Transient temperature distribution in an internally and externally insulated cylindrical shell

Abstract

This paper presents the analytical solution for unsteady state temperature distribution in a cylindrical shell having thin layer of thermal insulation coating at the inner and outer surfaces. The formula has been derived assuming different initial temperatures of shell and insulation coating while the contact between them has also been assumed to be imperfect. The internal and external surfaces of the shell and coatings are exposed to the convective boundary conditions of third kind. The generalized formula obtained has been used to obtain the warming-up-period of the cylindrical wall of a Diesel engine coated internally and externally by ceramic insulation material. A plot of Temperature-time history and heat flow rates have been obtained. The problem considered has got its application in the transient thermal analysis of an adiabatic engine. Any other similar problem in metallurgical, aeronautical, furnace design, boiler design applications may be solved by the formula obtained. © 1989 Kluwer Academic Publishers.