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Heat Flux Characterization From a Band Heater to Pipe Using Inverse Heat Conduction Problem Method 利用反热传导问题法确定从带状加热器到管道的热流特性
Pub Date : 2024-02-13 DOI: 10.1115/1.4064731
Ramon Peruchi Pacheco da Silva, K. Woodbury, F. Samadi, Joseph Carpenter
An experimental apparatus was constructed to correlate water flow rate and temperature rise under an external band heater. Due to the physical characteristics of the band heater, its transient heating behavior is unknown. This paper investigates the application of Inverse Heat Conduction Problem (IHCP) methods to characterize the heat flux from the band heater. Three experiments with different heating times (5, 10, and 20 seconds) and no flow rate were conducted to measure the transient temperature under the 400 W band heater. Type-T thermocouples measure surface temperature at the centerline of the band heater. The experimental results are computed with five different heat conduction models. The models are chosen to identify how the heat flux response varies from a simplified to a realistic model. Additionally, the results of the experimental heat flux are compared to the manufacturer band heater data (58.9 kW/m2) for each model. The minimum time needed for the heater to fully energize the system is from 10 to 12 seconds. The residuals for each model are analyzed and used to evaluate the appropriateness of the five different models. The results show that the use of simpler models can achieve results similar to those of complex models, with less time and computational cost.
我们建造了一个实验装置,用于关联外部带状加热器下的水流量和温升。由于带状加热器的物理特性,其瞬态加热行为尚不清楚。本文研究了逆热传导问题 (IHCP) 方法的应用,以确定来自带状加热器的热通量的特征。进行了三次不同加热时间(5 秒、10 秒和 20 秒)和无流速的实验,以测量 400 W 带状加热器下的瞬态温度。T 型热电偶测量带状加热器中心线的表面温度。实验结果通过五种不同的热传导模型计算得出。选择这些模型是为了确定从简化模型到现实模型的热通量响应是如何变化的。此外,每个模型的实验热通量结果都与制造商提供的带状加热器数据(58.9 kW/m2)进行了比较。加热器完全启动系统所需的最短时间为 10 至 12 秒。对每个模型的残差进行了分析,并用于评估五个不同模型的适当性。结果表明,使用较简单的模型可以获得与复杂模型类似的结果,而且时间和计算成本更低。
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引用次数: 0
Effects of Flow Pulsation and Surface Geometry On Heat Transfer Performance in a Channel with Teardrop-shaped Dimples Investigated by Large Eddy Simulation 通过大涡流模拟研究流动脉动和表面几何形状对带有泪滴状凹坑的通道传热性能的影响
Pub Date : 2024-02-13 DOI: 10.1115/1.4064735
K. Inokuma, Yuki Yawata, A. Murata, K. Iwamoto
Large eddy simulation was performed to investigate heat transfer performance of a pulsating flow over teardrop-shaped dimples. A total of six geometries of dimpled surfaces were examined for dimple arrangements of in-line/staggered/original and dimple inclination angle of 0-60 deg. Pulsating flows were generated by sinusoidally varying the volume-averaged velocity. The pulsation frequency and amplitude were changed for the Strouhal number of 0-0.60 and the root-mean-square velocity amplitude normalized by the bulk flow velocity of 0-0.14. The results showed that the surface-averaged Nusselt number and friction factor were larger for the pulsating flow case than those for the steady flow case. The surface-averaged Nusselt number ratio and the friction factor increased with the Strouhal number up to the Strouhal number of 0.30. For the Strouhal number larger than 0.30, they decreased with the Strouhal number or stayed almost constant. Consequently, the heat transfer efficiency index increased with the Strouhal number. The increase in the local Nusselt number ratio due to the flow pulsation was observed at the leading-edge region of the dimples. The results of the streamlines near the dimple showed that the swirling separation bubble was located closer to the leading-edge region due to the pulsation, which resulted in the increase of the absolute values of the turbulent heat flux and the local Nusselt number ratio.
