Mathematical simulation of steam generating channel dynamics on the base of derivative with respect to direction

Considered are processes of heat transfer and hydrodynamics in a channel of a boiling nuclear reactor. The equations, describing dynamics of these processes, are written on the base of derivatives with respect to directions, which permits to obtain differential equations for boundaries of characteristic heat transfer regions. Transition to the system of usual differential equations is executed with the use of the channel division in regions by movable cross sections, change law of which is caused by transfer of boundaries of heat transfer characteristic regions. The model permits to describe boundary displacement of heat transfer characteristic zones and it can be used for calculations of operation dynamic regimes of boiling nuclear reactors and steam generators. Presented are calculation examples of transient processes in a nuclear reactor and given is a comparison of numerical calculations with an accurate solution