CFD simulation

CFD 模拟
  • 文章类型: Journal Article
    授粉是植物果实发育的第一步。因此,没有授粉就不会坐果。在自然授粉中遇到的一些问题导致不能如期望的那样实现授粉并且导致产量和果实品质的显著损失。使用无人机进行人工授粉是解决这些问题的最佳方法。在这项研究中,AirPoll人工授粉机,使用无人机技术通过空气进行人工授粉,开发了机器,并在核桃园中测试了机器的操作成功。在实验花园中,在用无人机人工授粉的区域和控制区,5棵树的18棵树枝上的雌花都用彩色字符串标记。从不可能用无人机运输花粉的距离选择对照树。根据2020年和2021年进行的研究,无人机授粉的树木的平均坐果率为94.61%。在控制树上,实现了32.33%的坐果。因此,确定使用AirPoll进行人工授粉的生产率提高了62.28%。此外,在研究中,使用ANSYSFluent2024R1软件进行计算流体动力学(CFD)模拟分析,以预测核桃树冠中向下的气流和花粉分布。分析是使用无人机螺旋桨在4500转/分的转速下进行的680次迭代,4m/s的气流和k-w粘性模型。在分析中,观察到花粉在确定的高度和创造的人工授粉环境下分布均匀。根据模拟结果,连续性的收敛准则为5e-3,速度的收敛准则为1e-6,k,W确定。考虑到所有的结果,开发的AirPoll人工授粉机的易用性以及在田间试验中获得的成功结果揭示了AirPoll人工授粉机的有效性。
    Pollination is the first step in the plant\'s fruit development. Therefore, fruit setting does not occur without pollination. Some problems encountered in natural pollination cause pollination not to be achieved as desired and cause significant losses in yield and fruit quality. Artificial pollination applications with drones are the best way to solve these problems. In this study, the AirPoll artificial pollination machine, which performs artificial pollination through the air using drone technology, was developed and the operating success of the machine was tested in walnut gardens. In the experiment gardens, female flowers on 18 branches of 5 trees each in the artificially pollinated area with a drone and in the control area were marked with colored strings. Control trees were selected from a distance that would not be possible to transport pollen with a drone. As a result of the study carried out in 2020 and 2021, the average fruit setting rate in trees pollinated by drone was determined as 94.61%. In control trees, 32.33% fruit setting was achieved. Thus, it was determined that the productivity increase in artificial pollination with AirPoll was 62.28%. In addition, in the study, Computational Fluid Dynamics (CFD) simulation analysis was performed using ANSYS Fluent 2024 R1 software to predict the downward air flow and pollen distribution in the walnut tree crown. The analysis was carried out in 680 iterations using drone propellers at a rotation speed of 4500 rpm, 4 m/s airflow and a k-w viscous model. In the analysis, it was observed that the pollen was distributed homogeneously with the determined height and the created artificial pollination environment. Based on the results obtained from the simulations, a convergence criterion of 5e-3 for continuity and 1e-6 for speed, k, w was determined. Considering all the results, the ease of use of the developed AirPoll artificial pollination machine and the successful results obtained in field trials reveal the effectiveness of the AirPoll artificial pollination machine.
