Transient heat transfer in cylinders

A numerical solution has been obtained for transient heat transfer in cylinders by appropriate choice of body conforming grid points. The physical domain is transformed to computational domain using elliptic partial differential equation technique, wherein the grid spacing becomes uniform. The advantage of this method is that the discretisation of transformed equations and accompanying boundary conditions become very simple. The applicability of this method is very broad, as it can be used for carrying out study of any complex domain in contrast to finite difference methods, which have limited applicability. Detailed calculations have been carried out to trace the evolution of temperature distribution from the initial stages to the steadystate for circular cylinder, elliptical cylinder and square block with circular hole. This paper is aimed for general-shaped bodies and it has been applied to study transient heat transfer in combustion-driven shock tube.