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Comparison Study Between Galerkin Finite Element Method and Finite Volume Method for Diffusion Problem 针对扩散问题的 Galerkin 有限元方法与有限体积法对比研究
Pub Date : 2024-01-21 DOI: 10.37934/arnht.15.1.2442
Wah Yen Tey, Yutaka Asako, Keng Yinn Wong
The finite element method (FEM) is a robust and widely applied numerical scheme in the simulation of engineering problems, especially in structural mechanics. However, FEM is not as popular as the finite volume method (FVM) in Computational Fluid Dynamics (CFD), possibly due to its complicated numerical procedures. Indeed, FEM possesses tremendous advantages compared with FVM, particularly in dealing with complex geometry and rendering attractive flexibility to modify the interpolation functions. It is well-known that FEM and FVM differ in mathematical formulation, yet there is a lack of practical comparison between them. Therefore, the paper aims to develop a Galerkin FEM (GFEM) model, investigate its strengths and weaknesses compared with FVM, and discuss the conciliation between FEM and FVM. Our case study focuses on a two-dimensional diffusion problem comprising steady and transient cases, with and without heat generation. Our investigation revealed that GFEM does not possess conservative properties, which might yield spurious heat flux, leading to a 2 – 4% overestimation of the temperature field, depending on the amount of heat generation. Moreover, GFEM incurs approximately 34% higher computational time than FVM. However, FVM can be perceived as a special form of GFEM, and their relations were discussed.
有限元法(FEM)是模拟工程问题,尤其是结构力学问题的一种稳健而广泛应用的数值方案。然而,在计算流体动力学(CFD)中,有限元法并不像有限体积法(FVM)那样流行,这可能是由于其复杂的数值计算程序造成的。事实上,与有限体积法相比,有限元法具有巨大的优势,特别是在处理复杂几何形状和灵活修改插值函数方面。众所周知,有限元和有限差分在数学表达上有所不同,但两者之间缺乏实际比较。因此,本文旨在开发一种 Galerkin FEM(GFEM)模型,研究其与 FVM 相比的优缺点,并讨论 FEM 与 FVM 之间的协调问题。我们的案例研究侧重于一个二维扩散问题,包括稳定和瞬态两种情况,有热量产生和无热量产生两种情况。我们的研究发现,GFEM 不具备保守特性,可能会产生虚假的热通量,导致温度场被高估 2 - 4%,具体取决于发热量的多少。此外,GFEM 的计算时间比 FVM 高出约 34%。不过,FVM 可以看作是 GFEM 的一种特殊形式,并讨论了它们之间的关系。
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引用次数: 0
Numerical Investigation on Thermal Performance of Various Designs Plate-Fin Heat Sinks Subject to Parallel and Impinging Flow 平行流和冲击流作用下不同设计板翅片散热器热性能的数值研究
Pub Date : 2023-07-19 DOI: 10.37934/arnht.13.1.6680
Muhammad Zarif Bin Shaharudin, Syahar Shawal, Mazwan Mahat, Mohd Rosdzimin Abdul Rahman
The electronic industry has been working for decades to improve the cooling efficiency of heat sinks by creating more advanced, efficient cooling technologies. However, heat dissipation remains the major problem in this highly competitive sector. Plate-fin heat sinks with and without fillet profiles were investigated and two new proposed designs for plate-fin heat sinks with half-round pins attached to the fin were developed in this study. Numerical analysis was performed using ANSYS FLUENT R21 to evaluate the thermal performance of the proposed designs. For the element optimization, the grid independency test analysis was performed to obtain the optimal number of elements. A constant heat flux of 18750 W/m2 was applied at the bottom plate of heat sinks as the input parameter and two different flow directions e.g., impinging flow and parallel flow at various mass flow rate was also applied to study the base temperature, thermal resistance and Nusselt number of these designs. The study has shown that plate-fin heat sinks with fillet profile and corrugated half-round pins (PFHS 4) subject to parallel flow and plate-fin heat sinks with fillet profile and symmetrical half-round pins (PFHS 3) subject to impinging flow exhibit better thermal performance over other configurations. Hence, these design configurations have a potential to be applied in the future
