金属约束下定常非理想爆轰的理论研究

为了对金属约束条件下的定常非理想爆轰进行理论研究,对未反应炸药和爆轰产物采用JWL形 式状态方程,对金属采用p(,T)形式状态方程。采用过爆轰前导冲击波的流线偏转角在影响域内沿高度线 性变化的假设,并且由未反应炸药和金属的冲击波极曲线的交点确定爆轰冲击边缘角,则可从未反应炸药斜 冲击波极曲线关系式求出爆轰前导冲击波阵面的形状。采用爆轰前导冲击波阵面之后的流线是直线的假设, 则爆轰流动控制方程由偏微分方程变为沿流线的常微分方程,沿着所有流线求解便给出爆轰化学反应区内 声速线与化学反应结束线的位置。理论分析同时给出约束金属折射冲击波后面的流体的流动状态。理论结 果给出的爆轰化学反应区结构特征和约束金属内的流动状态特征与高精度数值模拟的结果符合良好,说明 本文中给出的理论方法具有良好的合理性和适用性。

A theoretical study on steady non-ideal detonation with metal confinement

Toanalyzethesteadynon-idealdetonationwith metalconfinement,theJWLequationof stateisadoptedfortheunreactedexplosiveanddetonationproduct,andthep(ρ,T)equationofstate forthemetal.Andthethree-termLee-Tarverreactionrateisadoptedinthechemicalreactionmodel. Basedonthehypothesisthatthedeflectangleoftheflowcrossingtheleadingshockwaveislinear withheight,theshapeoftheleadingshockwavecanbeobtainedfromthepolarcurve,anddetonation edgeanglemaybeobtainedfromthemarchingpointbetweenthepolarcurvesoftheunreactedexplosiveandthemetal. Basedonthehypothesisthatthestreamlinesbehindtheleadingshockwaveare straightanddiverging,thegoverningequationsofdetonationwillchangefromthepartialdifferential typeintotheordinarydifferentialtype,thenthelocationsofthesoniclineandtheendofchemistry reactioncanbeobtainedthroughsolvingtheordinarydifferentiaequationsalongthestreamlines.The polarcurvesoftheshockedmetalshowthattheflowsbehindtherefractionshockmaybesupersonic withthehardcompressibility,orsubsonicwiththeeasycompressibility.Thetheoryresultsaboutthe structurecharacterofthedetonationreactionzoneandtheflowstateinsidetheconfinementmetalagreeswiththehighprecisionnumericalsimula ion