定常衝撃波頭内温度分布の推定 : (第1報, 理論の構築)

概要

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Two methods (IT-a and IT-b methods) for estimating temperatures in steady wave fronts in a thermo-viscous material are established. To this end, two irreversible thermodynamic equations for the temperature in the wave front are derived under the fundamental assumption that the material in the wave front is approximately in an equilibrium state. In addition, heat transport is neglected in the IT-a method, while in the IT-b method, the work done by the thermal stress is offset by heat transport. The two equations are connected with the Hugoniot function and the Mie-Gruneisen equation, respectively. The efficacy of the two methods is examined qualitatively by three temperature distributions estimated qualitatively using three equations for entropy which include no assumption on heat transport, the assumption used in the IT-a method, and that in the IT-b method, respectively. These three distributions suggest that the temperatures are overestimated by the IT-a method, while the IT-b method is effective if the effect of viscosity is distinguished.
一般社団法人日本機械学会の論文
2000-09-25