube bank temperature. The Pearson ruler regression analysis was conducted using Matlab R2022b and a Nusselt correlation, Nu = 0.000853RePr⅓, is proposed with a confidence level of 95 %. Notably, the correlation aligns with the constant value known as the Colburn-j factor, with a value of 0.00083. The small Colburn-j value is shown to be the influence of the log-mean temperature difference characteristic of oscillatory flow. It shows a consistent heat transfer process between the heated tubes and surrounding fluid, which is important to sustain the thermoacoustic effect in the system. For future thermoacoustic design, the use of steady heat transfer correlation should be avoided or at least used with caution as the comparative analysis with published works concluded that the Nusselt and Reynolds correlation for steady flow tends to overpredict the heat transfer by two to threefold.
振荡流的来回运动特征给预测热声波条件下的传热性质带来了复杂性。研究这一点至关重要,因为流动构成了热力学运行循环的支柱。通常情况下,计算传热时采用的稳定近似方法会导致系统设计模糊不清。本文通过在热声框架内对振荡流的流体动力学行为和传热特性进行深入分析来解决这一问题,分析范围包括雷诺数从 300 到 24,000 的实验工作。研究的重点是一个管组热交换器,该热交换器由直列和交错配置的九根管子组成。实验分别在 40 °C 和 80 °C 的恒定管表面温度下进行。计算流体动力学(CFD)模型采用雷诺平均纳维-斯托克斯方程和 k-omega 湍流切应力传输模型,直观显示了振荡流传热行为的显著差异。气流从未离开过系统,它循环往复地穿过管道,其移动距离取决于气流的驱动比。流体的独特性质为实验结果奠定了基础,实验结果表明,无论管组配置和管组温度如何,努塞尔特数和雷诺数之间都存在线性关系。使用 Matlab R2022b 进行了皮尔逊尺回归分析,提出了努塞尔相关系数 Nu = 0.000853RePr⅓,置信度为 95%。值得注意的是,该相关性与称为 Colburn-j 因子的恒定值一致,其值为 0.00083。事实表明,Colburn-j 值较小是受振荡流的对数平均温差特性的影响。这表明加热管和周围流体之间的传热过程是一致的,这对维持系统的热声效应非常重要。在未来的热声设计中,应避免使用或至少谨慎使用稳定传热相关性,因为与已发表作品的对比分析得出结论,稳定流的努塞尔特和雷诺相关性往往会高估传热两到三倍。
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引用次数: 0
Depressurization-induced production of shale gas in organic-inorganic shale nanopores: A kinetic Monte Carlo simulation 有机-无机页岩纳米孔中减压诱导的页岩气生产:蒙特卡罗动力学模拟
Q1 Chemical Engineering Pub Date : 2024-09-19 DOI: 10.1016/j.ijft.2024.100879
Methane gas production from unconventional reservoirs, such as shale formations, is in high demand due to the global energy needs. However, maximizing production remains challenging due to the ultra-tight porosity, heterogeneity, and complex nature of shale rocks under high pressure. To address this issue, we employ a novel kinetic Monte Carlo (kMC) simulation to investigate the molecular-level behavior of shale gas in both homogeneous and heterogeneous organic-inorganic shale nanopores. This approach not only provides accurate computations of shale gas under high pressure but also aims to uncover the mechanisms of shale gas storage at reservoir pressure and production during pressure drawdown. Our findings indicate that organic shale ultramicropores (pore width < 0.7 nm) contribute significantly to the highest storage capacity of shale gas but pose challenges for production capacity solely through depressurization. In contrast, the free gas zone is the primary source of shale gas production from mesoporous shales, which has a high recovery efficiency but a low production capacity due to less pronounced interaction effects from the shale surface. The heterogeneous nature of shale surfaces leads to asymmetric distributions of density and potential energy across pore widths, with methane molecules favoring locations near organic pore walls due to stronger attractive interactions, while inorganic pore walls facilitate shale gas migration. Interestingly, the optimal ultramicropore size yields the highest recovery efficiency of shale gas via depressurization, characterized by a transition from near-commensurate to incommensurate molecular packing between reservoir and post-drawdown pressures. Based on these detailed molecular simulations, further research is necessary to develop innovative techniques for enhancing shale gas recovery, especially in micropores.
