Inverse Heat Conduction Problem in a Semi-infinite Hollow Cylinder and its Thermal Deflection by Quasi-static Approach

In this study inverse heat conduction problem is to simultaneously determine unknown temperature and thermal deflection on the outer curved surface of a semi-infinite hollow circular cylinder from the knowledge of temperature distribution within the cylinder. The hollow 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 at zero heat flux. Also the inner boundary surface of the cylinder is at zero temperature. The governing heat conduction equation has been solved by using integral transform method. The results are obtained in series form in terms of Bessel’s functions. Mathematical model has also been constructed with the help of numerical illustration.