Characteristiccurvemethodforanalyzingmovementofflyerplate basedonuniversalequationofstateofexplosive
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摘要: 从小扰动波(马赫波)的物理概念出发,导出了不依赖流体状态方程表达形式的平面二维超声速定 常流的特征线方程;重新定义了以流体密度为单自变量的Prantl-Meyer函数,形成了求解平面二维超声速定 常流的封闭方程组。还利用这种通用物态方程的特征线差分解法,针对滑移爆轰驱动飞板运动问题构建了爆 轰产物流场内部和飞板边界特征线差分法格式。对TNT炸药和乳化炸药采用JWL状态方程和多方方程进 行了对比计算。结果表明,炸药爆轰对飞板的驱动能力与状态方程表示的炸药的做功能力是一致的。Abstract: Fromthephysicaldefinitionofperturbationpropagation(Machwaves),thecharacteristic equationsofatwo-dimensionalsupersonicflowwerededucedintotheformswhichwereuncorrelated withtheformulaofEOS.Meanwhile,anewPrantl-Meyerfunctionwasexpressedintoasimplevariablefunctionoffluiddensityalso. Basedoncharacteristicdifference,asolutionmethodofthetwo-dimensionalsupersonicflowwasbuiltup. Therefore,asanapplicationexampleofthesolutionmethod, themovementoftheflyerplatedrivenbyglancingdetonationwasanalyzed.Forcomparison,DetonationdrivesoftheTNTandemulsionexplosiveswerecalculatedwithJWLandpolytropicEOSs. The numericalresultsshowthatcharacteristicdifferencesolutionscompletelyagreewiththeexpanding worksofexplosiveEOSs.
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