几十年来,电子工业一直致力于通过创造更先进、更高效的冷却技术来提高散热片的冷却效率。然而,在这个竞争激烈的行业,散热仍然是主要问题。本文研究了带圆角和不带圆角的板翅散热器,提出了两种带半圆钉的板翅散热器设计方案。利用ANSYS FLUENT R21进行了数值分析,以评估所提出设计的热性能。在单元优化方面,进行网格独立性试验分析,获得最优单元个数。以18750 W/m2的恒定热流密度作为散热片底板的输入参数,并采用不同质量流量下的碰撞流和平行流两种不同的流动方向,研究了这两种设计的基温、热阻和努塞尔数。研究表明,平行流作用下的圆角形和波纹半圆销板翅散热器(PFHS 4)和撞击流作用下的圆角形和对称半圆销板翅散热器(PFHS 3)的散热性能优于其他散热结构。因此,这些设计配置在未来具有应用的潜力
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引用次数: 0
Comparison of Air Flow Distribution in the Building for Different Position of Air Return 不同回风位置下建筑物内气流分布的比较
Pub Date : 2023-07-19 DOI: 10.37934/arnht.13.1.8186
Fatimah Yusop, M. M. Syafiq Syazwan, Nik Normunira Mat Hassan, K. A. Mohd Sari, M. A. A. Rahman, Nuramidah Hamidon, Faridahanim Ahmad, Mohd Kamrulzaman Musa
A modern building has requirements need to consider increasing the quality of the building. In design the building, fresh air, cooling, and heating is the important role to consider. The Heating, Ventilation and Air conditioning (HVAC) is most important part in building. Centralized system is the common use especially in large building. Usually, the system is using diffuser for air inlet and grille for air return. Therefore, the aim of this study is to determine the effectiveness of grilles position to distribute the cool air into building. The aims of this papers are to simulate three types of location grilles for a building. In addition, the number of diffusers and grilles are same for each type. RNG K-ɛ model was used as the turbulence model. The result show that different position will affect the air flow pattern due the different position of grille
现代建筑有要求需要考虑提高建筑的质量。在建筑设计中,新风、制冷和供暖是需要考虑的重要因素。暖通空调(HVAC)是建筑物中最重要的组成部分。集中式系统是常用的,特别是在大型建筑中。系统通常采用扩散器进风,格栅回风。因此,本研究的目的是确定格栅位置在将冷空气分配到建筑物中的有效性。本文的目的是模拟三种类型的定位格栅的建筑物。此外,每种类型的扩散器和格栅的数量是相同的。湍流模型采用RNG K- ε模型。结果表明,由于格栅位置的不同,不同的位置会影响气流的流态
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引用次数: 0
Lattice Boltzmann Computation of Steady Cross-Flow Across a Rectangular Obstacle with Different Aspect Ratio: Effect of Blockage Ratio 不同宽高比矩形障碍物定常横流的格子玻尔兹曼计算:堵塞比的影响
Pub Date : 2023-07-19 DOI: 10.37934/arnht.13.1.117
Krunal Gangawane
This work presents a two dimensional lattice Boltzmann analysis of steady and cross-flow of New tonian fluid across a built-in rectangular cylinder. In particular, the effects of the blockage ratio and aspect ratio of rectangular cylinder (width/height) on the momentum characteristics have been explored for range of flow governing parameters such as, blockage ratio (β = 1/8, 1/12, 1/16), aspect ratio of rectangular cylinder (1 ≤ a_r ≤ 6) at constant Reynolds number of Re = 40 corresponding to the laminar range. The physical insight of system is gained by evaluation of stream-function, vorticity and pressure coefficient variation, etc. Further, the engineering gross parameter, such as drag coefficient is determined for possible use in engineering design purpose. It is observed that the increase in blockage ratio drag coefficient values decreases and drag values show proportional variation with aspect ratio. Finally, a closure relationship is developed between drag coefficient, blockage ratio and aspect ratio of rectangular cylinder for possible use in engineering/scientific practices
这项工作提出了一个二维晶格玻尔兹曼分析的稳定和横流的新顿流体在一个内置的矩形圆柱体。在雷诺数为Re = 40的流控参数范围内,考察了阻塞比(β = 1/ 8,1 / 12,1 /16)、矩形圆柱长径比(1≤a_r≤6)等阻塞比和长径比(宽/高)对层流范围动量特性的影响。通过对流函数、涡度和压力系数变化等的评价,获得了系统的物理特性。进一步,确定工程总参数,如阻力系数,以便在工程设计中可能使用。观察到堵塞比增大后阻力系数值减小,阻力值随长径比呈正比变化。最后,建立了阻力系数、堵塞比和矩形圆柱长径比之间的闭合关系,为工程/科学实践提供了可能的应用
