Nieustalone pole temperatury i naprężeń w nieskończenie długim, wydrążonym walcu ogrzewanym na zewnętrznej powierzchni i chłodzonym na wewnętrznej

The purpose of this paper is to find temperature and thermal stresses distributions in a hollow cylinder with prescribed heat flux across the outer surface and cooled internally by fluid. The cylinder is assumed to have zero initial temperature. Exact solution for the temperature distribution is obtained applying the Laplace transform with respect to time t and approximate solution by heat balance integral method. Approximate temperature and thermal stresses profiles are compared with the exact solutions. The agreement is quite good.