Citation: Yu Min Han, Zhi Li, Jiu Li Luo. Temperature waves in chemical reaction-diffusion-heat conduction systems with two ends respectively subject to Dirichlet and no-flux conditions[J]. Chinese Chemical Letters, ;2007, 18(11): 1427-1430. doi: 10.1016/j.cclet.2007.09.021 shu

Temperature waves in chemical reaction-diffusion-heat conduction systems with two ends respectively subject to Dirichlet and no-flux conditions

Institute of Chemical Physics, College of Chemistry, Sichuan University, Chengdu 610064, China

Received Date: 8 May 2007

Fund Project: The work is supported by the Doctoral Program Foundation of Ministry of Education of China (No.20050610012).

Taking the Lindemann model as a sample system in which there exist chemical reactions, diffusion and heat conduction, we found the theoretical framework of linear stability analysis for a unidimensional nonhomogeneous two-variable system with one end subject to Dirichlet conditions, while the other end no-flux conditions. Furthermore, the conditions for the emergence of temperature waves are found out by the linear stabiliy analysis and verified by a diagram for successive steps of evolution of spatial profile of temperature during a period that is plotted by numerical simulations on a computer. Without doubt, these results are in favor of the heat balance in chemical reactor designs.
- Temperature waves,
- Lindemann model,
- Chemical reaction-diffusion-heat conduction
1. [1]
  Chen Chen , Jinzhou Zheng , Chaoqin Chu , Qinkun Xiao , Chaozheng He , Xi Fu . An effective method for generating crystal structures based on the variational autoencoder and the diffusion model. Chinese Chemical Letters, 2025, 36(4): 109739-. doi: 10.1016/j.cclet.2024.109739
2. [2]
  Zhenguo Zhang , Lanyang Li , Xinlong Zong , Yongheng Lv , Shuanglei Liu , Liang Ji , Xuefei Zhao , Zhenhua Jia , Teck-Peng Loh . "Water" accelerated B(C₆F₅)₃-catalyzed Mukaiyama-aldol reaction: Outer-sphere activation model. Chinese Chemical Letters, 2025, 36(7): 110504-. doi: 10.1016/j.cclet.2024.110504
3. [3]
  Kun Zhang , Ni Dan , Dan-Dan Ren , Ruo-Yu Zhang , Xiaoyan Lu , Ya-Pan Wu , Li-Lei Zhang , Hong-Ru Fu , Dong-Sheng Li . A small D-A molecule with highly heat-resisting room temperature phosphorescence for white emission and anti-counterfeiting. Chinese Journal of Structural Chemistry, 2024, 43(3): 100244-100244. doi: 10.1016/j.cjsc.2024.100244
4. [4]
  Shuai Zhu , Mingjie Chen , Haichao Shen , Hanming Ding , Wenbo Li , Junliang Zhang . Palladium/Xu-Phos-catalyzed enantioselective arylalkoxylation reaction of γ-hydroxyalkenes at room temperature. Chinese Chemical Letters, 2024, 35(11): 109879-. doi: 10.1016/j.cclet.2024.109879
5. [5]
  Bingwei Wang , Yihong Ding , Xiao Tian . Benchmarking model chemistry composite calculations for vertical ionization potential of molecular systems. Chinese Chemical Letters, 2025, 36(2): 109721-. doi: 10.1016/j.cclet.2024.109721
6. [6]
  Xiaoli Zhong , Liangsheng Chen , Hao Xu , Tianhang Jiang , Zhengyi Hua , Fancheng Tan , Xiaoya Mao , Ziquan Fan , Zhiwei Li , Jun Zeng , Shu-Hai Lin . Development of a comprehensive computational pipeline for cardiolipin atlas in an intermittent fasting model. Chinese Chemical Letters, 2025, 36(12): 111027-. doi: 10.1016/j.cclet.2025.111027
7. [7]
  Yifan LIU , Zhan ZHANG , Rongmei ZHU , Ziming QIU , Huan PANG . A three-dimensional flower-like Cu-based composite and its low-temperature calcination derivatives for efficient oxygen evolution reaction. Chinese Journal of Inorganic Chemistry, 2024, 40(5): 979-990. doi: 10.11862/CJIC.20240008
8. [8]
  Peng Wang , Guanyu Zhao , Yicai Pan , Yujing Li , Chenxi Fu , Shipeng Sun , Junqi Gai , Jinping Mu , Xue Bai , Xiaohui Li , Jinfeng Sun , Xiaodong Shi , Rui He . Dual-salt electrolyte strategy enables stable interface reaction and high-performance lithium-ion batteries at low temperature. Chinese Chemical Letters, 2025, 36(11): 111190-. doi: 10.1016/j.cclet.2025.111190