为研究水滴形凹点上脉动流的传热性能,进行了大涡流模拟。共研究了六种几何形状的凹陷表面,凹陷排列方式为内嵌式/交错式/原位式,凹陷倾角为 0-60 度。脉动流是通过正弦改变体积平均速度产生的。当斯特劳哈尔数为 0-0.60 时,脉动频率和脉动振幅发生变化;当速度的均方根振幅以 0-0.14 的体积流速度归一化时,脉动频率和振幅发生变化。结果表明,脉动流情况下的表面平均努塞尔特数和摩擦因数大于稳定流情况下的表面平均努塞尔特数和摩擦因数。表面平均努塞尔特数比和摩擦因数随着斯特劳哈尔数的增加而增加,直到斯特劳哈尔数达到 0.30。当斯特劳哈尔数大于 0.30 时,它们随着斯特劳哈尔数的增大而减小或几乎保持不变。因此,传热效率指数随斯特劳哈尔数的增加而增加。在凹窝的前缘区域观察到了由于流动脉动引起的局部努塞尔特数比的增加。酒窝附近的流线结果显示,由于脉动,漩涡分离气泡更靠近前缘区域,这导致了湍流热通量和局部努塞尔特数比绝对值的增加。
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引用次数: 0
Buoyancy and Velocity Field Synergy Principle in Convective Heat Transfer and its Role in Thermo-Hydraulic Performance Improvement 对流传热中的浮力和速度场协同原理及其在改善热-水力性能中的作用
Pub Date : 2024-02-13 DOI: 10.1115/1.4064734
Dong Yang, Xinyue Hu, Feilong Chen, Yingli Liu
This study proposes the buoyancy and velocity field synergy principle and aims to enhance thermo-hydraulic performance in convective heat transfer. A mechanical energy conservation equation concerning synergy between buoyancy and velocity was derived, which describes the mechanical energy transport and dissipation in convective heat transfer. Two new field synergy numbers, Fsu,g and Fsu,p, were proposed to characterize the degree of synergy between velocity and buoyancy, and the degree of synergy between velocity and pressure gradient over the fluid domain, respectively. The pressure drop of a channel subjected to convective heat transfer is related to not only Gr/Re2 but also Fsu,g. Under a same Gr/Re2, a larger | Fsu,g | leads to a smaller | Fsu,p |, and thus the pressure drop is decreased. Furthermore, the multi-field synergetic relationships among buoyancy, velocity, temperature gradient and pressure gradient were analyzed for convective heat transfer in channels. The correlation between Fsu,p and Fsu,g *Gr/Re2, and the correlation between Fsu,g and a traditional field synergy number characterizing convective heat transfer capability, Fc, were derived, which reveals the coupled mechanisms of mechanical energy dissipation and thermal energy transport. The proposed principle was applied in typical channel flows subjected to convective heat transfer, and its benefits were demonstrated. It is noted that both pressure drop reduction and convective heat transfer enhancement can be achieved in using the proposed principle. This paper provides a new insight for improving thermo-hydraulic performance of heat exchangers.
本研究提出了浮力场和速度场协同原理,旨在提高对流传热中的热液压性能。推导了浮力与速度场协同作用的机械能守恒方程,描述了对流传热中的机械能传输与耗散。提出了两个新的场协同数 Fsu,g 和 Fsu,p,分别表征速度与浮力之间的协同程度,以及速度与流体域上压力梯度之间的协同程度。受对流传热影响的通道压降不仅与 Gr/Re2 有关,还与 Fsu,g 有关。在相同的 Gr/Re2 条件下,Fsu,g 越大,Fsu,p 越小,压降也就越小。此外,还分析了浮力、速度、温度梯度和压力梯度在通道对流传热中的多场协同关系。得出了 Fsu,p 与 Fsu,g *Gr/Re2 之间的相关性,以及 Fsu,g 与表征对流传热能力的传统场协同数 Fc 之间的相关性,揭示了机械能耗散和热能传输的耦合机制。所提出的原理被应用于典型的对流传热的通道流中,并证明了其优势。结果表明,利用所提出的原理,既能减少压降,又能增强对流传热。本文为改善热交换器的热液性能提供了新的见解。
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引用次数: 0
Melting and Heat Transfer Characteristics of Phase Change Material: A Comparative Study On Wire Mesh Finned Structure and Other Fin Configurations 相变材料的熔化和传热特性:丝网鳍片结构与其他鳍片配置的比较研究
Pub Date : 2024-02-13 DOI: 10.1115/1.4064732
Arun Uniyal, Deepak Kumar, Y. Prajapati
In the present paper, a two-dimensional transient numerical study has been performed to investigate the influence of different fin designs on the melting and heat transfer characteristics of phase change material (PCM) filled inside the square enclosure. Paraffin wax is considered PCM in the present study. Five distinct fin designs were considered: single rectangular, double rectangular, double triangular, double angled, and wire mesh. It is worth noting that all these fin designs have the same heat transfer area. Six parameters were evaluated to determine the best fin configurations: melting time, enhancement ratio (ER), time savings, energy stored, mean power, and Nusselt number. The results show that all the fin designs outperformed as compared to Model 1 (no fin configuration). Among the finned configurations, Model 2 had the poorest performance, taking 1314 seconds to complete melting, while Model 6 had the most efficient fin design, with a melting time reduced by 67.53% compared to Model 1. Model 6 also had the highest ER and mean power, i.e., 70.43% and 199.51%, respectively, and as the melting process continued, the Nusselt number decreased. In addition to the above, we optimized the element size of the wire mesh fin design using the RSM methodology. This optimized design decreased the melting period by 70.04%. Overall, this study provides a comprehensive analysis of different finned configurations for improving the melting performance of PCM in a square enclosure, with the wire-mesh fin design showing the most promising result.