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  • 文章类型: Journal Article
    采空区侧进位支护开采模式的实施与顶板切割和泄压(GERRCPR)的结果是采空区连接到支护巷道。创造一个开放的空间,导致显著的空气泄漏和增加自燃的风险。小南煤矿N1-1502工作面在实施GERRCPR过程中进行了研究,以调查自燃特性,以及防火和灭火措施。要分析采空区气流,计算流体动力学(CFD)用于收集气流条件数据,O2浓度,和温度。基于此,本研究的重点是探索不同速率和位置的氮气注入处理效果,以优化埋管氮气注入参数。结果表明,在GERRCPR中,采空区漏气增多,导致O2浓度增加,氧化区的扩张,和自燃的风险升高。漏风主要发生在进风巷道附近的留风巷道和工作面,在保留道路长度为500m时达到峰值,流量为226m3/min。氮气注入处理后,氧化区显着减少,在70m的氮气注入深度和600m3/h的速率下实现了最佳处理。现场监测数据表明,采用多孔长管的惰化措施,氮气注入间距为30m,600m3/h的氮气注入速率显着降低了采空区内的O2浓度。这种减少符合安全生产要求,优于传统埋管注氮方法的效果,从而验证了仿真的准确性。了解GERRCPR中管理自燃煤的法律并制定氮气注入的预防措施可以提高采矿作业的安全标准。这种主动的做法可以有效地防止煤炭自燃事故,带来巨大的社会效益。
    The implementation of the Gob-Side Entry Retaining Mining Mode with Roof Cutting and Pressure Relief (GERRCPR) results in the gob connecting to the retaining roadway, creating an open space that causes significant air leakage and increases the risk of spontaneous combustion. A study was conducted during the implementation of the GERRCPR in the Xiaonan Coal Mine N1-1502 working face to investigate spontaneous combustion characteristics, along with fire prevention and extinguishing measures. To analyze gob airflow, Computational Fluid Dynamics (CFD) was employed to collect data on airflow conditions, O2 concentration, and temperature. Based on this, this study focuses on exploring the effects of nitrogen injection treatment under various rates and positions to optimize parameters for buried pipe nitrogen injection. Results indicated that within the GERRCPR, air leakage in the gob increased, leading to an increase in O2 concentration, expansion of the oxidation zone, and an elevated risk of spontaneous combustion. Air leakage primarily occurred from the retaining roadway and the working face near the intake-air roadway, peaking at a retaining roadway length of 500 m, with a flow rate of 226 m3/min. Following nitrogen injection treatment, the oxidation zone was significantly reduced, with optimal treatment achieved at a nitrogen injection depth of 70 m and a rate of 600 m3/h. Field monitoring data showed that the inertization measure of using porous long pipes, a nitrogen injection spacing of 30 m, and a nitrogen injection rate of 600 m3/h significantly decreased the O2 concentration within the gob. This reduction meets safety production requirements and outperforms the effectiveness of traditional buried-pipe nitrogen injection methods, thereby validating the simulation accuracy. Understanding the laws governing spontaneous coal combustion in the GERRCPR and enacting preventive measures for nitrogen injection can improve safety standards in mining operations. This proactive approach can effectively prevent spontaneous coal combustion accidents, resulting in substantial social benefits.
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  • 文章类型: Journal Article
    水力分离器通常用于在排放到自然水体之前控制雨水中的总悬浮固体浓度。本文研究的分离器,具有由切向入口和出口连接产生的旋流,分析了其泥沙去除效率与泥沙和流速的关系。对于本文所研究的分离器,数值模型表明,流场有利于沉积物在中心聚集和沉降。较高的流速或较小的沉积物直径对应较低的去除率,反之亦然。还研究了提高沉积物去除率的尺寸改进。发现与分离器高度的相应增加相比,增加分离器的直径显示出更高的沉积物去除率。提出了无量纲参数J来评估分离器的沉积物去除率,这可以用于设计和优化这样的设备。去除率与J值呈正相关。当J值达到0.5或以上时,泥沙去除率超过80%,这是一个很好的初始目标值设计这种类型的分离器。
    Hydrodynamic separators are commonly used to control the total suspended solid concentration in stormwater before being discharged to natural water bodies. The separator studied in this paper, featuring a swirling flow generated by tangential inlet and outlet connections, was analyzed for its sediment removal efficiency in relation to sediment and flow rates. For the separator studied in this paper, the numerical model showed that the flow field was favorable for the sediments to gather at the center and settle. A higher flow rate or a smaller sediment diameter corresponded to a lower removal rate and vice versa. The dimension improvement for increasing the sediment removal rate was also studied. It was found that increasing the diameter of the separator showed a higher sediment removal rate compared with corresponding increase in the height of the separator. A dimensionless parameter J was proposed to assess the sediment removal rate of a separator, which may be used for designing and optimizing such a device. The removal rate is positively correlated with the J value. When the J value reaches 0.5 or above, the sediment removal rate exceeds 80%, which is a good initial target value for designing this type of separator.
