Effect of heat transfer on thermal stresses in an annular hyperbolic fin: an approximate analytical solution

• Autorzy: Mallick A. , Ranjan R. , Sarkar P. K.

Identyfikatory

DOI

10.15632/jtam-pl.54.2.437

• Języki publikacji: EN

Abstrakty

EN

An approximate analytical solution is presented for thermal stresses in an annular convectiveconductive fin of a hyperbolic profile with temperature dependent thermal conductivity. The classical thermo-elasticity theory coupled with the ADM based polynomial form of temperature field is employed for an approximate analytical solution of thermal stresses. The influence of thermal parameters, i.e. variable thermal conductivity, the thermo-geometric parameter and the non-dimensional coefficient of thermal expansion on temperature and sttress fields are investigated. The results for the stress field obtained from the ADM based solution are compared with those available in literature and found to be in close agreement.

Słowa kluczowe

EN

thermal stresses; Adomian decomposition method (ADM); variable thermal conductivity

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2016
• Tom: Vol. 54 nr 2
• Strony: 437--448
• Opis fizyczny: Bibliogr. 12 poz., rys.

Twórcy

autor

Mallick A.

• Department of Mechanical Engineering, Indian School of Mines, Dhanbad, India

autor

Ranjan R.

• Department of Mechanical Engineering, Indian School of Mines, Dhanbad, India

autor

Sarkar P. K.

• Department of Mechanical Engineering, Indian School of Mines, Dhanbad, India

Bibliografia

• 1. Adomian G., 1988, Non-Linear Stochastic System Theory and Application to Physics, Kluwer Academic Publisher, Dordrecht
• 2. Aksoy I.G., 2013, Adomian decomposition method for heat conduction in an annular fin of hyperbolic profile with temperature dependent thermal conductivity, Journal of Thermal Science and Technology, 33, 1-8
• 3. Behnia M., Copeland D., Soodphadakee D., 1998, A comparison of heat sink geometries for laminar forced convection, Proceedings of the Sixth Intersociety Conference on Thermal and Thermomechanical Phenomena
• 4. Chiu C.H., Chen C.K., 2002, Application of the decomposition method to the thermal stresses in isotropic circular fins with temperature-dependent thermal conductivity, Acta Mechanica, 157, 147-158
• 5. Kern Q.D., Kraus D.A., 1972, Extended Surface Heat Transfer, McGraw-Hill, New York, USA
• 6. Kraus A.D., Aziz A., Welty, J.R., 2001, Extended Surface Heat Transfer, John Wiley and Sons, New York
• 7. Mallick A., Ghosal S., Sarkar P.K., Ranjan R., 2015, Homotopy perturbation method for thermal stresses in an annular fin with variable thermal conductivity, Journal of Thermal Stresses, 38, 110-132
• 8. Miansari M.O., Ganji D.D., Miansari M.E., 2008, Application of He’s variational iteration method to nonlinear heat transfer equations, Physics Letters A, 372, 770-785
• 9. Mokheimer E.M.A., 2002, Performance of annular fins with different profiles subject to variable heat transfer coefficient, International Journal of Heat and Mass Transfer, 45, 3631-3642
• 10. Moradi A., 2011, Analytical solution for fin with temperature dependent heat transfer coefficient, International Journal of Applied Science and Engineering, 3, 1-12
• 11. Timoshenko S.P., Goodier J.N., 1970, Theory of Elasticity, McGraw-Hill, New York
• 12. Yeh R.H., 1997, An analytical study of the optimum dimensions of rectangular fins and cylindrical pin fins, International Journal of Heat and Mass Transfer, 40, 3607-3615

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniajacą naukę.