本文进行了一项二维瞬态数值研究,以探讨不同翅片设计对填充在方形外壳内的相变材料(PCM)的熔化和传热特性的影响。本研究将石蜡视为 PCM。研究考虑了五种不同的翅片设计:单矩形、双矩形、双三角形、双角和金属丝网。值得注意的是,所有这些翅片设计都具有相同的传热面积。为确定最佳翅片配置,对六个参数进行了评估:熔化时间、增强比(ER)、节省时间、储存能量、平均功率和努塞尔特数。结果表明,与模型 1(无翅片配置)相比,所有翅片设计的性能均优于模型 1。在翅片配置中,模型 2 的性能最差,需要 1314 秒才能完成熔化,而模型 6 的翅片设计效率最高,熔化时间比模型 1 缩短了 67.53%。模型 6 的 ER 值和平均功率也最高,分别为 70.43% 和 199.51%,而且随着熔化过程的继续,努塞尔特数也在下降。除此之外,我们还利用 RSM 方法优化了金属丝网翅片设计的元素尺寸。这种优化设计使熔化周期缩短了 70.04%。总之,本研究对不同翅片配置进行了全面分析,以改善方形外壳中 PCM 的熔化性能,其中金属丝网翅片设计显示出最有前途的结果。
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引用次数: 0
Investigation of Heat Source Layout Optimization by Using Deep Learning Surrogate Models 利用深度学习代用模型进行热源布局优化的研究
Pub Date : 2024-02-13 DOI: 10.1115/1.4064733
Ji Lang, Qianqian Wang, Shan Tong
The optimization of heat source layout (HSLO) is able to facilitate superior heat dissipation, thereby addressing the complexities associated with thermal management. However, HSLO is characterized by numerous degrees of freedom and complex interrelations between components. Conventional optimization methodologies often exhibit limitations such as high computational demands and diminished efficiency, particularly with large-scale predicaments. This study introduces the application of deep learning surrogate models grounded in backpropagation neural (BP) networks to optimize heat source layouts. These models afford rapid and precise evaluations, diminishing computational loads and enhancing the efficiency of HSLO. The suggested framework integrates coarse and fine search modules to traverse the layout space and pinpoint optimal configurations competently. Parametric examinations are taken to explore the impact of refinement grades and conductive ratios, which dominates the optimization problem. The pattern changes of the conductive channel have been presented. Moreover, the critical conductive ratio has been found, below which the conductive material can not contribute to heat dissipation. The outcomes elucidate the fundamental processes of HSLO, providing valuable insights for pioneering thermal management strategies.