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引用次数: 0
Laminar Mixed Convection Heat Transfer Analysis in Horizontal Annuli using Hybrid Nanofluid 基于混合纳米流体的水平环空层流混合对流换热分析
Pub Date : 2023-07-19 DOI: 10.37934/arnht.13.1.5265
Riyadh Fayez Sughayyir AlYasi, Nazrul Islam, Radi Abdulmonem alsulami, Badr Ali Bzya Albeshri
Heat transfer can be augmented by employing different methodologies and techniques, such as increasing either the heat transfer surface or the heat transfer coefficient between fluid and surface that allows high heat transfer rates in a small volume. The enhanced thermal behavior of nanofluids could supply a basis for a huge innovation in heat transfer intensification. Recently, a new type of nanofluid, known as hybrid nanofluid, which consists of a mixture of two different nanoparticles suspended in the base fluid like water. The present study deals with the analysis of laminar mixed convection heat transfer in horizontal annuli using hybrid nanofluid with the thermal boundary condition of constant heat flux at the inner wall and isothermal outer wall. The SIMPLER numerical algorithm is adopted in the present study. The hybrid nanofluid consists of water as base fluid and Ag-TiO2 as nanoparticles. The ratio of Ag to TiO2 is maintained as 1:3. Main objective of the present study is to compute numerically three-dimensional axis-symmetric, incompressible, steady, laminar flow through annular ducts to investigate the effect of the hybrid nanofluid Ag-TiO2/water on thermal-hydrodynamic characteristics. The analysis reveals that secondary flow due to the buoyancy forces plays an important role in augmenting heat transfer. The development of axial flow and temperature field are strongly found to be influenced by buoyancy. Nusselt number near the entrance region is found to be maximum, then attains a minimum value at a location slightly away from the entrance, and then starts increasing slowly due to the increased buoyancy effects. Finally, the flow becomes almost stable and a nearly constant value of Nusselt number is observed as the flow approaches fully development situation. At a given axial location Nusselt number was found to increase with increasing volumetric concentration of nanoparticle. The effect of Gr Radius ratio on the Nusselt number was also studied
传热可以通过采用不同的方法和技术来增强,例如增加传热表面或流体与表面之间的传热系数,从而在小体积内实现高传热率。纳米流体的增强热行为可以为传热强化的巨大创新提供基础。最近,一种新型的纳米流体被称为混合纳米流体,它是由悬浮在基础流体(如水)中的两种不同纳米颗粒的混合物组成的。在内壁热流密度恒定、外壁等温的热边界条件下,利用混合纳米流体对水平环空层流混合对流换热进行了研究。本研究采用较简单的数值算法。混合纳米流体由水作为基流体和Ag-TiO2作为纳米颗粒组成。Ag与TiO2的比例保持在1:3。本研究的主要目的是通过数值计算三维轴对称、不可压缩、稳定的层流通过环形管道,研究Ag-TiO2/水混合纳米流体对热流体动力特性的影响。分析表明,浮力引起的二次流对增加换热有重要作用。轴流和温度场的发展受到浮力的强烈影响。努塞尔数在靠近入口区域最大,然后在稍远离入口的位置达到最小值,然后由于浮力效应的增加而开始缓慢增加。最后,当流动接近完全发展状态时,流动趋于稳定,努塞尔数趋于恒定。在给定的轴向位置,努塞尔数随着纳米颗粒体积浓度的增加而增加。研究了Gr半径比对Nusselt数的影响
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引用次数: 0
A Proposed Seaplane Float in Water Entry Problem and Landing in Waves using Particle Based Method 一种基于粒子法的水上飞机水上浮子进入问题及波浪降落方法
Pub Date : 2023-07-19 DOI: 10.37934/arnht.13.1.3138
D. B. Eskayudha, Kenji Yamamoto, Taiga Kanehira, Takuji Nakashima, Hidemi Mutsuda
