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

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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.

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Abbreviations

ρ*:

density

u*:

displacement vector

t * ij :

stress tensor

ν*:

linear thermal expansion, ν*=(3λ*+2μ)α * t

λ*, μ:

Lame’s constants

τ0, ϑ0:

thermal relaxation times

e :

dilatation, e = divu

g :

acceleration due to gravity

K*:

coefficient of thermal conductivity

C *E :

specific heat

T*:

temperature distribution

T *0 :

reference temperature

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Authors and Affiliations

  1. Department of Mathematics, M. M. Engineering College, Maharishi Markandeshwar University, Mullana, District Ambala, Haryana, India

    Praveen Ailawalia

  2. Department of Mathematics, D. A. V. College, Ambala City, Haryana, India

    Naib Singh Narah

Authors
  1. Praveen Ailawalia
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  2. Naib Singh Narah
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Correspondence to Praveen Ailawalia.

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Communicated by Ya-peng SHEN

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Ailawalia, P., Narah, N.S. Effect of rotation in generalized thermoelastic solid under the influence of gravity with an overlying infinite thermoelastic fluid. Appl. Math. Mech.-Engl. Ed. 30, 1505–1518 (2009). https://doi.org/10.1007/s10483-009-1203-6

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  • DOI: https://doi.org/10.1007/s10483-009-1203-6

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