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  • 文章类型: Journal Article
    电弧炉(EAF)在钢铁行业中发挥着举足轻重的作用,提供生产优质钢的多功能。本文对电弧炉进行了深入的考察,以及探索与该炉相关的数学建模和优化技术。此外,它深入研究了采用这项技术的全球钢铁生产能力,引入了与EAF相关的不同过程,仔细检查EAF的能量平衡,并在此背景下提供了数值和模拟建模的概述。这项广泛审查的核心重点是EAF模拟方法的多样性。它特别强调了解EAF过程的关键组成部分和阶段,包括充电,熔化,精炼,轻敲,和除渣。这篇综述深入研究了EAF建模中使用的各种方法和方法,从创新的计算流体动力学(CFD)和有限元分析到复杂的数学和热力学模型。此外,本文强调了模拟在预测和增强传热等关键方面的重要性,化学反应,电弧炉内的流体动力学。通过这样做,它有助于优化能源效率和最终质量的钢生产在这些炉。总之,这篇综述指出了现有知识的差距,并为改进数学过程模型提供了有价值的建议,强调不断提高效率,可持续性钢铁生产过程对环境的影响。总之,已经提出了几种旨在提高EAF中的生产率和熔化过程质量的技术。
    Electric Arc Furnaces (EAFs) play a pivotal part in the steel industry, offering a versatile of producing high-quality steel. This paper conducts an in-depth examination of the EAF, along with exploring mathematical modeling and optimization techniques pertinent to this furnace. Additionally, it delves into the global steel production capacity employing this technology, introduces different processes associated with EAF, scrutinizes the energy balance of EAFs, and provides an overview of numerical and simulation modeling in this context. The core focus of this extensive review is the diverse landscape of EAF simulation methods. It places particular emphasis on understanding the key components and stages of the EAF process, including charging, melting, refining, tapping, and slag removal. The review delves into the wide array of approaches and methodologies employed in EAF modeling, spanning from innovative computational fluid dynamics (CFD) and finite element analysis to the intricacies of mathematical and thermodynamic models. Furthermore, the paper underscores the importance of simulation in predicting and enhancing crucial aspects such as heat transfer, chemical reactions, and fluid dynamics within the EAF. By doing so, it contributes to the optimization of energy efficacy and the ultimate quality of steel produced in these furnaces. In conclusion, this review identifies gaps in existing knowledge and offers valuable recommendations for improving mathematical process models, underscoring the continuous efforts to enhance the efficiency, sustainability, and environmental impact of steel production processes. In conclusion, several techniques aimed at enhancing both production rates and the quality of the melting process in EAF have been put forward.
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  • 文章类型: Journal Article
    为控制隧道掘进过程中高浓度煤尘的扩散,最大限度地减少对煤矿工人生命健康的威胁,理论分析,数值模拟,和现场测量结合在这项研究中。首先,利用计算流体力学模拟软件模拟了粉尘颗粒在隧道中的产生及其传输规律。随后,进行了创新的正交试验,以研究四个通风参数[压力气流速率(Q),风道中心与航向面之间的距离(LA),风道中心与隧道地板之间的距离(LB),以及风道中心与最近的煤壁(LC)之间的距离]。根据正交试验结果,有效控制粉尘的最佳通风参数如下:Q=1400m3/min,LA=7m,LB=2.8m,LC=1m。优化后的通风参数集应用于王坡3206工作面。结果表明,隧道内粉尘扩散得到了有效控制,空气质量得到了充分改善。
    To control the diffusion of high concentrations of coal dust during tunnel boring and minimize the threat to the life and health of coal miners, theoretical analysis, numerical simulations, and field measurements were combined in this study. First, computational fluid dynamic simulation software was used to simulate the generation of dust particles and their transport pattern in the tunnel. Subsequently, an innovative orthogonal test was performed to study the effect of four ventilation parameters [the pressure airflow rate (Q), distance between the air duct center and heading face (LA), distance between the air duct center and tunnel floor (LB), and distance between the air duct center and nearest coal wall (LC)] on dust diffusion. According to the orthogonal test results, the optimal ventilation parameters for effective dust control are as follows: Q = 1400 m3/min, LA = 7 m, LB = 2.8 m, and LC = 1 m. The optimized set of ventilation parameters was applied to the Wangpo 3206 working face. The results show that dust diffusion in the tunnel was effectively controlled and that the air quality was sufficiently improved.
