IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i2p438-d1035414.html
   My bibliography  Save this article

Backpropagated Neural Network Modeling for the Non-Fourier Thermal Analysis of a Moving Plate

Author

Listed:
  • R. S. Varun Kumar

    (Department of Studies in Mathematics, Davangere University, Davangere 577002, Karnataka, India)

  • M. D. Alsulami

    (Department of Mathematics, College of Sciences and Arts at Alkamil, University of Jeddah, Jeddah 23218, Saudi Arabia)

  • I. E. Sarris

    (Department of Mechanical Engineering, University of West Attica, 12244 Athens, Greece)

  • B. C. Prasannakumara

    (Department of Studies in Mathematics, Davangere University, Davangere 577002, Karnataka, India)

  • Saurabh Rana

    (Department of Mathematics, University Centre for Research & Development, Chandigarh University, Mohali 140413, Punjab, India)

Abstract

The present article mainly focuses on the transient thermal dispersal within a moving plate using the non-Fourier heat flux model. Furthermore, the innovative, sophisticated artificial neural network strategy with the Levenberg-Marquardt backpropagated scheme (ANNS-LMBS) is proposed for determining the transient temperature in the convective-radiative plate. Using dimensionless terms, the energy model for transient heat exchange is simplified into a non-dimensional form. The arising partial differential equation (PDE) is then numerically tackled using the finite difference method (FDM). A data set for the various scenarios of the thermal parameters influencing the thermal variation through the plate has been generated using the FDM. In addition, the effect of the dimensionless physical variables on the thermal profile of a moving plate has been examined and discussed in detail. Increments in the convection-conduction and radiation-conduction parameters are figured to yield a reduction in the transient thermal dispersion. An upsurge in the Peclet number caused the improvement of thermal dispersal in the plate.