由于全球能源需求,从页岩地层等非常规储层中生产甲烷气体的需求量很大。然而,由于页岩在高压下具有超紧密的孔隙度、异质性和复杂性,最大限度地提高产量仍是一项挑战。为了解决这个问题,我们采用了一种新颖的动力学蒙特卡洛(kMC)模拟方法来研究页岩气在均质和异质有机-无机页岩纳米孔中的分子级行为。这种方法不仅能对高压下的页岩气进行精确计算,还能揭示页岩气在储层压力下的储存机制和在压力下降时的生产机制。我们的研究结果表明,有机页岩超微孔隙(孔隙宽度为 0.7 纳米)对页岩气的最高储存能力贡献巨大,但仅靠减压对产能构成挑战。相比之下,游离气区是中孔页岩页岩气生产的主要来源,由于页岩表面的相互作用效应不明显,游离气区的页岩气采收效率较高,但产能较低。页岩表面的异质性导致密度和势能在各孔隙宽度上的不对称分布,甲烷分子由于较强的吸引力相互作用而偏爱靠近有机孔隙壁的位置,而无机孔隙壁则有利于页岩气的迁移。有趣的是,最佳超微孔尺寸可通过减压产生最高的页岩气回收效率,其特点是在储层压力和减压后压力之间,分子堆积从接近相称过渡到不相称。基于这些详细的分子模拟,有必要开展进一步研究,以开发创新技术,提高页岩气的采收率,尤其是在微孔中的采收率。
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引用次数: 0
Annular two-phase flow in a small diameter tube: OpenFOAM simulations with turbulence damping vs optical measurements 小直径管中的环形两相流:带湍流阻尼的 OpenFOAM 模拟与光学测量结果对比
Q1 Chemical Engineering Pub Date : 2024-09-19 DOI: 10.1016/j.ijft.2024.100871
In this work, numerical simulations are performed to predict two-phase annular flow of refrigerant R245fa inside a 3.4 mm diameter vertical channel. The VOF (Volume of Fluid) method implemented in an OpenFOAM solver is used to accurately track the vapor-liquid interface. A 2D axisymmetric domain is considered and the Adaptive Mesh Refinement (AMR) method is applied to the cells near the liquid/vapor interface. The Reynolds-Averaged Navier Stokes (RANS) equations are solved and the k-ω SST model is adopted for turbulence modelling in both the liquid and vapor phase. Simulations are used to calculate instantaneous and mean values of the liquid film thickness at mass flux G = 100 kg m-2 s-1 and vapor quality ranging between 0.2 and 0.85. Numerical results are compared against measurements of the liquid film thickness taken during vertical annular downflow. Previous works from the literature and the deviations observed between present numerical and experimental results suggest the need for turbulence damping at the vapor-liquid interface by adding a source term in the ω equation. The simulations show that a low value of the turbulence damping parameter (e.g. 1) causes the average liquid film thickness to increase by 25 %–52 % compared to the non-damped scenario. The interface presents large amplitude disturbance waves in the non-damped case, whereas small ripple waves are predicted when turbulence damping is introduced. Furthermore, the difference between the application of a symmetric and asymmetric treatment for the source term is analysed. From the comparison between experimental data and numerical simulations, it emerges that the value of the correct damping source term to be applied is strictly dependent on the vapor quality.
