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 [10]. It is demonstrated that the limiting case of infinity dilution of the particles results in the classical Graetz solution [15]. Results are analyzed and compared with experimental data and another existent lumped capacity solution [6].