On problem of transient coupled thermoelasticity of an annular fin |
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Authors: | A. M. Abd-Alla S. R. Mahmoud S. M. Abo-Dahab |
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Affiliation: | (1) Math. Dept., Faculty of Science, Taif University, Taif, Saudi Arabia;(2) Math. Dept., Faculty of Science, King Abdul Aziz University, Jeddah, Saudi Arabia;(3) Math. Dept., Faculty of Science, Sohag, Egypt;(4) Math. Dept., Faculty of Science, SVU, Qena, 83523, Egypt |
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Abstract: | In this paper, the radial deformation and the corresponding stresses in a homogeneous annular fin for an isotropic material has been investigated. A numerical technique is proposed to obtain the solution of the transient coupled thermoelasticity in an annular fin cylinder with it’s base suddenly subject to a heat flux of a decayed exponential function of time. The system of fundamental equations is solved by using an implicit finite-difference method. The present method is a second-order accurate in time and space and unconditionally stable. A numerical method is used to calculate the temperature, displacement and the components of stresses with time t and through the radial of the annular fin cylinder. The results indicate that the effect of coupled thermoelasticity on temperature, stresses and displacement is very pronounced. Comparison is made with the results predicted by the theory of thermoelasticity in the absence of coupled thermoelasticity. |
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