Seaplane is the newly transportation mode which is developed in the Indonesian Archipelago Region. Originally, the seaplane is equipped by pair of the floats in function to withstand the aircraft load and maintain the seaplane on the water stably. One of the critical moments in the seaplane operation is in the landing phase in waves. The failure in the float performance can be led into severe conditions, even the capsize. In this paper, the aims are to determine the water impact characteristics and response of the proposed seaplane float by implementing the water entry case, calm water landing, and when landing in the periodic waves condition. The numerical model was developed using DualSPHysics based on Smoothed Particle Hydrodynamic to obtain more realistic and accurate prediction of the pressure, velocity fields, and water spray motion with droplets in complex shape of the float. According to numerical results and reproducible experimental data in this study, the 2D water entry and 3D calm and waves water problem were applied to reproduce the detailed characteristics of the interaction between the proposed seaplane float and the water surface with splashing. The paper showed that the developed model could be a useful tool to design the seaplane float for Indonesian seaplane in the future
水上飞机是印尼群岛地区发展起来的一种新型交通工具。最初,水上飞机是由一对浮子组成的,以承受飞机的载荷,保持水上飞机在水面上的稳定。水上飞机在波浪中着陆是水上飞机运行的关键时刻之一。浮子性能的失效会导致严重的情况,甚至倾覆。本文的目的是通过实施入水情况、静水降落情况和周期波降落情况来确定水上飞机浮子的水冲击特性和响应。利用基于光滑粒子流体动力学的dualspphysics建立数值模型,对具有复杂形状水滴的浮子的压力场、速度场和喷水运动进行更真实、准确的预测。根据本研究的数值结果和可重复性实验数据,采用二维入水和三维静浪水问题再现了所提出的水上飞机浮子与溅水水面相互作用的详细特征。该模型可为今后印尼水上飞机的水上飞机浮筒设计提供参考
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引用次数: 0
Modelling of the Flame Synthesis of Single-walled Carbon Nanotubes in Non-premixed Flames with Aerosol Catalyst 气溶胶催化剂非预混火焰中单壁碳纳米管火焰合成的模拟
Pub Date : 2023-07-19 DOI: 10.37934/arnht.13.1.3951
Muhammad Syafiq Ridhwan Selamat, Muhammad Thalhah Zainal, Mohd Fairus Mohd Yasin, Norikhwan Hamzah, Nor azwadi Che Sidik
The use of aerosol catalyst in the flame synthesis of carbon nanotube (CNT) is known to yield single-walled CNT (SWCNT) that is useful for various applications. Modelling works are needed to optimize operating conditions for SWCNT growth but are unavailable. Therefore, a baseline model for the aerosol-catalyst system in flames is developed and the effect of oxygen on SWCNT growth is investigated. A baseline flame model for a normal diffusion flame with 24% oxygen concentration at the inlet is established via Computational Fluid Dynamic simulation. A dispersed phase model (DPM) is employed to simulate the entrainment of catalyst particles. The flame model is coupled with a published CNT growth rate model to predict the CNT growth rate at each particle. Inlet oxygen concentration is varied from 19% to 27% to study the effect of oxygen on SWCNT growth. Satisfactory validation of the baseline flame shape and temperature is established. Results show that particle 3 for the baseline case yields the highest CNT length compared to other particles due to the suitable path for the synthesis. The particles are classified based on the shortest time residence, moderate and longest time residence. Increasing oxygen concentration from 19% to 27% results in a 30% decrease in CNT length for particle 3 for each inlet condition due to lower carbon precursor and composition in the flame. Furthermore, the results showed that regardless of burner operating conditions, high SWCNT growth is consistently predicted between 120-140 mm HAB, which indicates the existence of an optimum range of species concentration for SWCNT growth in aerosol-based flame synthesis. Thus, it can be inferred that SWCNT growth in the aerosol–based method is highly dependent on carbon source and moderately dependent on temperature
