The present paper deals with the determination of unknown temperature and thermal stresses on the curved surface of a semi-infinite circular cylinder defined as 0 ≤ r ≤ a , 0 ≤ z ≤ ∞. The circular cylinder is subjected to an arbitrary known temperature under unsteady state condition. Initially, the cylinder is at zero temperature and temperature at the lower surface is held fixed at zero. The governing heat conduction equation has been solved by using the integral transform method. The results are obtained in series form in terms of Bessel’s functions. A mathematical model has been constructed for aluminum material and illustrates the results graphically.
Deshmukh, K. C.; Warbhe, S. D.; Kedar, G. D.; and Kulkarni, V. S.
Inverse Heat Conduction Problem in a Semi-Infinite Cylinder and its Thermal Stresses by Quasi-Static Approach,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 6,
1, Article 11.
Available at: https://digitalcommons.pvamu.edu/aam/vol6/iss1/11