Radiant and convective heat transfer on pneumatic transport of particles: an analytical study

In this work, an analysis of the heat transfer to pneumatically conveyed oil shale fines particles is developed. A radiative–convective model, including radial dependence on the fluid temperature, is analytically solved by the use of the Laplace transform and modified Duhamel theorem . It is demonstrated that the limiting case of infinity dilution of the particles results in the classical Graetz solution . Results are analyzed and compared with experimental data and another existent lumped capacity solution .