在这项工作中,对制冷剂 R245fa 在直径为 3.4 毫米的垂直通道内的两相环形流动进行了数值模拟预测。采用 OpenFOAM 求解器中的 VOF(流体体积)方法来精确跟踪汽液界面。考虑了一个二维轴对称域,并对液体/蒸汽界面附近的单元采用了自适应网格细化(AMR)方法。对雷诺平均纳维-斯托克斯(RANS)方程进行求解,并采用 k-ω SST 模型对液相和汽相进行湍流建模。模拟计算了在质量通量 G = 100 kg m-2 s-1 和蒸汽质量介于 0.2 和 0.85 之间时液膜厚度的瞬时值和平均值。数值结果与垂直环形下流过程中的液膜厚度测量值进行了比较。之前的文献研究以及目前的数值结果和实验结果之间的偏差表明,有必要通过在 ω 方程中添加一个源项来阻尼汽液界面上的湍流。模拟结果表明,与无阻尼情况相比,湍流阻尼参数的低值(如 1)会导致平均液膜厚度增加 25%-52%。在无阻尼情况下,界面会出现大振幅扰动波,而引入湍流阻尼后,则会出现小波纹。此外,还分析了源项采用对称和非对称处理方法的区别。通过对比实验数据和数值模拟结果,可以发现正确的阻尼源项值与水汽质量密切相关。
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引用次数: 0
Simulation of Bingham–Papanastasiou model within trapezoidal cavity with mixed convection effects 具有混合对流效应的梯形空腔内宾汉-帕帕纳斯提欧模型模拟
Q1 Chemical Engineering Pub Date : 2024-09-18 DOI: 10.1016/j.ijft.2024.100863

The study of Bingham–Papanastasiou fluids is conducted in lid-driven cavity with consideration of viscous dissipation. The upper and left wall of the cavity is cold while other walls are insulated. Numerical simulations are conducted to study the isotherms, temperature profile, local and average Nusselt number. The main focus of work is to analyse the behaviour of heat transfer within trapezoidal cavity. The governing system of nonlinear dimensionless partial differential equations is analysed by using PDE solver of finite element method in COMSOL. The analysis is carried out for different parameters like Reynolds number, Bingham parameter, stress growth parameter, Eckert number and Prandtl number. It is observed that impact of Bingham parameter on temperature variation is negligible while the impact of stress parameter leads to the reduction in temperature within cavity. The novelty of this work is that no work is done for the case of trapezoidal cavity where Bingham–Papanastasiou fluid behaviour is observed under the consideration of viscous dissipation and mixed convection.

宾厄姆-帕帕纳斯提欧流体的研究是在考虑粘性耗散的情况下在盖子驱动的空腔中进行的。空腔的上壁和左壁是冷的,而其他壁是隔热的。对等温线、温度曲线、局部和平均努塞尔特数进行了数值模拟研究。工作的重点是分析梯形空腔内的传热行为。使用 COMSOL 中有限元法的 PDE 求解器分析了非线性无量纲偏微分方程的支配系统。分析针对不同的参数,如雷诺数、宾汉参数、应力增长参数、埃克特数和普朗特数。据观察,宾厄姆参数对温度变化的影响可以忽略不计,而应力参数的影响会导致空腔内温度降低。这项研究的新颖之处在于,在考虑粘性耗散和混合对流的情况下,没有针对梯形空腔的宾汉-帕帕纳斯提欧流体行为进行研究。
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引用次数: 0
Experimental study and statistical analysis of system performance parameters of a household freezer 家用冰柜系统性能参数的实验研究和统计分析
Q1 Chemical Engineering Pub Date : 2024-09-16 DOI: 10.1016/j.ijft.2024.100867

The present research comprehensively examines the influences of different input variables, such as cabinet load level, ambient temperature, relative humidity, door opening time and day, on the output parameters of frosting amount, recovery time, and total energy consumption of the upright domestic freezer following the door opening operation. Moreover, a holistic statistical methodology, which is known as the GLM-ANOVA, was implemented for determining the parametric experimental results. Meanwhile, the effects of binary interactions between the input factors on the output parameters were extensively evaluated using statistical methods. As a consequence, the amount of frost increases with an upward gradient as the load level within the cabinet escalates from 25 °C to 32 °C. Both the duration of door openings and the relative humidity level have a double impact on the frosting. Moreover, the duration required for the system to recover from half load to full load more than doubles with an increase in ambient temperature from 25 °C to 32 °C. On the other hand, at an outdoor temperature of 25 °C, the recovery time demonstrates a close to linear relationship with the load level of the cabinet. Furthermore, the duration of door openings and the load capacity within the cabinet are considered two important factors that simultaneously influence the daily energy consumption. The infiltration of ambient air into the freezer compartment and the presence of moisture in the air substantially increase the energy consumption, especially when the relative humidity fluctuates between 30 % and 65 % and the door opening duration stretches from 10 to 20 s, respectively.

