Graetz–Nusselt problem for Bingham liquid

The Graetz–Nusselt problem for Bingham liquid is solved by the approximate Kantorovich method. The solution is obtained in the form of a Fourier–Bessel series. The internal heat release at the expense of viscous dissipation is taken into account. Expressions for the temperature and local Nusselt number are obtained. The results of numeric analysis of the solution are presented.