Öz
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.
Anahtar Kelimeler
Heat transfer analysis Steady state Inverse Thermal Stress analysis.
Kaynakça
- Cialkowski N.J., Grysa K.W., “On a certain Inverse problem of temperature and thermal Stresses fields”, Acta Mechanica, 36, 169-185, 1981.
- Haghighi G., Eghtesad M., Malekzadeh P., Necsulescu D.S., “Two dimensional inverse heat transfer analysis of functionally graded materials in estimating time dependent surface heat flux”, Numerical heat transfer, Part A: Applications, 54, 744-762, 2008.
- Huang C H., Cheng S.C., “Three dimensional inverse problem of estimating the volumetric heat generation for a composite material”, Numerical heat transfer, Part A: Applications, 39, 383-403, 2001.
- Choulli M., Zeghal A., “Laplace transform approach for an inverse problem”, Transport Theory and Statistical Physics, 24, 1353-1367, 1995.
- Taler J., “Theory of transient experimental technique for surface heat transfer”, Int. J. Heat Mass Transfer, 42, 1123-1140, 1999.
- Noda N., Hetnarski R. ,Tanigawa Y., “Thermal Stresses in spherical bodies”, in Thermal Stresses, 2nd edition, New York, Taylor & Francis, 2003, Chp.7, p.295-341.
- Mohammadium M., Rahimi A.B., “Estimation of heat flux using temperature distribution at a point by conjugate gradient method”, Int. J. Thermal Sciences, 50, 2443-2450, 2011.
- Kulkarni V.S., Deshmukh K.C., “An inverse quasi- static steady state thermal stresses in a thick circular plate”, J. Franklin Institute, 345, 29-38, 2008.
- Ozisik M.N., “Heat conduction in spherical coordinate system” in Boundary value problems of heat conduction, Scranton, Pennsylvania, International Company, 1968, pp.194-236.
Öz
Kaynakça
- Cialkowski N.J., Grysa K.W., “On a certain Inverse problem of temperature and thermal Stresses fields”, Acta Mechanica, 36, 169-185, 1981.
- Haghighi G., Eghtesad M., Malekzadeh P., Necsulescu D.S., “Two dimensional inverse heat transfer analysis of functionally graded materials in estimating time dependent surface heat flux”, Numerical heat transfer, Part A: Applications, 54, 744-762, 2008.
- Huang C H., Cheng S.C., “Three dimensional inverse problem of estimating the volumetric heat generation for a composite material”, Numerical heat transfer, Part A: Applications, 39, 383-403, 2001.
- Choulli M., Zeghal A., “Laplace transform approach for an inverse problem”, Transport Theory and Statistical Physics, 24, 1353-1367, 1995.
- Taler J., “Theory of transient experimental technique for surface heat transfer”, Int. J. Heat Mass Transfer, 42, 1123-1140, 1999.
- Noda N., Hetnarski R. ,Tanigawa Y., “Thermal Stresses in spherical bodies”, in Thermal Stresses, 2nd edition, New York, Taylor & Francis, 2003, Chp.7, p.295-341.
- Mohammadium M., Rahimi A.B., “Estimation of heat flux using temperature distribution at a point by conjugate gradient method”, Int. J. Thermal Sciences, 50, 2443-2450, 2011.
- Kulkarni V.S., Deshmukh K.C., “An inverse quasi- static steady state thermal stresses in a thick circular plate”, J. Franklin Institute, 345, 29-38, 2008.
- Ozisik M.N., “Heat conduction in spherical coordinate system” in Boundary value problems of heat conduction, Scranton, Pennsylvania, International Company, 1968, pp.194-236.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Bölüm | Regular Original Research Article |
| Yazarlar | |
| Yayımlanma Tarihi | 1 Nisan 2015 |
| Yayımlandığı Sayı | Yıl 2015 Cilt: 18 Sayı: 3 |