Integral Transform and Heat Conduction in a Hollow Cone with Radiation

Abstract

A new integral transform is development whose kernal is a spherical function a solution of Legendre differential equation. This transform is used to determine the temperature at any point in a hollow finite cone whose inner angle is a and outer angle is b, with boundary conditions of radiation type on the outside and inside surface having independent radiation constants. It is evident that most of the possible problems on boundary conditions hollow cones can be solved by particularising the method described here.