本研究全面考察了不同输入变量(如柜内负荷水平、环境温度、相对湿度、开门时间和天数)对直立式家用冰柜开门后结霜量、恢复时间和总能耗等输出参数的影响。此外,还采用了一种称为 GLM-ANOVA 的整体统计方法来确定参数实验结果。同时,使用统计方法广泛评估了输入因素之间的二元交互作用对输出参数的影响。结果表明,随着机柜内的负载水平从 25 °C上升到 32 °C,结霜量呈上升梯度增加。开门时间和相对湿度对结霜有双重影响。此外,随着环境温度从 25 °C 上升到 32 °C,系统从半负荷恢复到全负荷所需的时间也会增加一倍以上。另一方面,在室外温度为 25 °C时,恢复时间与机柜的负载水平呈近似线性关系。此外,柜门开启的持续时间和柜内的负载能力被认为是同时影响每日能耗的两个重要因素。环境空气渗入冷冻室和空气中的湿气会大大增加能耗,尤其是当相对湿度在 30% 和 65% 之间波动以及开门时间分别在 10 秒和 20 秒之间时。
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引用次数: 0
Effect of heat production on MHD natural convection transport of nanofluid flow via a vertical uniform perforated plate: An unsteady analysis 热量产生对纳米流体流经垂直均匀穿孔板的 MHD 自然对流传输的影响:非稳态分析
Q1 Chemical Engineering Pub Date : 2024-09-16 DOI: 10.1016/j.ijft.2024.100868
This article statistically investigates the impact of heat production on the unstable MHD natural convection transport of nanofluid flow via a perforated sheet. The ordinary differential equations (ODEs) are derived from the partial differential equations (PDEs) by using of the similarity transformation. The dimensionless ordinary differential equations (ODEs) may be numerically resolved with the help of the MATLAB ODE45 tool and the finite difference method (FDM) along with the shooting strategy. Four innovative water-based nanofluids such as TiO2, Cu, Al2O3, and Ag are considered nanoparticles. The numerical results have been explained for the role of numerous non-dimensional numbers or parameters such as heat generation or absorption (Q), nanoparticle volume fraction (φ), Dufour number (Df), Prandtl number (Pr), magnetic force parameter (M), Soret number (Sr), and Schmidt number (Sc) on the fluid flow, and heat and mass transfer rates. The fluid temperature drops but velocity is enhanced for higher amounts of Q. Copper nanoparticle volume fraction up to 4 % shows a rise in temperature, concentration, and velocity curves. Heat transfer rate ( − θ′(0)) diminishes by about 124 %, while the values of f′(0) promote by approximately 26 % owing to an increase in the values of Q (heat generation) from 1.0 to 2.0. The value of ( − θ′(0)) increases by 49 %, but f′0 decreases by 15 % due to a rise in Q (heat absorption) from -3.0 to -10.0. The local skin friction coefficient (f′(0)) diminishes by about 65.21 % due to an increase in the values of the magnetic force parameter (M) from 0.5 to 3.5 whereas the rate of heat and mass transfer remain unchanged. As φ increased from 0.01 to 0.04, the local skin friction coefficient (f′(0)) exhibited a 36 % increase, while the heat transport rate (θ′(0)) decreased around by 10 %. In conclusion, a comparison was made between our findings and those of the published research. The comparison indicates a high degree of consistency.
