Lagrangian and Hamiltonian Forms and Their Applications to the Analysis of Heat Conduction

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概要

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• Starting from a substantial model of heat conduction, we obtained Lagrangian and Hamiltonian forms in heat conduction, in which the degree of non-equilibrium played an essential role. Next, we explained a general method of analysis and clarified the structure in phase space. Then we applied these techniques to rather difficult problems of heat conduction in solids, demonstrating that they can thus be solved.

• 一般社団法人日本機械学会の論文

著者

• Kawashimo Kensuke

  Shibaura Institute Of Technology

• MORIKAWA Kichiro

  Aoyama-Gakuin University

関連論文

• The Green Function of the Cylindrical Body in Conduction of Heat and Temperature Distribution of the Cylindrical Body Heated by Moving Heat Source
• A Mathematical Analysis of Non-linear Unsteady Heat Conduction : 1st Report, General Fundamental Idea
• Irreversible Thermodynamical Structure of Heat Conduction
• Lagrangian and Hamiltonian Forms and Their Applications to the Analysis of Heat Conduction
• Analysis of Heat Condition Fields with Moving Boundary

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