Wave propagation at interface of heat conducting micropolar solid and fluid media

doi:10.1007/s10483-011-1467-6

Applied Mathematics and Mechanics (English Edition) ›› 2011, Vol. 32 ›› Issue (7): 881-902.doi: https://doi.org/10.1007/s10483-011-1467-6

Wave propagation at interface of heat conducting micropolar solid and fluid media

R. KUMAR¹, M.KAUR², S. C. RAJVANSHI³

1. Department of Mathematics, Kurukshetra University, Kurukshetra 136119, India;
2. Department of Applied Sciences, Guru Nanak Dev Engineering College, Ludhiana, Punjab 141008, India;
3. Department of Applied Sciences, Gurukul Vidyapeeth, Institute of Engineering and Technology, Banur, Punjab 140601, India

收稿日期:2010-12-16 修回日期:2011-05-12 出版日期:2011-07-03 发布日期:2011-07-03

Wave propagation at interface of heat conducting micropolar solid and fluid media

R. KUMAR¹, M.KAUR², S. C. RAJVANSHI³

1. Department of Mathematics, Kurukshetra University, Kurukshetra 136119, India;
2. Department of Applied Sciences, Guru Nanak Dev Engineering College, Ludhiana, Punjab 141008, India;
3. Department of Applied Sciences, Gurukul Vidyapeeth, Institute of Engineering and Technology, Banur, Punjab 140601, India

Received:2010-12-16 Revised:2011-05-12 Online:2011-07-03 Published:2011-07-03

摘要/Abstract

摘要： The present investigation is concerned with the wave propagation at an interface of a micropolar generalized thermoelastic solid half space and a heat conducting micropolar fluid half space. Reflection and transmission phenomena of plane waves are investigated, which impinge obliquely at the plane interface between a micropolar generalized thermoelastic solid half space and a heat conducting micropolar fluid half space. The incident wave is assumed to be striking at the interface after propagating through the micropolar generalized thermoelastic solid. The amplitude ratios of various reflected and transmitted waves are obtained in a closed form. It is found that they are a function of the angle of incidence and frequency and are affected by the elastic properties of the media. Micropolarity and thermal relaxation effects are shown on the amplitude ratios for a specific model. The results of some earlier literatures are also deduced from the present investigation.

Abstract: The present investigation is concerned with the wave propagation at an interface of a micropolar generalized thermoelastic solid half space and a heat conducting micropolar fluid half space. Reflection and transmission phenomena of plane waves are investigated, which impinge obliquely at the plane interface between a micropolar generalized thermoelastic solid half space and a heat conducting micropolar fluid half space. The incident wave is assumed to be striking at the interface after propagating through the micropolar generalized thermoelastic solid. The amplitude ratios of various reflected and transmitted waves are obtained in a closed form. It is found that they are a function of the angle of incidence and frequency and are affected by the elastic properties of the media. Micropolarity and thermal relaxation effects are shown on the amplitude ratios for a specific model. The results of some earlier literatures are also deduced from the present investigation.

中图分类号:

R. KUMAR;M.KAUR;S. C. RAJVANSHI. Wave propagation at interface of heat conducting micropolar solid and fluid media[J]. Applied Mathematics and Mechanics (English Edition), 2011, 32(7): 881-902.

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Wave propagation at interface of heat conducting micropolar solid and fluid media

Wave propagation at interface of heat conducting micropolar solid and fluid media

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