Suggested Citation

  • R. S. Varun Kumar & M. D. Alsulami & I. E. Sarris & B. C. Prasannakumara & Saurabh Rana, 2023. "Backpropagated Neural Network Modeling for the Non-Fourier Thermal Analysis of a Moving Plate," Mathematics, MDPI, vol. 11(2), pages 1-32, January.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:2:p:438-:d:1035414
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/2/438/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/2/438/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Elahi, Ehsan & Zhang, Zhixin & Khalid, Zainab & Xu, Haiyun, 2022. "Application of an artificial neural network to optimise energy inputs: An energy- and cost-saving strategy for commercial poultry farms," Energy, Elsevier, vol. 244(PB).
    2. Zhu, Yuxiao & Newbrook, Daniel W. & Dai, Peng & de Groot, C.H. Kees & Huang, Ruomeng, 2022. "Artificial neural network enabled accurate geometrical design and optimisation of thermoelectric generator," Applied Energy, Elsevier, vol. 305(C).
    3. Mabood, F. & Shamshuddin, MD. & Mishra, S.R., 2022. "Characteristics of thermophoresis and Brownian motion on radiative reactive micropolar fluid flow towards continuously moving flat plate: HAM solution," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 191(C), pages 187-202.
    4. Hakeem Ullah & Imran Khan & Mehreen Fiza & Nawaf N. Hamadneh & M. Fayz-Al-Asad & Saeed Islam & Ilyas Khan & Muhammad Asif Zahoor Raja & Muhammad Shoaib, 2021. "MHD Boundary Layer Flow over a Stretching Sheet: A New Stochastic Method," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-26, September.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Peng, Benhong & Zhao, Yinyin & Elahi, Ehsan & Wan, Anxia, 2023. "Can third-party market cooperation solve the dilemma of emissions reduction? A case study of energy investment project conflict analysis in the context of carbon neutrality," Energy, Elsevier, vol. 264(C).
    2. Xuan, Zhiwei & Ge, Minghui & Zhao, Chenyang & Li, Yanzhe & Wang, Shixue & Zhao, Yulong, 2024. "Effect of nonuniform solar radiation on the performance of solar thermoelectric generators," Energy, Elsevier, vol. 290(C).
    3. Yan Zhao & Ehsan Elahi & Zainab Khalid & Xuegang Sun & Fang Sun, 2023. "Environmental, Social and Governance Performance: Analysis of CEO Power and Corporate Risk," Sustainability, MDPI, vol. 15(2), pages 1-18, January.
    4. Gang Li & Ehsan Elahi & Xingshuai Wang, 2023. "Population age structure, asset price, and financial stability," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 44(4), pages 2041-2056, June.
    5. Xu, Aoqi & Xie, Changjun & Xie, Liping & Zhu, Wenchao & Xiong, Binyu & Gooi, Hoay Beng, 2024. "Performance prediction and optimization of annular thermoelectric generators based on a comprehensive surrogate model," Energy, Elsevier, vol. 290(C).
    6. Min Zhu & Haiyun Tang & Ehsan Elahi & Zainab Khalid & Kaili Wang & Nimra Nisar, 2022. "Spatial-Temporal Changes and Influencing Factors of Ecological Protection Levels in the Middle and Lower Reaches of the Yellow River," Sustainability, MDPI, vol. 14(22), pages 1-16, November.
    7. Shengnan Huang & Ehsan Elahi, 2022. "Farmers’ Preferences for Recycling Pesticide Packaging Waste: An Implication of a Discrete Choice Experiment Method," Sustainability, MDPI, vol. 14(21), pages 1-13, October.
    8. Nandipamu, Tony Manoj Kumar & Chaturvedi, Sumit & Nayak, Prayasi & Dhyani, V.C. & Pachauri, S.P. & Shankhdhar, S.C. & Chandra, Subhash, 2025. "Energy-use audit and data envelopment analysis based optimization of tillage and residue management in rice-wheat system of Indo-Gangetic plains," Renewable Energy, Elsevier, vol. 238(C).
    9. Wei Sun & Pengfei Wen & Sijie Zhu & Pengcheng Zhai, 2024. "Geometrical Optimization of Segmented Thermoelectric Generators (TEGs) Based on Neural Network and Multi-Objective Genetic Algorithm," Energies, MDPI, vol. 17(9), pages 1-13, April.
    10. Haidong Yuan & Chin-Hong Puah & Josephine Tan-Hwang Yau, 2022. "How Does Population Aging Impact Household Financial Asset Investment?," Sustainability, MDPI, vol. 14(22), pages 1-14, November.
    11. Kaili Wang & Ehsan Elahi & Yuge Zhang & Di Wang & Zainab Khalid, 2022. "A Development of Green Finance and Regional Eco-Efficiency in China," Sustainability, MDPI, vol. 14(22), pages 1-18, November.
    12. Xiuli Cui & Ehsan Elahi & Zainab Khalid & Bo Xu, 2022. "Environmental Regulation, Manufacturing Technological Progress and Pollution Emissions: Empirical Evidence from China," Sustainability, MDPI, vol. 14(23), pages 1-19, December.
    13. Manman Wang & Shi Yin & Shuai Lian, 2022. "Collaborative elicitation process for sustainable manufacturing: A novel evolution model of green technology innovation path selection of manufacturing enterprises under environmental regulation," PLOS ONE, Public Library of Science, vol. 17(6), pages 1-26, June.
    14. Podlasek, Szymon & Jankowski, Marcin & Bałazy, Patryk & Lalik, Krzysztof & Figaj, Rafał, 2024. "Application of ANN control algorithm for optimizing performance of a hybrid ORC power plant," Energy, Elsevier, vol. 306(C).
    15. Wei Wang & Ehsan Elahi & Shiying Sun & Xiaoqing Tong & Zhaosen Zhang & Mohammad Ilyas Abro, 2023. "Factors Influencing Water Use Efficiency in Agriculture: A Case Study of Shaanxi, China," Sustainability, MDPI, vol. 15(3), pages 1-14, January.
    16. Mengyuan Cheng & Heap-Yih Chong & Yongshun Xu, 2024. "Blockchain-smart contracts for sustainable project performance: bibliometric and content analyses," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 26(4), pages 8159-8182, April.
    17. Lirong Xing & Xiaomiao Yin & Chuanxiang Cao & Ehsan Elahi & Taoyuan Wei, 2022. "The Impact of Multidimensional Distance on Agricultural Exports: Evidence from China Based on the Technological Added Value," Sustainability, MDPI, vol. 15(1), pages 1-17, December.
    18. Lingjun Guo & Yanran Liu, 2022. "Urban-Industrial Development and Regional Economic Growth in a Developing Country: A Spatial Econometric Approach," SAGE Open, , vol. 12(2), pages 21582440221, June.
    19. Fuzhen Gu & Xun Yu, 2022. "Profit distribution mechanism of agricultural supply chain based on fair entropy," PLOS ONE, Public Library of Science, vol. 17(7), pages 1-16, July.
    20. Mansour Jalali & Ahmad Banakar & Behfar Farzaneh & Mehdi Montazeri, 2023. "Reducing Energy Consumption in a Poultry Farm by Designing and Optimizing the Solar Heating/Photovoltaic System," Sustainability, MDPI, vol. 15(7), pages 1-33, March.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:11:y:2023:i:2:p:438-:d:1035414. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.