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工程中的混合方法

每年出版 4 

ISSN 打印: 1099-2391

ISSN 在线: 2641-7359

ERROR ANALYSIS OF MIXED LUMPED-DIFFERENTIAL FORMULATIONS IN DIFFUSION PROBLEMS

卷 2, 册 4, 2000, 28 pages
DOI: 10.1615/HybMethEng.v2.i4.40
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摘要

Mixed lumped-differential formulations for diffusion problems are formally analyzed, with particular emphasis on heat transfer applications The main interest in these formulations resides in the task of modeling problems, prior to the choice of solution strategies, trying to reduce, as much as possible, and within prescribed accuracy requirements, the number of dimensions of any particular partial differential problem. This article illustrates appropriate integration strategies developed within a symbolic computation environment, which are employed to deduce mathematical formulations of comparable simplicity and improved accuracy in comparison with the classical well—established lumping procedures. Besides, approximate error expressions, based on the known boundary and/or initial conditions of the solutions, are readily obtained, for both steady and transient states formulations.

对本文的引用
  1. de Barros L. S., Sphaier L. A., Improved lumped analysis of Graetz problems with axial diffusion, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 41, 12, 2019. Crossref

  2. Costa J. M., Pontes P. C., Naveira-Cotta C. P., Tiwari M. K., Balabani S., Cotta R. M., Hybrid Approach in Microscale Transport Phenomena: Application to Biodiesel Synthesis in Micro-reactors, in Innovations in Sustainable Energy and Cleaner Environment, 2020. Crossref

  3. Sphaier Leandro A., Su Jian, Cotta Renato M., Macroscopic Heat Conduction Formulation, in Handbook of Thermal Science and Engineering, 2017. Crossref

  4. de Sousa Ivana Fernandes, Naveira Cotta Carolina Palma, Cordeiro Guerrieri Daduí, Tiwari Manish K., On the Thermal Performance of a Microparallel Channels Heat Exchanger, Journal of Thermal Science and Engineering Applications, 11, 2, 2019. Crossref

  5. Cotta Renato M., Lisboa Kleber M., Naveira-Cotta Carolina Palma, Zotin José Luiz Z., ANALYTICAL-COMPUTATIONAL METHODS IN ENERGY EFFICIENCY AND SUSTAINABLE ENERGIES , Proceeding of Proceedings of CONV-22: Int. Symp. on Convective Heat and Mass Transfer June 5 – 10, 2022, Turkey, 2022. Crossref

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