AN INVERSE MATHEMATICAL APPROACH FOR THERMAL STRESSES IN A SOLID SPHERE

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International Journal of Thermodynamics
Volume:18 Issue:3
AN INVERSE MATHEMATICAL APPROACH FOR THERMAL STRESSES IN A SOLID SPHERE

AN INVERSE MATHEMATICAL APPROACH FOR THERMAL STRESSES IN A SOLID SPHERE

Authors : Vinayak KULKARNİ, K DESHMUKH, Asha BHAVE

Pages : 206-211

Doi:10.5541/ijot.5000109638

View : 34 | Download : 7

Publication Date : 2015-04-01

Article Type : Research Paper

Abstract :The present work deals with the determination of unknown temperature and thermal stresses in a solid sphere. A solid sphere is subjected to arbitrary known interior temperature under steady state. The Legendre`s transform are used for heat transfer analysis to determine temperature change within solid sphere. The solution of Navier`s equation in terms of Goodier`s thermoelastic displacement potential and the Boussinesq`s harmonic function for spherical co-ordinate system have been used for thermal stress analysis. The results for temperature change, displacement and stresses have been computed numerically and illustrated graphically.
Keywords : Heat transfer analysis, Steady state, Inverse, Thermal Stress analysis

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