本文从统计学角度研究了热量产生对纳米流体流经穿孔板的不稳定 MHD 自然对流传输的影响。通过相似性变换,从偏微分方程(PDE)导出常微分方程(ODE)。借助 MATLAB ODE45 工具和有限差分法(FDM)以及射击策略,可以对无量纲常微分方程(ODEs)进行数值求解。四种创新的水基纳米流体,如 TiO2、Cu、Al2O3 和 Ag 被视为纳米粒子。数值结果解释了许多非尺寸数或参数对流体流动、传热和传质速率的作用,如发热或吸热(Q)、纳米粒子体积分数(φ)、杜弗数(Df)、普朗特数(Pr)、磁力参数(M)、索雷特数(Sr)和施密特数(Sc)。纳米铜粒子的体积分数达到 4 % 时,温度、浓度和速度曲线都会上升。由于 Q 值(发热量)从 1.0 增加到 2.0,传热速率(-θ′(0))降低了约 124%,而 f′(0)值提高了约 26%。( - θ′(0))值增加了 49%,但由于 Q 值(吸热)从-3.0 增加到-10.0,f′0 下降了 15%。由于磁力参数 (M) 值从 0.5 增加到 3.5,局部表皮摩擦系数 (f′(0)) 减小了约 65.21%,而传热和传质速率保持不变。当 φ 从 0.01 增加到 0.04 时,局部表皮摩擦系数(f′(0))增加了 36%,而热传递速率(θ′(0))降低了约 10%。最后,对我们的研究结果和已发表的研究结果进行了比较。比较结果表明两者具有高度的一致性。
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引用次数: 0
Attention-based integrated deep neural network architecture for predicting the effectiveness of data center power usage 用于预测数据中心用电效果的基于注意力的集成深度神经网络架构
Q1 Chemical Engineering Pub Date : 2024-09-16 DOI: 10.1016/j.ijft.2024.100866
Addressing the critical need for enhanced power usage effectiveness in data centers (DCs), this study pioneers an improved convolutional long short-term memory with deep neural network (CLDNN) model, enriched with attention mechanisms for precise DC performance prediction. We rigorously evaluate our model against leading architectures – long short-term memory (LSTM), attention-based (att-LSTM), convolutional LSTM (CNN-LSTM), gated recurrent unit (GRU), and CNN-GRU – to affirm its superiority in predictive accuracy and robustness. The integration of convolutional layers processes hourly data inputs efficiently, reducing complexity and improving pattern detection. A subsequent flattening layer optimizes accuracy, while a dual-layered LSTM and a deep neural network delve into frequency, temporal dynamics, and complex data relationships. Incorporating an attention mechanism into the att-CLDNN model has revolutionized predictive analytics in DC energy management, significantly enhancing accuracy by highlighting crucial data interdependencies. This model's unparalleled precision, evidenced by achieving the lowest Mean Squared Error (MSE) of 0.000179, the minimum Mean Absolute Error (MAE) of 0.01048, and the highest R2 Score of 0.977031, underscores its effectiveness. Crucially, this breakthrough fosters sustainability in energy management, promoting greener DC operations through precise energy use predictions, leading to substantial energy savings and reduced carbon emissions, in alignment with global sustainability objectives.
为了满足提高数据中心(DC)用电效率的迫切需求,本研究开创了一种改进型卷积长短期记忆深度神经网络(CLDNN)模型,该模型采用了注意力机制,可用于精确的 DC 性能预测。我们对照领先的架构--长短期记忆(LSTM)、注意力型(att-LSTM)、卷积 LSTM(CNN-LSTM)、门控递归单元(GRU)和 CNN-GRU--对我们的模型进行了严格评估,以肯定其在预测准确性和鲁棒性方面的优势。卷积层的整合可高效处理每小时的数据输入,降低复杂性并改进模式检测。随后的扁平化层优化了准确性,而双层 LSTM 和深度神经网络则深入研究了频率、时间动态和复杂的数据关系。在 att-CLDNN 模型中加入注意力机制,彻底改变了直流电能管理中的预测分析方法,通过突出关键数据的相互依存关系,显著提高了准确性。该模型实现了 0.000179 的最低平均平方误差 (MSE)、0.01048 的最小平均绝对误差 (MAE) 和 0.977031 的最高 R2 得分,无与伦比的精确度彰显了其有效性。最重要的是,这一突破促进了能源管理的可持续发展,通过精确的能源使用预测促进了更环保的直流操作,从而节省了大量能源并减少了碳排放,与全球可持续发展目标保持一致。
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引用次数: 0
Thermal-induced buoyant water jet discharge under shallow coastal water conditions 沿海浅水条件下的热诱导浮力水射流排放
Q1 Chemical Engineering Pub Date : 2024-09-16 DOI: 10.1016/j.ijft.2024.100857

