Analytic Transient Solutions of a Cylindrical Heat Equation

Abstract

The principles of superposition and separation of variables
are used here in order to investigate the analytical solutions
of a certain transient heat conduction equation. The structure
of the transient-temperature appropriations and
the heat-transfer distributions are summed up for a straight mix of
the results by means of the Fourier-Bessel arrangement of the
exponential type for the investigated partial differential equation.