热源布局(HSLO)的优化能够促进良好的散热,从而解决与热管理相关的复杂问题。然而,HSLO 的特点是自由度大,组件之间的相互关系复杂。传统的优化方法往往表现出局限性,如计算要求高、效率低,尤其是在处理大规模困境时。本研究介绍了以反向传播神经(BP)网络为基础的深度学习替代模型在优化热源布局中的应用。这些模型可提供快速、精确的评估,减少计算负荷,提高 HSLO 的效率。所建议的框架集成了粗略和精细搜索模块,以遍历布局空间并准确定位最佳配置。对优化问题中占主导地位的细化等级和导电率的影响进行了参数检验。介绍了导电通道的模式变化。此外,还找到了临界导电率,低于该临界导电率,导电材料将无法促进散热。这些成果阐明了 HSLO 的基本过程,为开创热管理策略提供了宝贵的见解。
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引用次数: 0
Melting and Heat Transfer Characteristics of Phase Change Material: A Comparative Study On Wire Mesh Finned Structure and Other Fin Configurations 相变材料的熔化和传热特性:丝网鳍片结构与其他鳍片配置的比较研究
Pub Date : 2024-02-13 DOI: 10.1115/1.4064732
Arun Uniyal, Deepak Kumar, Y. Prajapati
In the present paper, a two-dimensional transient numerical study has been performed to investigate the influence of different fin designs on the melting and heat transfer characteristics of phase change material (PCM) filled inside the square enclosure. Paraffin wax is considered PCM in the present study. Five distinct fin designs were considered: single rectangular, double rectangular, double triangular, double angled, and wire mesh. It is worth noting that all these fin designs have the same heat transfer area. Six parameters were evaluated to determine the best fin configurations: melting time, enhancement ratio (ER), time savings, energy stored, mean power, and Nusselt number. The results show that all the fin designs outperformed as compared to Model 1 (no fin configuration). Among the finned configurations, Model 2 had the poorest performance, taking 1314 seconds to complete melting, while Model 6 had the most efficient fin design, with a melting time reduced by 67.53% compared to Model 1. Model 6 also had the highest ER and mean power, i.e., 70.43% and 199.51%, respectively, and as the melting process continued, the Nusselt number decreased. In addition to the above, we optimized the element size of the wire mesh fin design using the RSM methodology. This optimized design decreased the melting period by 70.04%. Overall, this study provides a comprehensive analysis of different finned configurations for improving the melting performance of PCM in a square enclosure, with the wire-mesh fin design showing the most promising result.
本文进行了一项二维瞬态数值研究,以探讨不同翅片设计对填充在方形外壳内的相变材料(PCM)的熔化和传热特性的影响。本研究将石蜡视为 PCM。研究考虑了五种不同的翅片设计:单矩形、双矩形、双三角形、双角和金属丝网。值得注意的是,所有这些翅片设计都具有相同的传热面积。为确定最佳翅片配置,对六个参数进行了评估:熔化时间、增强比(ER)、节省时间、储存能量、平均功率和努塞尔特数。结果表明,与模型 1(无翅片配置)相比,所有翅片设计的性能均优于模型 1。在翅片配置中,模型 2 的性能最差,需要 1314 秒才能完成熔化,而模型 6 的翅片设计效率最高,熔化时间比模型 1 缩短了 67.53%。模型 6 的 ER 值和平均功率也最高,分别为 70.43% 和 199.51%,而且随着熔化过程的继续,努塞尔特数也在下降。除此之外,我们还利用 RSM 方法优化了金属丝网翅片设计的元素尺寸。这种优化设计使熔化周期缩短了 70.04%。总之,本研究对不同翅片配置进行了全面分析,以改善方形外壳中 PCM 的熔化性能,其中金属丝网翅片设计显示出最有前途的结果。
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引用次数: 0
Non-Isothermal Plane Couette Flow and Its Stability in an Anisotropic and Inhomogeneous Porous Layer Underlying a Fluid Layer Saturated by Water 水饱和流体层下各向异性非均质多孔层中的非等温平面库尔特流及其稳定性
Pub Date : 2024-02-13 DOI: 10.1115/1.4064736
Nandita Barman, Anjali Aleria, Premananda Bera
In this article, the linear stability of non-isothermal plane Couette flow (NPCF) in an anisotropic and inhomogeneous porous layer underlying a fluid layer is investigated. The Darcy model is utilized to describe the flow in the porous layer. The stability analysis indicates that the introduction of media-anisotropy (K∧ *) and media-inhomogeneity (in terms of inhomogeneity parameter, A) still renders the isothermal plane Couette flow (IPCF) in such superposed fluid-porous systems unconditionally stable. For NPCF, three different modes: unimodal (porous or fluid mode), bimodal (porous and fluid mode) and trimodal (porous, fluid and porous mode), are observed along the neutral stability curves, and characterized by the secondary flow patterns. It has been found that the instability of the fluid-porous system increases on increasing the media permeability and inhomogeneity along the vertical direction. Contrary to natural convection, at d ∧ = 0.2 (d ∧ = depth of fluid layer/depth of porous layer) and K∧ * = 1, in which the critical wavelength shows both increasing and decreasing characteristic with increasing values of A (0 = A = 5), here in the present study, the same continuously decreases with increasing values of A. Finally, scale analysis indicates that the onset of natural convection requires a relatively higher temperature difference (ΔT) between lower and upper plates in the presence of Couette flow. However, by including media anisotropy and inhomogeneity in the porous media, the system becomes unstable even for a small critical temperature difference of about 2°C.
