|
|
|
Model predictive inverse method for recovering boundary conditions of two-dimensional ablation |
| Guang-Jun Wang(王广军)1,2, Ze-Hong Chen(陈泽弘)1, Guang-Xiang Zhang(章广祥)1, and Hong Chen(陈红)1,2,† |
| 1 School of Energy and Power Engineering, Chongqing University, Chongqing 400044, China; 2 Key Laboratory of Low-grade Energy Utilization Technologies and Systems, Ministry of Education, Chongqing University, Chongqing 400044, China |
|
|
|
|
Abstract A model predictive inverse method (MPIM) is presented to estimate the time-and space-dependent heat flux on the ablated boundary and the ablation velocity of the two-dimensional ablation system. For the method, first of all, the relationship between the heat flux and the temperatures of the measurement points inside the ablation material is established by the predictive model based on an influence relationship matrix. Meanwhile, the estimation task is formulated as an inverse heat transfer problem (IHTP) with consideration of ablation, which is described by an objective function of the temperatures at the measurement point. Then, the rolling optimization is used to solve the IHTP to online estimate the unknown heat flux on the ablated boundary. Furthermore, the movement law of the ablated boundary is reconstructed according to the estimation of the boundary heat flux. The effects of the temperature measurement errors, the number of future time steps, and the arrangement of the measurement points on the estimation results are analyzed in numerical experiments. On the basis of the numerical results, the effectiveness of the presented method is clarified.
|
Received: 08 August 2020
Revised: 29 September 2020
Accepted manuscript online: 20 October 2020
|
|
PACS:
|
02.30.Zz
|
(Inverse problems)
|
| |
44.10.+i
|
(Heat conduction)
|
| |
43.20.Ye
|
(Measurement methods and instrumentation)
|
| |
64.70.-p
|
(Specific phase transitions)
|
|
| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 51876010 and 51676019). |
|
Corresponding Authors:
†Corresponding author. E-mail: chenh@cqu.edu.cn
|
Cite this article:
Guang-Jun Wang(王广军), Ze-Hong Chen(陈泽弘), Guang-Xiang Zhang(章广祥), and Hong Chen(陈红) Model predictive inverse method for recovering boundary conditions of two-dimensional ablation 2021 Chin. Phys. B 30 030203
|
1 Candane S R, Balaji C and Venkateshan S P 2007 J. Heat Transfer 129 912
2 Tan C, Zhao L J, Chen M J, Cheng J, Yin Z Y, Liu Q, Yang H and Liao W 2020 Chin. Phys. B 29 054209
3 Ferraiuolo M and Manca O 2012 Int. J. Therm. Sci. 53 56
4 Iqbal T, Abrar M, Tahir M B, Seemab M, Majid A and Rafique S 2018 Chin. Phys. B 27 087401
5 Tsai D C and Hwang W S 2012 J. Cryst. Growth 343 45
6 Yan H, Yan J and Zhao G 2019 Chin. Phys. B 28 114401
7 Niu C Y, Qi H, Huang X, Ruan L M, Wang W, Run L M and Tan H P 2015 Chin. Phys. B 24 114401
8 Liu G N and Liu D 2018 Chin. Phys. B 27 054401
9 Zhang L H, Tai B L, Wang G J, Zhang K B, Sullivan S and Shih A J 2013 Med. Eng. Phys. 35 1391
10 Zhang L H, Tai B L, Wang A C and Shih A J 2013 CIRP Ann.-Manuf. Techn. 62 367
11 Cui K and Yang G W 2005 Chin. Phys. Lett. 22 2738
12 Wang Q H, Li Z H, Lai J C and He A Z 2007 Chin. Phys. Lett. 24 1076
13 Qin X 2018 Chin. Phys. B 27 100203
14 Beck J V, Blackwell B and Charles R ST Clair J1985 Inverse Heat Conduction: Ill-Posed Problems (New York: John Wiley and Sons)
15 Ozisik M N and Orlande H R B2000 Inverse heat transfer (New York: Taylor & Francis)
16 Niu C Y, Qi H, Ren Y T and Ruan L M 2016 Chin. Phys. B 25 047801
17 Sun S C 2021 Int. J. Therm. Sci. 163 106853
18 Chen Z J and Zhang S Y 2010 Chin. Phys. Lett. 27 026502
19 He Z Z, Liang D, Mao J K and Han X S 2018 Chin. Phys. B 27 059101
20 Wang K, Wang G J, Chen H and Zhu L N 2014 Appl. Therm. Eng. 66 309
21 Qiao Y B, Qi H, Zhao F Z and Ruan L M 2016 Chin. Phys. B 25 120201
22 Wang Y and Zhao X F 2019 Chin. Phys. B 28 104301
23 Vakili S and Gadala M S 2009 Heat Transfer, Part B: Fund. 56 119
24 Sun S C, Wang G J, Chen H and Zhang D Q 2019 Int. J. Heat Mass Transfer 134 574
25 Tapaswini S, Chakraverty S and Behera D 2015 Chin. Phys. B 24 050203
26 Sun S C, Wang G J and Chen H 2020 Chin. Phys. B in press
27 de Oliveira A P and Orlande H R B 2002 Inverse Problems in Engineering Mechanics III, 2002, Nagano, Japan, p. 39
28 Molavi H, Hakkaki-Fard A, Molavi M, Rahmani R K, Ayasoufi A and Noori S 2011 Int. J. Heat Mass Transfer 54 1030
29 Mohammadiun M, Molavi H, Bahrami H R T and Mohammadiun H 2013 Heat Transfer Eng. 35 933
30 Farzan H, Loulou T and Sarvari S M H 2017 J. Mech. Sci. Technol. 31 3969
31 Cross P G and Boyd I D 2017 J. Spacecraft Rockets 54 212
32 Wang G J, Lv C, Chen H, Wan S B and Zhang D Q 2018 Int. J. Heat Mass Transfer 118 847
33 Li Y H, Wang G J and Chen H 2015 Appl. Therm. Eng. 80 396
34 Li Y H, Wang G J and Chen H 2015 Int. J. Therm. Sci. 88 148
35 Petrushevsky V and Cohen S 1999 J. Heat Transfer 121 708
36 Katte S S, Das S K and Venkateshan S P 2000 J. Thermophys. Heat Transfer 14 548
37 Hunter L W, Perini L L, Conn D W and Brenza P T 1986 J. Spacecraft Rockets 23 487
38 Blom F J 2000 Int. J. Numer. Meth. Fl. 32 647
39 Bottasso C L, Detomi D and Serra R 2005 Comput. Method. Appl. M. 194 4244
40 Camacho E F and Bordons C2007 Model Predictive Control(London: Springer-Verlag)
41 Hafid M and Lacroix M 2017 Appl. Therm. Eng. 110 265
42 Woodbury K A and Thakur S K 1996 Inverse Probl. Sci. En. 2 319 |
| No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|
