<p>We perform the analysis of the distribution of temperature fields in a circular cylindrical channel of finite length filled with a dispersed mass moving in the axial direction at a constant speed as a result of the rotation of an induction-heated helix. It is assumed that point heat sources are continuously distributed along the helix. It is also assumed that the lateral surface of the channel is thermally insulated and that boundary conditions of the third kind for temperature are satisfied at its entrance and exit. To solve the corresponding heat-conduction problem, we use the method of expansion of the required function in the Fourier–Bessel series in angular and radial variables, as well as the Laplace integral transformation with respect to time. The sequence of differential equations in transforms is solved by replacing the unknown functions with an aim to transform the inhomogeneous ordinary differential equations into homogeneous equations. As a result of transition to the originals, we obtain the exact solution to the problem, which is then replaced for the practical reasons of computational nature by an approximate solution. The detailed numerical analysis of the space and time characteristics of the temperature field is carried out. It is shown that, in this problem, the duration of the transient process is inversely proportional to the squared speed of the mass motion, whereas the amplitudes of temperature fluctuations in the quasistationary mode are quite weak. However, these fluctuations are well visible in the case where they are analyzed in certain directions, especially under the conditions of space-time resonance for the properly chosen speeds of helical rotation and rectilinear motion of dispersed masses. The effect of local elevation of temperature for low speeds of mass motion is also established.</p>