在火焰合成碳纳米管(CNT)中使用气溶胶催化剂可以产生单壁碳纳米管(SWCNT),这对各种应用都很有用。需要建模工作来优化swcnts生长的操作条件,但目前还没有。因此,建立了火焰中气溶胶-催化剂体系的基线模型,并研究了氧对swcnts生长的影响。通过计算流体动力学仿真,建立了进口氧浓度为24%时正常扩散火焰的基线火焰模型。采用分散相模型(DPM)来模拟催化剂颗粒的夹带。火焰模型与已发表的碳纳米管生长速率模型相结合,以预测每个粒子的碳纳米管生长速率。入口氧浓度在19% ~ 27%之间变化,研究氧对swcnts生长的影响。建立了令人满意的基线火焰形状和温度验证。结果表明,由于合适的合成路径,基线情况下的粒子3与其他粒子相比产生了最高的碳纳米管长度。按最短停留时间、中等停留时间和最长停留时间对颗粒进行分类。将氧浓度从19%增加到27%,由于火焰中的碳前体和成分降低,在每种入口条件下,颗粒3的碳纳米管长度减少30%。此外,研究结果表明,无论燃烧器的工作条件如何,在120-140 mm的HAB范围内都可以预测到高的swcnts生长,这表明在气溶胶基火焰合成中存在swcnts生长的最佳物种浓度范围。因此,可以推断,在气溶胶为基础的方法中,swcnts的生长高度依赖于碳源,适度依赖于温度
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引用次数: 0
Numerical Analysis of Battery Thermal Management System of Electric Vehicle 电动汽车电池热管理系统数值分析
Pub Date : 2023-07-19 DOI: 10.37934/arnht.13.1.106114
Lai Qit Inn, A. N. Oumer, Azizuddin Abd Aziz, Januar Parlaungan Siregar, Tezara Cionita
This study is modelling the direct liquid cooling system of battery used in Electric Vehicle. The purpose of the study is to investigate the performance of the Li-ion battery model under different input of parameters and to evaluate the optimum parameters for the battery thermal management system model to maintain at its peak performance. SolidWorks and ANSYS are used to model and simulate the battery whereas MINITAB software is selected for conducting the statistical analysis. Heat flux, mass flow rate at the inlet and the thickness of the battery model has been selected as input of the simulation. The obtained results show that the heat transfer coefficient is increasing with the higher heat flux and mass flowrate but decreasing with the thickness of the battery model. Pressure drop remains constant when heat flux varies but increasing with mass flow rate and inversely proportional with the thickness of battery. For statistical analysis, an optimum value for the parameters is proposed to maintain the battery to operate with a highest heat transfer coefficient but lowest in pressure difference. Overall, the study has been conducted successfully and fulfilled the objectives stated.
本文对电动汽车用蓄电池直接液冷系统进行了建模研究。本研究的目的是研究不同参数输入下锂离子电池模型的性能,并评估电池热管理系统模型保持其峰值性能的最佳参数。采用SolidWorks和ANSYS对电池进行建模和仿真,选用MINITAB软件进行统计分析。选取热流密度、入口质量流率和电池模型厚度作为仿真输入。结果表明:换热系数随热流密度和质量流量的增大而增大,随电池模型厚度的增大而减小;当热流密度变化时,压降保持不变,但随着质量流量的增大而增大,与电池厚度成反比。通过统计分析,提出了各参数的最优值,以保持电池以最高的传热系数和最低的压差运行。总的来说,这项研究进行得很成功,达到了既定的目标。
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引用次数: 0
Dispersion of Solute in Casson Fluid through a Stenosed Artery with the Effect of Body Acceleration 卡森液中溶质通过狭窄动脉的分散与身体加速度的影响
Pub Date : 2023-07-19 DOI: 10.37934/arnht.13.1.8795
Nuur Atikah Elias, Nurul Aini Jaafar, Intan Diyana Munir, Sharidan Shafie
Body acceleration and slip velocity effects towards the dispersion of solute in Casson blood flow through a stenosed artery is investigated mathematically. Momentum and constitutive equations are solved analytically to obtain the blood velocity. Convective-diffusion equation is solved using Generalized Dispersion Model to obtain dispersion function and mean concentration of solute. A study has been conducted on how body acceleration and slip velocity disturb the dispersion of a solute in blood flow. With the increase of slip velocity and body acceleration, blood velocity increases. The impact of body acceleration on blood flow is to increase flow rate while lowering resistance to flow. Casson fluid is a suitable fluid model to examine the blood velocity and drug transport to the targeted problematic region through a narrow artery for the treatment of arterial diseases. The findings of the present study can be beneficial for pharmaceutical research to design better drug by referring mathematical analysis data that produced in this study.
