A Mathematical Analysis of Non-linear Unsteady Heat Conduction : 1st Report, General Fundamental Idea

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概要

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• In this paper, a new analytical method is presented for the boundary value problem of the non-linear unsteady heat conduction with temperature dependent thermal properties. Two non-equilibrium integral functions have been introduced: a function of the thermal conductivity Φ_1(φ) and a function of the heat capacity Φ_2(φ). By setting the integration intervals of these functions such as to satisfy the relation Φ_1(φ) = Φ_2(φ), the non-linear heat conduction equation could be linearized. This method is applicable to the cases such as linear, quadratic and exponential variations of the thermal conductivity and heat capacity.

• 一般社団法人日本機械学会の論文

著者

• Kawashimo Kensuke

  Tokyo Institute Of Technology

• NEMOTO Eizi

  Ibaraki College of Technology

• MORIKAWA Kichiro

  Aoyama-Gakuin University

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