Heat flow in a two-dimensional steady-flow system without radial symmetry

As the extent of the science of heat conduction depends on the multiplicity of the boundary conditions that can be applied to the basic differential equation, a particular case in which the use of one set boundary conditions for the development of the general equation for the temperature distribution as well as the the amount of heat flow in a steady-state, two-dimensional heat flow system with a source of heat plased at the center of or along the axis of a cylinder, and without radial symmetry has been the object of this problem. Radial symmetry means the variation of temperature with the angle when the radius is held constant. The question of whether or not the temperature distribution can be represented by a Fourier series is essential in establishing the proposition of this problem. The expression for the temperature distribution can be thought of as a means for determining the amount of heat flow from the boundary of a cylindrical body with a non-uniformly distributed temperature on the inner and outer surfaces of the cylinder by using a mean temperature --Introduction, page 2