Transient inverse heat conduction problem of quenching a hollow cylinder by one row of water jets

Jahedi, Mohammad; Berntsson, Fredrik; Wren, Joakim; Moshfegh, Bahram

doi:10.1016/j.ijheatmasstransfer.2017.10.048

Cited by 28 publications

(15 citation statements)

References 15 publications

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“…One way to overcome this problem is to apply an inverse solution technique to determine the surface temperature and heat flux. In this study, the generalized minimal residual method (GMRES) [21] developed by Jahedi, et al [15] for application of quenching rotary hollow cylinder by water impinging jets was used. In this inverse problem technique, recorded interior temperature data of cylinder at two different depths from quenching surface (line 1 and 2 ) is applied as input into the GMRES method to predict surface temperature and heat flux at line 3 , see Fig.…”

Section: Data Reductionmentioning

confidence: 99%

“…The surface experiences cooling under the wetted and wetting front regions and then enters a dry zone where temperature recovery occurs due to internal conduction heat transfer inside material until the surface approaches the wetted and wetting front region in the next revolution cycle. This characteristic leads to cyclic fluctuation of heat flux depending on rotation speed of cylinder and its footprint is found in the boiling curve [14,15]. The similarity between growth of wetted region and wetting front over rotary cylinder and moving flat surface is the hydraulic jump on one side and stretched wetted and wetting front regions in the moving direction [16,17].…”

Section: Introductionmentioning

confidence: 99%

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Quenching Hot Rotary Hollow Cylinder by 1-row and 2-row Water Impinging Jet Array

Jahedi¹,

Moshfegh²

2021

JFFHMT

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Experimental study has been carried out to investigate transient quenching of rotary hollow cylinder by subcooled water impinging jets (∆ = 55-85K) in 1-row and 2-row inline array. The flow rate of water jets varied from 2.7 to 10.9 L/min, impinging on hot rotary cylinder (=600℃) with rotation speed 10-50 rpm and different curvature ratio (/d = 12, 19 and 24). The local average and maximum boiling heat transfer at water jet's stagnation point revealed effect of studied quenching parameters and multiple jet arrays in the boiling heat transfer. The result showed among the studied parameters, jet's flow rate and curvature ratio influenced heat transfer in all the boiling regimes. Rotation speed was effective in film and transition boiling regime and strong effect of subcooling was captured in the transition boiling regime. The characteristics of maximum heat flux point in the boiling curve were found to be dependent on the studied quenching parameters as well as array of nozzles. Multiple jet arrays had effect on the spatial variation and rate of boiling heat transfer on quenching surface. The heat transfer enhancement by larger number of rows, i.e. 2row array, was studied based on two approaches of constant single jet's flow rate and array's total flow rate. The result shown better heat transfer performance is achieved by increasing number of row in the array while the total flow rate is constant. It was found that by impinging constant water flow rate into the jets, 2-row array with twice the number of impinging jets enhanced heat transfer significantly in film and transition boiling regime in combination with other quenching parameters.

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Section: Data Reductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Quenching Hot Rotary Hollow Cylinder by 1-row and 2-row Water Impinging Jet Array

Jahedi¹,

Moshfegh²

2021

JFFHMT

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“…[17~20] 、热物性识别传热反问题 [21~23] 、初始条件识别传热反问题 [24,25] 或者热源识别传热反问题 [26~31] 等. 长期以来, 传热反问题求解的主要困难是其在数学上的不适定性 [32] , 即数据的微小变化会导致目作为传热反问题的一种, 热传导反问题在钢淬火 [33] 、再加热炉 [34] 、熔融物料反应器 [8] 、激光表面加热 [ 3 5~3 7 ] 、池沸腾 [ 3 8 ] 、降膜工艺 [ 3 9 ] 、盘式制动系统 [40,41] 、机械加工 [42] 、微波加热 [43] 、膨胀型涂料 [44] 等不同领域具有广泛的工业应用. Tikhonov正则化 [45,46] 、空间推进法 [47~50] 、函数规范法 [51] 、迭代正则化方法 [52] 或基于最大似然估计 [53] 的贝叶斯推理方法 [54] 等已被广泛研究并应用于求解此类问题.…”

Section: 识别传热反问题unclassified

Three-dimensional transient inverse heat conduction problems in the enhanced pool boiling heat transfer

et al. 2019

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“…In many industrial applications one wishes to determine the temperature, or heat-flux, on the surface of a body. Often it is the case that the surface itself inaccessible for measurements [1][2][3][4][5][6][7]. In such cases one can instead measure the temperature at a location in the interior of the body and compute the surface temperature by solving an ill-posed boundary value problem for the heat equation.…”

Section: Introductionmentioning

confidence: 99%

“…which occur in applications since the thermal properties of most materials are dependent on the temperature. For such problems one cannot use methods based on reformulating the problem as a linear operator equation [4,8,9]. Instead, we solve the problem, essentially, as an initial value problem in the space variable [10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Solving a Cauchy problem for the heat equation using cubic smoothing splines

Nanfuka

Berntsson

Kakuba

2021

Applicable Analysis

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The Cauchy problem for the heat equation is a model of situation where one seeks to compute the temperature, or heat-flux, at the surface of a body by using interior measurements. The problem is well-known to be ill-posed, in the sense that measurement errors can be magnified and destroy the solution, and thus regularization is needed. In previous work it has been found that a method based on approximating the time derivative by a Fourier series works well [Berntsson F. A spectral method for solving the sideways heat equation. Inverse Probl. 1999;15:891-906; Eldén L, Berntsson F, Regińska T. Wavelet and Fourier methods for solving the sideways heat equation. SIAM J Sci Comput. 2000;21(6):2187-2205]. However, in our situation it is not resonable to assume that the temperature is periodic which means that additional techniques are needed to reduce the errors introduced by implicitly making the assumption that the solution is periodic in time. Thus, as an alternative approach, we instead approximate the time derivative by using a cubic smoothing spline. This means avoiding a periodicity assumption which leads to slightly smaller errors at the end points of the measurement interval. The spline method is also shown to satisfy similar stability estimates as the Fourier series method. Numerical simulations shows that both methods work well, and provide comparable accuracy, and also that the spline method gives slightly better results at the ends of the measurement interval.

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Transient inverse heat conduction problem of quenching a hollow cylinder by one row of water jets

Cited by 28 publications

References 15 publications

Quenching Hot Rotary Hollow Cylinder by 1-row and 2-row Water Impinging Jet Array

Quenching Hot Rotary Hollow Cylinder by 1-row and 2-row Water Impinging Jet Array

Three-dimensional transient inverse heat conduction problems in the enhanced pool boiling heat transfer

Solving a Cauchy problem for the heat equation using cubic smoothing splines

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