...K. G. Terry Hollands The application of a new Fredholm integral equation solver to problems in thermal radiation is explored. The new method provides a simplified version of Fredholm’s own 1903 solution which, while being highly important from a theoretical point of view, had been considered too...

... Fredholm integral equations heat transfer Laplace transforms radiative transfer ( a ) Intensity for a linear temperature field, n λ = 1.5 , ( b ) intensity for a linear temperature field, n λ = 4.5 , ( c ) intensity for a sinusoidal temperature field, n λ = 1.5...

... for setting up the governing radiant exchange integral equations. These equations are then solved by the usual iterative method devized for the Fredholm integral equation of the second kind. The suggested coordinate transformation is also utilized for determination of directional absorptivity of a fully...

... integral equations Control Furnaces Heat Transfer Inverse Optimization Radiation Design of thermal processing systems involves satisfying desired conditions in the part of the system where the thermal processing takes place. We call this part of the system the “design environment...