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  • 文章类型: Journal Article
    进行了湍流模型研究,以分析Tubercle前缘(TLE)机翼周围的流动。通过与现有文献结果的比较,选择了五个湍流模型来评估气动力系数和流动机理。选定的模型是可实现的k-ε,k-ω剪切应力传输(SST),(γ-Reθ)SST模型,过渡k-kl-ω模型和应力-ω雷诺应力模型(RSM)。为此,TLE机翼模型是使用NACA0021机翼轮廓开发的。机翼模型的设计结节波长为0.11c,振幅为0.03c。在基于弦的雷诺数为Rec=120,000的情况下进行了数值模拟。计算流体力学(CFD)模拟表明,在选定的湍流模型中,强度-ωRSM估计的气动力(即升力和阻力)系数最接近实验值,然后是可实现的k-ε,(γ-Reθ)SST模型,k-ωSST模型和k-kl-ω模型。然而,在较高的迎角下,即在16°和20°k-ωSST模型下,预测的阻力和升力系数最接近实验值。此外,压力轮廓的临界观察证实,在较低的迎角压力-ωRSM预测强前缘(LE)吸力,然后是可实现的k-ε,(γ-Reθ)SST模型,k-ωSST模型和k-kl-ω模型。因此,流动行为表明了Stress-ωRSM在预测气动力系数方面的优越性。除了这种压力轮廓外,还证实了k-kl-ω模型无法预测结节机翼的空气动力学性能。在较高攻角k-ωSST模型估计的气动力系数最接近实验值,因此,k-ωSST模型用于16°和20°AoAs。对于不同湍流模型观察到的流线行为表明,Stress-ωRSM模型和k-kl-ω模型未能对较高AoAs下的流动行为进行建模,而k-ωSST模型是一种更好的方法来模拟经历强流动回流区的分离流动。
    A turbulence model study was performed to analyze the flow around the Tubercle Leading Edge (TLE) wing. Five turbulence models were selected to evaluate aerodynamic force coefficients and flow mechanism by comparing with existing literature results. The selected models are realizable k-ε, k-ω Shear Stress Transport (SST), ( γ - R e θ ) SST model, Transition k-k l -ω model and Stress- ω Reynolds Stress Model (RSM). For that purpose, the TLE wing model was developed by using the NACA0021 airfoil profile. The wing model is designed with tubercle wavelength of 0.11c and amplitude of 0.03c. Numerical simulation was performed at chord-based Reynolds number of Rec = 120,000. The Computational Fluid Dynamic (CFD) simulation reveals that among the selected turbulence models, Stress- ω RSM estimated aerodynamic forces (i.e. lift and drag) coefficients closest to that of the experimental values followed by realizable k-ε, ( γ - R e θ ) SST model, k-ω SST model and k-k l -ω model. However, at a higher angle of attacks i.e. at 16° & 20° k-ω SST model predicted closest drag and lift coefficient to that of the experimental values. Additionally, the critical observation of pressure contour confirmed that at the lower angle of attack Stress- ω RSM predicted strong Leading Edge (LE) suction followed by realizable k-ε, ( γ - R e θ )SST model, k-ω SST model and k-k l -ω model. Thus, the superiority of Stress- ω RSM in predicting the aerodynamic force coefficients is shown by the flow behavior. In addition to this pressure contours also confirmed that k-k l -ω model failed to predict tubercled wing aerodynamic performance. At higher angles of attacks k-ω SST model estimated aerodynamic force coefficients closest to that of the experimental values, thus k-ω SST model is used at 16° & 20° AoAs. The observed streamline behavior for different turbulence models showed that the Stress- ω RSM model and k-k l -ω model failed to model flow behavior at higher AoAs, whereas k-ω SST model is a better approach to model separated flows that experience strong flow recirculation zone.
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  • 文章类型: Journal Article
    聚合物的资源高效处理对于最大程度地减少能耗至关重要,处理时间,以及聚合物工业中的材料损失。这项研究与行星辊挤出机中的聚合物加工有关。定制三维数值流动模拟以详细了解通过挤出机的聚合物流动。使用ANSYSPolyflow仿真软件,我们量化了两个可直接测量的工艺参数,比如压力积聚,和更多无形的参数,如材料剪切。通过在灵敏度分析中改变操作和材料参数,我们展示了动态,材料应力和压力的建立主要是由主轴的数量和他们的转速控制。值得注意的是,这项工作提供了一个3D模拟的聚合物流动在行星辊挤出机实际实验数据的第一个成功验证。模拟显示了模拟值和实验值之间的稳健一致性,前提是达到临界背压长度。这种计算方法最大限度地减少了聚合物加工中的劳动密集型实验测试。
    Resource efficient processing of polymers is of paramount importance to minimize energy consumption, processing time, and material losses in the polymer industry. This study is concerned with polymer processing in planetary roller extruders. A three-dimensional numerical flow simulation was tailored to understand the polymer flow through the extruder in detail. Using the simulation software ANSYS Polyflow, we quantified both directly measurable process parameters, such as pressure build-up, and more intangible parameters, such as material shear. By varying operational and material parameters in a sensitivity analysis, we showed that the dynamics, material stress and pressure build-up are controlled primarily by the number of spindles and their rotational speed. Notably, this work provides the first successful validation of a 3D simulation of a polymer flow in a planetary roller extruder against actual experimental data. The simulation showed robust agreement between the simulated and experimental values, provided that a critical backpressure length is reached. This computational approach minimizes labor-intensive experimental testing in polymer processing.