本文研究了流体层下各向异性非均质多孔层中的非等温平面库尔特流(NPCF)的线性稳定性。采用达西模型来描述多孔层中的流动。稳定性分析表明,引入介质各向异性(K∧*)和介质非均质性(非均质参数 A)仍能使等温平面库尔特流(IPCF)在这种叠加的流体-多孔系统中无条件稳定。对于 NPCF,沿着中性稳定曲线可以观察到三种不同的模式:单模态(多孔或流体模式)、双模态(多孔和流体模式)和三模态(多孔、流体和多孔模式),并以次级流动模式为特征。研究发现,流体-多孔系统的不稳定性随着介质渗透率和垂直方向不均匀性的增加而增加。与自然对流相反,在 d ∧ = 0.2(d ∧ = 流体层深度/多孔层深度)和 K∧ * = 1 时,临界波长随着 A 值(0 = A = 5)的增大而显示出增大和减小的特征,而在本研究中,临界波长同样随着 A 值的增大而持续减小。最后,尺度分析表明,在存在库尔特气流的情况下,自然对流的发生需要下板和上板之间相对较高的温度差(ΔT)。然而,由于多孔介质中存在介质各向异性和不均匀性,即使临界温差很小(约 2°C),系统也会变得不稳定。
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引用次数: 0
Non-Isothermal Plane Couette Flow and Its Stability in an Anisotropic and Inhomogeneous Porous Layer Underlying a Fluid Layer Saturated by Water 水饱和流体层下各向异性非均质多孔层中的非等温平面库尔特流及其稳定性
Pub Date : 2024-02-13 DOI: 10.1115/1.4064736
Nandita Barman, Anjali Aleria, Premananda Bera
In this article, the linear stability of non-isothermal plane Couette flow (NPCF) in an anisotropic and inhomogeneous porous layer underlying a fluid layer is investigated. The Darcy model is utilized to describe the flow in the porous layer. The stability analysis indicates that the introduction of media-anisotropy (K∧ *) and media-inhomogeneity (in terms of inhomogeneity parameter, A) still renders the isothermal plane Couette flow (IPCF) in such superposed fluid-porous systems unconditionally stable. For NPCF, three different modes: unimodal (porous or fluid mode), bimodal (porous and fluid mode) and trimodal (porous, fluid and porous mode), are observed along the neutral stability curves, and characterized by the secondary flow patterns. It has been found that the instability of the fluid-porous system increases on increasing the media permeability and inhomogeneity along the vertical direction. Contrary to natural convection, at d ∧ = 0.2 (d ∧ = depth of fluid layer/depth of porous layer) and K∧ * = 1, in which the critical wavelength shows both increasing and decreasing characteristic with increasing values of A (0 = A = 5), here in the present study, the same continuously decreases with increasing values of A. Finally, scale analysis indicates that the onset of natural convection requires a relatively higher temperature difference (ΔT) between lower and upper plates in the presence of Couette flow. However, by including media anisotropy and inhomogeneity in the porous media, the system becomes unstable even for a small critical temperature difference of about 2°C.
本文研究了流体层下各向异性非均质多孔层中的非等温平面库尔特流(NPCF)的线性稳定性。采用达西模型来描述多孔层中的流动。稳定性分析表明,引入介质各向异性(K∧*)和介质非均质性(非均质参数 A)仍能使等温平面库尔特流(IPCF)在这种叠加的流体-多孔系统中无条件稳定。对于 NPCF,沿着中性稳定曲线可以观察到三种不同的模式:单模态(多孔或流体模式)、双模态(多孔和流体模式)和三模态(多孔、流体和多孔模式),并以次级流动模式为特征。研究发现,流体-多孔系统的不稳定性随着介质渗透率和垂直方向不均匀性的增加而增加。与自然对流相反,在 d ∧ = 0.2(d ∧ = 流体层深度/多孔层深度)和 K∧ * = 1 时,临界波长随着 A 值(0 = A = 5)的增大而显示出增大和减小的特征,而在本研究中,临界波长同样随着 A 值的增大而持续减小。最后,尺度分析表明,在存在库尔特气流的情况下,自然对流的发生需要下板和上板之间相对较高的温度差(ΔT)。然而,由于多孔介质中存在介质各向异性和不均匀性,即使临界温差很小(约 2°C),系统也会变得不稳定。
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引用次数: 0
Investigation of Heat Source Layout Optimization by Using Deep Learning Surrogate Models 利用深度学习代用模型进行热源布局优化的研究
Pub Date : 2024-02-13 DOI: 10.1115/1.4064733
Ji Lang, Qianqian Wang, Shan Tong
The optimization of heat source layout (HSLO) is able to facilitate superior heat dissipation, thereby addressing the complexities associated with thermal management. However, HSLO is characterized by numerous degrees of freedom and complex interrelations between components. Conventional optimization methodologies often exhibit limitations such as high computational demands and diminished efficiency, particularly with large-scale predicaments. This study introduces the application of deep learning surrogate models grounded in backpropagation neural (BP) networks to optimize heat source layouts. These models afford rapid and precise evaluations, diminishing computational loads and enhancing the efficiency of HSLO. The suggested framework integrates coarse and fine search modules to traverse the layout space and pinpoint optimal configurations competently. Parametric examinations are taken to explore the impact of refinement grades and conductive ratios, which dominates the optimization problem. The pattern changes of the conductive channel have been presented. Moreover, the critical conductive ratio has been found, below which the conductive material can not contribute to heat dissipation. The outcomes elucidate the fundamental processes of HSLO, providing valuable insights for pioneering thermal management strategies.
