Three Dimensional Steady State Thermal Stress Analyses in a ClampedSolid Sphere

Journal of Applied & Computational Mathematics

article

Asha Bhave¹  Deshmukh KC¹  Kulkarni VS² 

[1] Department of Mathematics, R.T.M. Nagpur University;Department of Mathematics, University of Mumbai

关键词: Solid sphere;    Heat transfer analysis;    Steady-state;    Thermalstress analysis;   

DOI  :  10.4172/2168-9679.1000205

来源: Hilaris Publisher

【 摘 要 】

The present work deals with the three dimensional axisymmetric problem in a spherical coordinate system. Aclamped solid sphere is subjected to heat flux on its plane boundary surface. Heat is generated within the sphere.The attempt made to analyze heat transfer and thermal stresses of solid sphere under steady temperature field.The Legendre's transforms are used for the solution of governing heat conduction equation. The solution of Navier'sequation in terms of Goodier's thermoelastic displacement potential and the Boussinesq's harmonic functionfor spherical co-ordinate system have been used to determine displacement and thermal stresses within solid.The results for temperature change, displacement and stresses have been computed numerically and illustratedgraphically.

【 授权许可】

Unknown