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  • 文章类型: Journal Article
    荞麦是全球公认的,营养丰富的作物具有强大的适应性,作为一种多用途植物,对健康有益。实现精确和机械化的地块种子收获是在育种实验中获得准确结果的关键步骤。然而,地块育种不需要种子保留,没有混合,并确保在脱粒单元中没有种子积累。开发了一种自清洁技术来防止种子滞留,混合,和积累在多级切向滚筒脱粒单元。新设计的清洗系统有五个进气口和一个气动清洗离心风机。对每个入口位置进行了CFD模拟,加上四个不同的入口速度和主脱粒滚筒的转速。在CFD建模的后处理阶段,在脱粒鼓下面画了一条由五十个点组成的线,记录这些点的空气速度。进口位置的最佳配置,进气速度,根据滚筒下方气流速度超过荞麦悬浮速度的点与气流速度低于荞麦悬浮速度的点之比,确定了有效清洗的主要脱粒滚筒转速。根据荞麦粒的悬浮速度确定了“入口_1”的最佳配置,入口速度为4m/s,主脱粒滚筒转速为450rpm。
    Buckwheat is a globally recognized, nutritionally rich crop with robust adaptability, serving as a multi-purpose plant for its health benefits. Achieving precise and mechanized plot seed harvesting is a critical step in obtaining accurate results in breeding experiments. However, plot breeding requires no seed retention, no mixing, and ensures no accumulation of seed in the threshing unit. A self-cleaning technology was developed to prevent seed retention, mixing, and accumulation in the multistage tangential cylinder threshing unit. The newly designed cleaning system has five air inlets and a centrifugal fan for pneumatic cleaning. CFD simulations were conducted for each inlet position, coupled with four varying inlet velocities and the rotation speed of the main threshing cylinder. During the post-processing stage of the CFD modeling, a line consisting of fifty points was drawn beneath the threshing drums, and the air velocity at these points was recorded. The optimal configuration of inlet position, inlet air velocity, and main threshing drum rotation speed for efficient cleaning was identified based on the ratio of points beneath the drums where the airflow speed surpassed the suspension speed of buckwheat to the points where the airflow speed was lower than the suspension speed of buckwheat. The optimal configuration for \"inlet_1\" was identified based on the suspension velocity of buckwheat grain, with an inlet velocity of 4 m/s and a main threshing drum speed of 450 rpm.
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  • 文章类型: Journal Article
    在这项研究中,臭氧催化剂(加氢改性赤泥,HM-RM)根据用废物处理废物和利用废物的观点,通过将工业危险固体废物赤泥(RM)作为原料进行加氢改性成功制备。同时,至于常见的膜污染现象,多相固体催化剂和臭氧在液体中的不均匀分布,超声波的加入不仅可以分散材料,而且还起到在线清洗陶瓷膜和催化剂的作用。罗丹明B(RhB)溶液体积为2L,浓度为40mg/L的最佳处理条件为催化剂浓度为0.4mg/L,反应温度为45°C,超声时间1小时,600W的超声强度,RhB的去除率可达90%。此外,采用计算流体力学(CFD)模拟方法,通过流动分析研究了气液两相之间的流体流动以及隔膜泵负压对流体的影响,陶瓷膜(CM)反应装置的压力和臭氧通量。CFD模拟结果表明,在入口气液流速为3m/s,负压为20,000Pa时,CM-1的最大流量为3m/s,CM-2为0.752m/s,CM-3为0.228m/s。漩涡,有利于固液混合和气液传质,在CM-1的吸入口CM-1与CM-2和CM-3的入口之间形成。这一发现与相关实验研究结果是一致的。与其他系统相比,在US/HM-RM/O3系统中观察到显著更高浓度的OH和溶解臭氧。表明通过应用超声波显著提高了臭氧利用率。证明了US/HM-RM/O3器件的优越性。在最佳操作条件下对实际染料废水进行了测试,结果表明,处理180min后,COD和TOC分别降低了81.34%和60.23%。上述研究可为超声增强臭氧氧化陶瓷膜处理染料废水提供技术支持。
    In this study, ozone catalysts (hydrogenation-modified red mud, HM-RM) successfully prepared by hydrogenation-modification of industrial hazardous solid waste red mud (RM) as a raw material in accordance with the viewpoint of treating waste with waste and using waste. Meanwhile, as for the common phenomenon of membrane fouling, uneven distribution of multiphase solid catalysts and ozone in liquids, the addition of ultrasound can not only disperse materials, but also play a role in online cleaning of ceramic membranes and catalysts. The optimum treatment conditions for Rhodamine B (RhB) solution with volume of 2 L and concentration of 40 mg/L were catalyst concentration of 0.4 mg/L, reaction temperature of 45 °C, ultrasonic time of 1 h, ultrasonic intensity of 600 W, removal rate of RhB was up to 90 %. In addition, the computational fluid dynamics (CFD) simulation method was used to investigate the fluid flow between the two gas-liquid phases and the effect of the negative pressure of the membrane pump on the fluid by the analysis of flow, pressure and ozone flux of the ceramic membrane(CM) reaction apparatus. The CFD simulation results showed that at the inlet gas-liquid flow rate of 3 m/s and the negative pressure of 20,000 Pa, the maximum flow rates of CM-1 were 3 m/s, 0.752 m/s for CM-2, and 0.228 m/s for CM-3, respectively. Vortices, which are beneficial to solid-liquid mixing and gas-liquid mass transfer, formed between the suction port CM-1 of CM-1 and the inlets of CM-2 and CM-3. This discovery is consistent with relevant experimental research results. Significantly higher concentrations of both •OH and dissolved ozone were observed in the US/HM-RM/O3 system compared to other systems, indicating the significant improvement in ozone utilization rate through the application of ultrasound. The superiority of the US/HM-RM/O3 device was demonstrated. The real dye effluent was tested under optimum operating conditions and the results showed that COD and TOC were reduced by 81.34 % and 60.23 % respectively after 180 min of treatment. The above research can provide technical support for the treatment of dye wastewater using Ultrasound-enhanced ozone oxidation ceramic membranes.
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  • 文章类型: Journal Article
    颈动脉内膜切除术是对抗颈动脉粥样硬化的主要方法,会破坏大脑循环.动脉粥样硬化风险的普遍接受的标记是与近壁剪切应力相关的血液动力学指标。这项工作的目的是对各种颈动脉分叉模型中的血液动力学指标进行比较分析。为了优化血液动力学指标,还正在研究模型几何形状的虚拟变化的影响。根据计算机血管造影数据,构建颈动脉分叉模型,其中使用计算流体动力学建立血液动力学指标的关键区域。对不同类别模型的临界区进行了比较分析。“正常”组和术后组之间临界区的平均指数的比较得出的结果差了5倍以上。区域的近分叉部分的相同结果为术后模型提供了25%的更好结果。不显著斑块的虚拟“去除”导致斑块以前位置的指数恶化高达40%。所描述的方法使得可以构建指标临界区并将其与各种类型的模型进行比较。提出了一种用于虚拟改变血管形状的技术(虚拟手术)。该方法的新颖性在于使用真实的血管模型和假设的“改进的”虚拟模型进行比较分析,以及将术后模型的临界区划分为不同成因的子区。 .
    Carotid endarterectomy is the main way to combat atherosclerosis of the carotid arteries, which disrupts cerebral circulation. The generally accepted marker of atherogenesis risk are hemodynamic indices associated with near-wall shear stress. The purpose of the work is to conduct a comparative analysis of hemodynamic indices in various carotid bifurcation models. The influence of a virtual change in the geometric shape of the model in order to optimize hemodynamic indices is also being studied. On the basis of computed angiography data, carotid bifurcation models are constructed, in which critical zones of hemodynamic indices are built using computational fluid dynamics. A comparative analysis of the critical zones for different classes of models is carried out. Comparison of averaged indices for critical zones between \'normal\' and post-operative groups gave more than 5-x worse results for the latter. The same results for the near-bifurcation parts of the zones give a 25% better result for postoperative models. Virtual \'removal\' of insignificant plaques leads to a deterioration of the indices of up to 40% in the places of the plaque\'s former location. The described method makes it possible to build the indices critical zones and compare them for various types of models. A technique for virtual changing the shape of a vessel (virtual surgery) is proposed. The novelty of the approach lies in the use for comparative analysis both real vessel models and hypothetical \'improved\' virtual ones, as well in the proposed division of post-operative model\'s critical zones into subzones of different genesis.
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