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2022 Fiscal Year Final Research Report

Establishment of a tracking method using moving curves of the combustion front and fire whirlwind

Research Project

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Project/Area Number 19H01807
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Review Section Basic Section 12040:Applied mathematics and statistics-related
Research InstitutionMeiji University

Principal Investigator

Yazaki Shigetoshi  明治大学, 理工学部, 専任教授 (00323874)

Co-Investigator(Kenkyū-buntansha) 桑名 一徳  東京理科大学, 理工学研究科国際火災科学専攻, 教授 (30447429)
Project Period (FY) 2019-04-01 – 2022-03-31
Keywords紙の燃焼 / 蔵本シバシンスキー方程式 / 界面現象 / 燃焼前線 / 防
Outline of Final Research Achievements

The research topic is encompassed within the framework of the discipline of interface tracking by direct methods, and the core of the research is the exploration of the science of specific phenomena unique to combustion. Combustion is a phenomenon in which microscopic chemical reactions are visualized on a macroscopic scale. Inquiring into the nature of combustion phenomena means answering the questions of how far the microscopic phenomena are reflected in the macroscopic model equations, whether the parameters in the model equations are appropriately chosen, and whether the model equations can be analyzed quantitatively and qualitatively. The following results were obtained: basic modeling research on combustion phenomena, mathematical research to track the behavior of solutions to model equations, image processing research using experimental data, and combustion modeling of bellows-folded paper.

Translated with www.DeepL.com/Translator (free version)

Free Research Field

界面現象の数理解析

Academic Significance and Societal Importance of the Research Achievements

燃焼現象を数学的に数理解析することにより,数学そのものが発展するのみならず,工学的,社会的にも意義のある研究となった.特に,防災に資する数学という観点からは,いままでにない試みと研究スタイルであったため,今後の継続的な研究発展が期待される.

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Published: 2024-01-30  

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