用数学方法研究了体加速度和滑移速度对狭窄动脉血流中溶质弥散的影响。对动量方程和本构方程进行解析求解,得到血流速度。采用广义色散模型求解对流扩散方程,得到色散函数和溶质平均浓度。一项关于身体加速度和滑移速度如何干扰溶质在血流中的分散的研究已经进行了。随着滑移速度和体加速度的增大,血流速度增大。身体加速对血流的影响是在增加血流速率的同时降低血流阻力。卡森液是检测血液流速和药物通过狭窄动脉输送到目标问题区域的一种合适的流体模型,用于动脉疾病的治疗。本研究结果可为药学研究提供参考,以设计出更好的药物。
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引用次数: 0
Evaluation of Virus Concentration Analysis in the Airway by CFD 基于CFD的气道病毒浓度分析的评价
Pub Date : 2023-07-19 DOI: 10.37934/arnht.13.1.96105
Yoshiki Yanagita, Kaishan Feng, Yuko Miyamura, Adi Azriff Basri, Mohammad Zuber, Siti Rohani, Abdul Aziz, Kamarul Arifin Ahmad, Masaaki Tamagawa
Currently, Covid-19 is an epidemic all over the world. When virus directly adhere to mucous membrane of airway by breath, some humans maybe get inflammatory responses by viruses in the first stage of infection. The airway is composed of the nasal cavity, sinuses (Maxillary Sinus, Ethmoid Sinus, Frontal Sinus and Sphenoidal Sinus) and lungs. In the infection stage, the sinuses located in the nasal cavity tend to exhibit particularly high virus concentrations. Therefore, it is important to evaluate quantitatively the areas where viruses are likely to be adhered in the nasal cavity including sinuses. In this study, by CFD including concentration analysis the areas where viruses are likely to be adhered in the nasal cavity are predicted. As for the methods, the nasal cavity was made from 2D-CT image data by Itk-SNAP. For this computation in the nasal cavity continuity equation, Navier-Stokes equation and transport equation are used. And the transport of concentration was computed in the divided 4 parts of nasal cavity. As a result, it was found that the ratio of the concentration to the initial concentration in Ethmoid Sinus is approximately 0.6. It was found that Ethmoid Sinus is the areas where viruses are likely to be adhered and the areas can be predicted by computing the concentration.
当前,新冠肺炎疫情在全球蔓延。当病毒通过呼吸直接附着在气道粘膜上时,一些人在感染的第一阶段可能会产生病毒的炎症反应。气道由鼻腔、鼻窦(上颌窦、筛窦、额窦和蝶窦)和肺组成。在感染阶段,位于鼻腔的鼻窦往往表现出特别高的病毒浓度。因此,定量评估包括鼻窦在内的鼻腔中病毒可能粘附的区域是很重要的。在本研究中,通过CFD包括浓度分析,预测了病毒在鼻腔内可能粘附的区域。方法采用Itk-SNAP软件对二维ct图像数据进行鼻腔成像。鼻腔连续性方程的计算采用了Navier-Stokes方程和输运方程。并计算浓度在鼻腔4个部位的输运情况。结果发现,筛窦内浓度与初始浓度之比约为0.6。发现筛窦是病毒最容易粘附的区域,通过计算病毒浓度可以预测病毒粘附的区域。
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引用次数: 0
期刊
Journal of Advanced Research in Numerical Heat Transfer
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