量纲分析法求解辐射热传导自相似解

Zhang Lu; Yan Ji; Yang Jiamin; Ding Yongkun

doi:10.3788/HPLPB20122406.1424

Volume 24 Issue 06

May 2012

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Zhang Lu, Yan Ji, Yang Jiamin, et al. 量纲分析法求解辐射热传导自相似解[J]. High Power Laser and Particle Beams, 2012, 24: 1424-1428. doi: 10.3788/HPLPB20122406.1424

Citation:

Zhang Lu, Yan Ji, Yang Jiamin, et al. 量纲分析法求解辐射热传导自相似解[J]. High Power Laser and Particle Beams, 2012, 24: 1424-1428. doi: 10.3788/HPLPB20122406.1424

Zhang Lu, Yan Ji, Yang Jiamin, et al. 量纲分析法求解辐射热传导自相似解[J]. High Power Laser and Particle Beams, 2012, 24: 1424-1428. doi: 10.3788/HPLPB20122406.1424

Citation:

Zhang Lu, Yan Ji, Yang Jiamin, et al. 量纲分析法求解辐射热传导自相似解[J]. High Power Laser and Particle Beams, 2012, 24: 1424-1428. doi: 10.3788/HPLPB20122406.1424

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量纲分析法求解辐射热传导自相似解

doi: 10.3788/HPLPB20122406.1424

Zhang Lu^{1,2
,
,},
Yan Ji¹,
Yang Jiamin¹,
Ding Yongkun¹,

1.
Research Center of Laser Fusion,CAEP,P.O.Box 919-986,Mianyang 621900,China;
2.
Department of Engineering Physics,Tsinghua University,Beijing 100084,China

Received Date: 2011-07-18
Rev Recd Date: 2011-12-13
Publish Date: 2012-06-15

Abstract

Abstract

通过量纲分析，将辐射流体方程简化为一阶常微分方程组的形式，进而结合数值计算求得热波烧蚀自相似解。流体方程涉及的内能、状态方程表达式采用依赖于温度、密度两个参量的形式，且参数可调，适用性较广。源边界条件可为恒温、恒流、恒压、常密等情况。以恒温源为例，给出了X射线加热Au壁时烧蚀质量与烧蚀压的定标关系，与文献结果及MULTI辐射流体程序计算结果吻合较好。
- radiative heat wave,
- dimensional analysis,
- self-similar solution,
- radiation ablation