A novel discharge dispersion model is developed to simulate the complex three-dimensional flow behaviour of thermal-induced buoyant water jets under current-wave coexisting conditions. The model solved the governing fluid flow and energy equations for two immiscible and incompressible phases (water and air) which were weakly coupled by applying the Boberbeck-Boussinesq approximation. Different turbulence models, such as k−ε multiphase, k-ω SST, k-ω SST-multiphase, k-ω SST-stable, and realizable k−ε were applied. Extensive verification of the model's performance is conducted by comparing the developed model results against a diverse range of analytical and experimental data. First, a series of simulations are carried out to evaluate the performance of the model in reproducing the results of the wave hydrodynamic and interactions with the submerged trapezoid bar. This is followed by numerically replicating the experimental results of a vertical non-buoyant submerged jet under current-only and current-wave environments. Finally, the potency of the coupled hydro-thermal algorithm is assessed by validating against different thermal-induced buoyant submerged jet experimental tests. For this purpose, numerical prediction of the developed model is tested against physical experiments for a series of tests for thermal-induced buoyant submerged horizontal jets in stationary water and inclined thermal-induced buoyant water jet under the influence of current-wave environments. Results showed that the k-ω SST-multiphase provides the best agreement with the laboratory measured data in terms of flow, temperature distribution field, plume trajectory and dilution. The findings confirmed that the developed model can be used as a reliable tool in precisely modelling characteristic of thermal-induced buoyant water jet in shallow coastal waters.

建立了一个新颖的放电分散模型,用于模拟在水流-波浪共存条件下热浮力水射流的复杂三维流动行为。该模型求解了两相(水和空气)不可溶解和不可压缩的流体流动和能量方程,并通过应用 Boberbeck-Boussinesq 近似法进行了弱耦合。应用了不同的湍流模型,如 k-ε 多相模型、k-ω SST 模型、k-ω SST 多相模型、k-ω SST 稳定模型和可实现的 k-ε 模型。通过将开发的模型结果与各种分析和实验数据进行比较,对模型的性能进行了广泛验证。首先,进行了一系列模拟,以评估模型在再现波浪流体力学结果以及与水下梯形杆相互作用结果方面的性能。随后,对水流环境和水流-波浪环境下垂直非浮力水下射流的实验结果进行了数值复现。最后,通过对不同的热诱导浮力水下射流实验测试进行验证,评估了水热耦合算法的有效性。为此,针对静止水中的热诱导浮力沉没式水平射流和水流-波浪环境影响下的倾斜热诱导浮力水射流的一系列试验,将所开发模型的数值预测与物理试验进行了对比测试。结果表明,k-ω SST 多相模型在流量、温度分布场、羽流轨迹和稀释方面与实验室测量数据的一致性最好。研究结果证实,所开发的模型可作为一种可靠的工具,用于精确模拟浅海沿岸水域热致浮力水射流的特征。
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引用次数: 0
Lie symmetry neural networking for heat transfer in magnetized williamson fluid (MWF) with heat source (HS) and thermal slip (TS) 带有热源(HS)和热滑移(TS)的磁化威廉姆森流体(MWF)中传热的李对称神经网络
Q1 Chemical Engineering Pub Date : 2024-09-16 DOI: 10.1016/j.ijft.2024.100870

In the analysis, design, and optimization of a wide range of engineering applications involving stretching surfaces and fluid flow, the skin friction coefficient (SFC) at a stretching surface with heat transfer is an important parameter that reflects the fluid dynamics, heat transfer characteristics, and surface interactions. Owing such importance, the purpose of present article is offer artificial neural networking remedy for evaluation of SFC for Williamson flow field with thermal slip and heat source effects. The Williamson fluid flow is realized by considering surface stretching with an externally supplied magnetic field. The energy equation is used to address the heat transmission. The constructed differential system for flow field is solved by conjecturing artificial neural networking with Lie symmetry and shooting methods. Artificial Neural Networking (ANN) model is developed to predict the surface quantity namely SFC at thermally magnetized surface. The major findings includes the variation in SFC for pertinent flow parameters and we found that in the presence of heat transfer aspects, the SFC admits declining nature towards Weissenberg number while opposite is the case for magnetic field parameter.