9. [9]
  Yu-Yao Li , Xiao-Hui Li , Zhi-Xuan An , Yang Chu , Xiu-Li Wang . Room-temperature olefin epoxidation reaction by two 2D cobalt metal-organic complexes under O₂ atmosphere: Coordination and structural regulation. Chinese Chemical Letters, 2025, 36(4): 109716-. doi: 10.1016/j.cclet.2024.109716
10. [10]
  Lu Dai , Yuxin Ren , Shuang Li , Meidi Wang , Chentao Hu , Ya-Pan Wu , Guangtong Hai , Dong-Sheng Li . Room-temperature synthesis of Co(OH)₂/Mo₂TiC₂T_x hetero-nanosheets with interfacial coupling for enhanced oxygen evolution reaction. Chinese Chemical Letters, 2025, 36(4): 109774-. doi: 10.1016/j.cclet.2024.109774
11. [11]
  Tiantian Long , Hongmei Luo , Jingbo Sun , Fengniu Lu , Yi Chen , Dong Xu , Zhiqin Yuan . Carbonization-engineered ultrafast chemical reaction on nanointerface. Chinese Chemical Letters, 2025, 36(3): 109728-. doi: 10.1016/j.cclet.2024.109728
12. [12]
  Tao Wei , Jiahao Lu , Pan Zhang , Qi Zhang , Guang Yang , Ruizhi Yang , Daifen Chen , Qian Wang , Yongfu Tang . An intermittent lithium deposition model based on bimetallic MOFs derivatives for dendrite-free lithium anode with ultrahigh areal capacity. Chinese Chemical Letters, 2024, 35(8): 109122-. doi: 10.1016/j.cclet.2023.109122
13. [13]
  Jun-Yang Wang , Yu-Qing Wei , Qing-Ning Wang , Zhi-Guo Wang , Rui Hong , Lisha Yi , Ping Xu , Jia-Zhuang Xu , Zhong-Ming Li , Baisong Zhao . Mucus-inspired lubricative antibacterial coating to reduce airway complications in an intubation cynomolgus monkey model. Chinese Chemical Letters, 2025, 36(8): 110559-. doi: 10.1016/j.cclet.2024.110559
14. [14]
  Han-Bin Liu , Xiaoyu Cheng , Zhou Guo , Juan Yang , Fuwen Tan , Donghui Lan , Jian-Ping Tan , Bing Yi , Weixin Zhai , Qing-Hui Guo . CrownBind-IA: A machine learning model predicting binding constants between crown ethers and alkali metal ions. Chinese Chemical Letters, 2025, 36(12): 111149-. doi: 10.1016/j.cclet.2025.111149
15. [15]
  Baolei Li , Da Wang , Miao Yu , Chaozheng He , Xue Li , Jing Zhai , Mdmahadi Hasan , Chenxu Zhao , Min Wang , Dingcai Shen . Accelerating multi-objective catalytic material design: A model-based method. Chinese Chemical Letters, 2025, 36(12): 110454-. doi: 10.1016/j.cclet.2024.110454
16. [16]
  Xianxu Chu , Lu Wang , Junru Li , Hui Xu . Surface chemical microenvironment engineering of catalysts by organic molecules for boosting electrocatalytic reaction. Chinese Chemical Letters, 2024, 35(8): 109105-. doi: 10.1016/j.cclet.2023.109105
17. [17]
  Hongen Cao , Xinrui Xiao , Xu Zhang , Yiyang Zhang , Lei Yu . Element Transfer Reaction theory: Scientific connotation and its applications in chemical industry. Chinese Chemical Letters, 2025, 36(9): 110924-. doi: 10.1016/j.cclet.2025.110924
18. [18]
  Xi Xue , Kai Chen , Hanyu Sun , Xiangying Liu , Xue Liu , Shize Li , Jingjie Yan , Yu Peng , Mohammad S. Mubarak , Ahmed Al-Harrasi , Hai-Yu Hu , Yafeng Deng , Xiandao Pan , Xiaojian Wang . Bidirectional Chemical Intelligent Net: A unified deep learning–based framework for predicting chemical reaction. Chinese Chemical Letters, 2025, 36(11): 110968-. doi: 10.1016/j.cclet.2025.110968
19. [19]
  Dian-Xue Ma , Yu-Wu Zhong . Achieving highly-efficient room-temperature phosphorescence with a nylon matrix. Chinese Journal of Structural Chemistry, 2024, 43(9): 100391-100391. doi: 10.1016/j.cjsc.2024.100391
20. [20]
  Ping Liu , Fei Yu . Covalent organic framework ionomers for medium-temperature fuel cells. Chinese Journal of Structural Chemistry, 2025, 44(4): 100465-100465. doi: 10.1016/j.cjsc.2024.100465

Get Citation

PDF

XML

Metrics

PDF Downloads(0)
Abstract views(994)
HTML views(37)

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Address：Zhongguancun North First Street 2,100190 Beijing, PR China Tel: +86-010-82449177-888

DownLoad: Full-Size Img PowerPoint

Return