ABSTRACT

Green’s functions (GFs), named after English physicist George Green (1793-1841), are powerful tools for obtaining solutions of linear heat conduction problems. They also apply to the solution of many other phenomena described by linear differential equations. A GF is a basic solution of a specific differential equation with homogeneous boundary conditions; it is a building block from which many useful solutions may be constructed. For transient heat conduction, a GF describes the temperature distribution caused by an instantaneous, local heat pulse.