BibTex RIS Kaynak Göster

AN INVERSE MATHEMATICAL APPROACH FOR THERMAL STRESSES IN A SOLID SPHERE

Yıl 2015, Cilt: 18 Sayı: 3, 206 - 211, 01.04.2015
https://doi.org/10.5541/ijot.5000109638

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.

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.
Yıl 2015, Cilt: 18 Sayı: 3, 206 - 211, 01.04.2015
https://doi.org/10.5541/ijot.5000109638

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.
Toplam 9 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Regular Original Research Article
Yazarlar

Vinayak Kulkarni

K. Deshmukh Bu kişi benim

Asha Bhave Bu kişi benim

Yayımlanma Tarihi 1 Nisan 2015
Yayımlandığı Sayı Yıl 2015 Cilt: 18 Sayı: 3

Kaynak Göster

APA Kulkarni, V., Deshmukh, K., & Bhave, A. (2015). AN INVERSE MATHEMATICAL APPROACH FOR THERMAL STRESSES IN A SOLID SPHERE. International Journal of Thermodynamics, 18(3), 206-211. https://doi.org/10.5541/ijot.5000109638
AMA Kulkarni V, Deshmukh K, Bhave A. AN INVERSE MATHEMATICAL APPROACH FOR THERMAL STRESSES IN A SOLID SPHERE. International Journal of Thermodynamics. Ağustos 2015;18(3):206-211. doi:10.5541/ijot.5000109638
Chicago Kulkarni, Vinayak, K. Deshmukh, ve Asha Bhave. “AN INVERSE MATHEMATICAL APPROACH FOR THERMAL STRESSES IN A SOLID SPHERE”. International Journal of Thermodynamics 18, sy. 3 (Ağustos 2015): 206-11. https://doi.org/10.5541/ijot.5000109638.
EndNote Kulkarni V, Deshmukh K, Bhave A (01 Ağustos 2015) AN INVERSE MATHEMATICAL APPROACH FOR THERMAL STRESSES IN A SOLID SPHERE. International Journal of Thermodynamics 18 3 206–211.
IEEE V. Kulkarni, K. Deshmukh, ve A. Bhave, “AN INVERSE MATHEMATICAL APPROACH FOR THERMAL STRESSES IN A SOLID SPHERE”, International Journal of Thermodynamics, c. 18, sy. 3, ss. 206–211, 2015, doi: 10.5541/ijot.5000109638.
ISNAD Kulkarni, Vinayak vd. “AN INVERSE MATHEMATICAL APPROACH FOR THERMAL STRESSES IN A SOLID SPHERE”. International Journal of Thermodynamics 18/3 (Ağustos 2015), 206-211. https://doi.org/10.5541/ijot.5000109638.
JAMA Kulkarni V, Deshmukh K, Bhave A. AN INVERSE MATHEMATICAL APPROACH FOR THERMAL STRESSES IN A SOLID SPHERE. International Journal of Thermodynamics. 2015;18:206–211.
MLA Kulkarni, Vinayak vd. “AN INVERSE MATHEMATICAL APPROACH FOR THERMAL STRESSES IN A SOLID SPHERE”. International Journal of Thermodynamics, c. 18, sy. 3, 2015, ss. 206-11, doi:10.5541/ijot.5000109638.
Vancouver Kulkarni V, Deshmukh K, Bhave A. AN INVERSE MATHEMATICAL APPROACH FOR THERMAL STRESSES IN A SOLID SPHERE. International Journal of Thermodynamics. 2015;18(3):206-11.