磁场对液体-微伸缩固体介面波传播的影响

B·辛格

doi:10.3879/j.issn.1000-0887.2011.05.006

磁场对液体-微伸缩固体介面波传播的影响

doi: 10.3879/j.issn.1000-0887.2011.05.006

B·辛格

政府学院研究生院数学系,昌迪加尔 160011,印度

详细信息

中图分类号: O347.4+4
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出版历程
- 收稿日期: 2010-04-19
- 修回日期: 2011-03-09
- 刊出日期: 2011-05-15

Influence of Magnetic Field on Wave Propagation at Liquid-Microstretch Solid Interface

Baljeet Singh

Department of Mathematics, Post Graduate Government College, Sector-11, Chandigarh 160011, India

摘要

摘要: 在一个传播理想的非粘性液体半空间，和一个传播理想的微伸缩弹性固体半空间之间，研究介面处纵波的反射和透射．在两个半空间中，满足介面处必需的边界条件下，得到控制方程的适当解，是一组以不同反射和透射波振幅比表示的5个非齐次方程．以水和铝-环氧树脂合成材料介面为实际例子，用Gauss消除法的Fortran程序求解方程组．考虑存在和不存在外加横向磁场两种情况，在某些入射角范围内，计算振幅比的数值解．最后用图形给出横向磁场对不同反射和透射波振幅比的影响．
- 微伸缩 /
- 波的传播 /
- 反射和透射 /
- 磁场
Abstract: The reflection and refraction of longit udinal wave at an interface between perfectly conducting non-viscous liquid half-space and a perfectly conducting microstretch elastic solid half-space was studied. The appropriate solutions of the governing equations were obtained in both the half-spaces which satisfy the required boundary conditions at the interface to obtain a system of five non-homogeneous equations in the amplitude ratios of various reflected and transmitted waves. The system of equations was solved by Fortran program of Gauss elimination method for a particular example of an interface between water and aluminum-epoxy composite. The numerical values of amplitude ratios were computed for a certain range of the angle of incidence both in presence and absence of impressed transverse magnetic field. The effects of the presence of transverse magnetic field on the amplitude ratios of various reflected and transmitted waves were shown graphically.
- microstretch /
- wave propagation /
- reflection and transmission /
- magnetic field

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参考文献(12)

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