在涉及拉伸表面和流体流动的各种工程应用的分析、设计和优化中,带热传导的拉伸表面的表皮摩擦系数(SFC)是反映流体动力学、热传导特性和表面相互作用的重要参数。鉴于其重要性,本文旨在提供人工神经网络方法,用于评估具有热滑移和热源效应的威廉姆森流场的 SFC。威廉姆森流体流动是通过考虑具有外部磁场的表面拉伸来实现的。能量方程用于解决热传递问题。所构建的流场微分系统是通过猜想人工神经网络与李对称和射击方法来解决的。人工神经网络(ANN)模型用于预测热磁化表面的表面量,即 SFC。主要研究结果包括相关流动参数在 SFC 中的变化,我们发现,在存在热传导的情况下,SFC 会随着魏森堡数的增加而下降,而磁场参数则相反。
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引用次数: 0
Stochastic modeling of multiple-server charging stations for electric vehicle networks using feedback strategies: A queueing-theoretic approach 利用反馈策略对电动汽车网络的多服务器充电站进行随机建模:队列理论方法
Q1 Chemical Engineering Pub Date : 2024-09-16 DOI: 10.1016/j.ijft.2024.100859

Nowadays, electric vehicles (EVs) significantly affect transportation as they provide a more environmentally friendly alternative to traditional fossil-fueled automobiles. Electric vehicles, which depend on energy stored in batteries, significantly contribute to environmental preservation and comply with worldwide efforts to tackle climate change. However, the growing demand for electric vehicles causes traditional power grids under pressure emphasizing the necessity of establishing a suitable infrastructure for charging electric vehicles. Charging stations are becoming increasingly critical since they allow for the recharging of electric vehicles and play a significant role in stabilizing the power system. In order to optimize charging station infrastructure with multiple servers, the current research incorporates a Markovian queueing modeling approach. The primary objective of the study is to address queue management concerns and boost overall productivity. Considering the real-world challenges, a queue-based stochastic model for multi-server EV systems and individual feedback strategies is developed. Subsequently, a transition state diagram is provided by balancing the input-output rates between the adjacent states. Next, the system of Chapman-Kolmogorov differential-difference equations is formulated to help understand mathematical modeling better. The matrix method is employed to demonstrate the state probability distribution in equilibrium. The infographics are utilized and incorporated for better visualization of the research findings. For a better understanding from an individual's point of view, numerous managerial insights are provided. Lastly, several concluding remarks and future perspectives are provided that can help decision-makers and practitioners to construct and analyze economic strategies based on EV management systems.

如今,电动汽车(EV)对交通运输产生了重大影响,因为与传统的化石燃料汽车相比,它们提供了更环保的替代品。电动汽车依靠电池储存能量,对环境保护和全球应对气候变化的努力做出了重大贡献。然而,对电动汽车日益增长的需求给传统电网带来了压力,因此必须建立合适的基础设施为电动汽车充电。充电站正变得越来越重要,因为它们可以为电动汽车充电,并在稳定电力系统方面发挥着重要作用。为了优化具有多个服务器的充电站基础设施,目前的研究采用了马尔可夫排队建模方法。研究的主要目的是解决队列管理问题,提高整体生产率。考虑到现实世界中的挑战,研究人员为多服务器电动汽车系统和个体反馈策略开发了一个基于队列的随机模型。随后,通过平衡相邻状态之间的输入输出率,提供了过渡状态图。接下来,为了帮助更好地理解数学建模,我们提出了 Chapman-Kolmogorov 微分方程系统。采用矩阵法展示平衡状态下的状态概率分布。为了更好地直观展示研究成果,还使用并结合了信息图表。为了从个人角度更好地理解研究结果,还提供了许多管理方面的见解。最后,还提供了一些结论性意见和未来展望,以帮助决策者和从业人员构建和分析基于电动汽车管理系统的经济战略。
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引用次数: 0
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International Journal of Thermofluids
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