Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (12): 1505-.doi: https://doi.org/10.1007/s10483-009-1203-6

• Articles • 上一篇    下一篇

Effect of rotation in generalized thermoelastic solid under the influence of gravity with an overlying infinite thermoelastic fluid

Praveen Ailawalia1, Naib Singh Narah2   

  1. 1. Department of Mathematics, M. M. Engineering College, Maharishi Markandeshwar University, Mullana, District Ambala, Haryana, India;
    2. Department of Mathematics, D. A. V. College, Ambala City, Haryana, India
  • 收稿日期:2009-04-24 修回日期:2009-08-24 出版日期:2009-12-23 发布日期:2009-12-23

Effect of rotation in generalized thermoelastic solid under the influence of gravity with an overlying infinite thermoelastic fluid

Praveen Ailawalia1, Naib Singh Narah2   

  1. 1. Department of Mathematics, M. M. Engineering College, Maharishi Markandeshwar University, Mullana, District Ambala, Haryana, India;
    2. Department of Mathematics, D. A. V. College, Ambala City, Haryana, India
  • Received:2009-04-24 Revised:2009-08-24 Online:2009-12-23 Published:2009-12-23

摘要: The present problem is concerned with the study of deformation of a rotating generalized thermoelastic solid with an overlying infinite thermoelastic fluid due to different forces acting along the interface under the influence of gravity. The components of displacement, force stress, and temperature distribution are first obtained in Laplace and Fourier domains by applying integral transforms, and then obtained in the physical domain by applying a numerical inversion method. Some particular cases are also discussed in the context of the problem. The results are also presented graphically to show the effect of rotation and gravity in the medium.

关键词: rotation, gravity, generalized thermoelasticity, thermoelastic fluid, Laplace and Fourier transforms, temperature distribution

Abstract: The present problem is concerned with the study of deformation of a rotating generalized thermoelastic solid with an overlying infinite thermoelastic fluid due to different forces acting along the interface under the influence of gravity. The components of displacement, force stress, and temperature distribution are first obtained in Laplace and Fourier domains by applying integral transforms, and then obtained in the physical domain by applying a numerical inversion method. Some particular cases are also discussed in the context of the problem. The results are also presented graphically to show the effect of rotation and gravity in the medium.

Key words: rotation, gravity, generalized thermoelasticity, thermoelastic fluid, Laplace and Fourier transforms, temperature distribution

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