热源布局(HSLO)的优化能够促进良好的散热,从而解决与热管理相关的复杂问题。然而,HSLO 的特点是自由度大,组件之间的相互关系复杂。传统的优化方法往往表现出局限性,如计算要求高、效率低,尤其是在处理大规模困境时。本研究介绍了以反向传播神经(BP)网络为基础的深度学习替代模型在优化热源布局中的应用。这些模型可提供快速、精确的评估,减少计算负荷,提高 HSLO 的效率。所建议的框架集成了粗略和精细搜索模块,以遍历布局空间并准确定位最佳配置。对优化问题中占主导地位的细化等级和导电率的影响进行了参数检验。介绍了导电通道的模式变化。此外,还找到了临界导电率,低于该临界导电率,导电材料将无法促进散热。这些成果阐明了 HSLO 的基本过程,为开创热管理策略提供了宝贵的见解。
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引用次数: 0
Heat Flux Characterization From a Band Heater to Pipe Using Inverse Heat Conduction Problem Method 利用反热传导问题法确定从带状加热器到管道的热流特性
Pub Date : 2024-02-13 DOI: 10.1115/1.4064731
Ramon Peruchi Pacheco da Silva, K. Woodbury, F. Samadi, Joseph Carpenter
An experimental apparatus was constructed to correlate water flow rate and temperature rise under an external band heater. Due to the physical characteristics of the band heater, its transient heating behavior is unknown. This paper investigates the application of Inverse Heat Conduction Problem (IHCP) methods to characterize the heat flux from the band heater. Three experiments with different heating times (5, 10, and 20 seconds) and no flow rate were conducted to measure the transient temperature under the 400 W band heater. Type-T thermocouples measure surface temperature at the centerline of the band heater. The experimental results are computed with five different heat conduction models. The models are chosen to identify how the heat flux response varies from a simplified to a realistic model. Additionally, the results of the experimental heat flux are compared to the manufacturer band heater data (58.9 kW/m2) for each model. The minimum time needed for the heater to fully energize the system is from 10 to 12 seconds. The residuals for each model are analyzed and used to evaluate the appropriateness of the five different models. The results show that the use of simpler models can achieve results similar to those of complex models, with less time and computational cost.
我们建造了一个实验装置,用于关联外部带状加热器下的水流量和温升。由于带状加热器的物理特性,其瞬态加热行为尚不清楚。本文研究了逆热传导问题 (IHCP) 方法的应用,以确定来自带状加热器的热通量的特征。进行了三次不同加热时间(5 秒、10 秒和 20 秒)和无流速的实验,以测量 400 W 带状加热器下的瞬态温度。T 型热电偶测量带状加热器中心线的表面温度。实验结果通过五种不同的热传导模型计算得出。选择这些模型是为了确定从简化模型到现实模型的热通量响应是如何变化的。此外,每个模型的实验热通量结果都与制造商提供的带状加热器数据(58.9 kW/m2)进行了比较。加热器完全启动系统所需的最短时间为 10 至 12 秒。对每个模型的残差进行了分析,并用于评估五个不同模型的适当性。结果表明,使用较简单的模型可以获得与复杂模型类似的结果,而且时间和计算成本更低。
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引用次数: 0
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ASME journal of heat and mass transfer
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