核科学与工程
覈科學與工程
핵과학여공정
CHINESE JOURNAL OF NUCLEAR SCIENCE AND ENGINEERING
2015年
1期
69-75
,共7页
随机中子输运%裂变链概率%运动介质
隨機中子輸運%裂變鏈概率%運動介質
수궤중자수운%렬변련개솔%운동개질
stochastic neutronics%probability of fission chain%moving material
针对具有一定速度的流动介质构成的增殖系统,依据概率守恒关系,在相对速度相空间建立中子引发裂变链概率的微分-积分方程,推导考虑流体宏观运动影响的表达式。在一维球对称坐标系下,采用离散纵标(SN)方法计算考虑和不考虑流体情形中子引发裂变链的概率,并分析其随时间演化过程的差异。结果表明,堆体材料沿径向方向向外运动时,近似考虑流体运动中子引发持续裂变链的概率计算结果高于不考虑流体运动的计算结果,在流体最大速度为30 cm/μs(接近1 keV 的中子速度)时,二者的差别约为6%。对运动介质宏观运动影响的考虑,提高了实际物理建模的合理性,对于堆体的不同体元具有膨胀和压缩等复杂运动形态或体元的运动速度较高的情形,近似考虑流体运动影响是非常必要的。
針對具有一定速度的流動介質構成的增殖繫統,依據概率守恆關繫,在相對速度相空間建立中子引髮裂變鏈概率的微分-積分方程,推導攷慮流體宏觀運動影響的錶達式。在一維毬對稱坐標繫下,採用離散縱標(SN)方法計算攷慮和不攷慮流體情形中子引髮裂變鏈的概率,併分析其隨時間縯化過程的差異。結果錶明,堆體材料沿徑嚮方嚮嚮外運動時,近似攷慮流體運動中子引髮持續裂變鏈的概率計算結果高于不攷慮流體運動的計算結果,在流體最大速度為30 cm/μs(接近1 keV 的中子速度)時,二者的差彆約為6%。對運動介質宏觀運動影響的攷慮,提高瞭實際物理建模的閤理性,對于堆體的不同體元具有膨脹和壓縮等複雜運動形態或體元的運動速度較高的情形,近似攷慮流體運動影響是非常必要的。
침대구유일정속도적류동개질구성적증식계통,의거개솔수항관계,재상대속도상공간건립중자인발렬변련개솔적미분-적분방정,추도고필류체굉관운동영향적표체식。재일유구대칭좌표계하,채용리산종표(SN)방법계산고필화불고필류체정형중자인발렬변련적개솔,병분석기수시간연화과정적차이。결과표명,퇴체재료연경향방향향외운동시,근사고필류체운동중자인발지속렬변련적개솔계산결과고우불고필류체운동적계산결과,재류체최대속도위30 cm/μs(접근1 keV 적중자속도)시,이자적차별약위6%。대운동개질굉관운동영향적고필,제고료실제물리건모적합이성,대우퇴체적불동체원구유팽창화압축등복잡운동형태혹체원적운동속도교고적정형,근사고필류체운동영향시비상필요적。
For a multiplying assembly made up of moving materials having a certain speed,a time-dependent integro-differential equation,which describes the evolvement process of probability of the fission chain,has to be derived in relative velocity space according to the probability conservation,and an expression for fluid movement is deduced from the above equation.Concerning such cases as not considering and approximately considering of fluid movement,the probability is calculated by the multi-group SN method in spherical symmetry coordinate,and the differences of results are studied.The results demonstrate that when the material moves outwards,the results of probability of the fission chain,approximately taking fluid movement into account,are higher than those of not considering of fluid movement.When the most speed of fluid is 30 cm/ms,reaching the speed of 1 keV neutron,the difference of the above results approaches 6%.Considering the influence of fluid movement improves the rationality of the real physical model.For multiplying assembly whose different parts have such different moving states as expanding and contracting or whose speed is much higher,it is essential that fluid movement is approximately considered.