Thermal Deflection In A Semi-Infinite Solid Cylinder Subjected To Internal Heat Generation
Keywords:
Thermoelastic problem, Non-homogeneous heat conduction equation, internal heat generation ,Semi-infinite circular cylinder.Abstract
The present paper deals with the determination of thermal deflection in a semi-infinite circular cylinder defined as due to internal heat generation within it. A circular cylinder is considered having arbitrary initial temperature and subjected to time dependent heat flux at the fixed circular boundary whereas the zero temperature at the lower surface of the semi-infinite circular cylinder. The governing heat conduction equation has been solved by using Integral transform method. The results are obtained in series form in terms of Bessel functions. The results for thermal deflection have been computed numerically and illustrated graphically.
References
- B.A. Boley, J.H. Weiner, "Theory of Thermal Stresses" Wiley; New York, (1960).
- S.K. Roy Choudhuri, J. Franklin Institute, 296, 3, pp 213 (1973).
- K.C. Deshmukh, N.L. Khobragade, J. Thermal Stresses, 28, pp 353 (2005).
- M.N. Ozisik, Boundary Value Problems of Heat Conduction, International Text Book Company, Scranton, Pennsylvania, pp 148 (1968).
- K.C. Deshmukh, S.D. Warbhe, V.S. Kulkarni, J. Thermal Stresses, 31, 8, pp 698 (2008).
- K.C. Deshmukh, S.D. Warbhe, V.S. Kulkarni, J. Thermal Stresses, 32, 9, pp 877 (2009).
Downloads
Published
Issue
Section
License
Copyright (c) IJSRST

This work is licensed under a Creative Commons Attribution 4.0 International License.