By P. Silvennoinen

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Extra resources for Reactor Core Fuel Management (Pergamon international library of science, technology, engineering, and social studies)

Example text

Periodic system is described by a unit cell. An outflow of neutrons from the cell at x = 0 is described by the arrow A. The periodic boundary condition implies there to be an inflow of neutrons at x = a, which represents the opposite surface. The arrow B corresponds to the periodicity requirement. If the unit cell, however, possesses a symmetry axis at x = a / 2 , the arrow B is equivalent to the arrow A ' and A -A ' implements the reflective boundary condition. Consider finally a problem arising in the substitution of a real lattice or unit cell by an approximate cylindrical one in accordance with Fig.

The reflection condition can mathematically be imposed, but it tends to distort the real behaviour by yielding too high fluxes in the moderator. (2,3) One circumvents the problem satisfactorily by placing an isotropically scattering ring around the equivalent cell. This procedure is known as the white boundary condition and it will be discussed again subsequently. 3. Equivalent cylindrical cells. 3. PI and Diffusion Approximations Among the variety of approximations applied to eq. 2) there is a certain class in which the angular direction variable fl is eliminated from the transport equation.

Energy Soc. 12, 409 (1973). 7. , Nucl. Sci. Engng. 25, 275 (1966). 8. Delp, D. L. , 1964. 9. Pedersen, T. , M-1607, Danish Atomic Energy Commission, Riso, 1973. 10. , in Numerical Reactor Calculations, International Atomic Energy Agency, Vienna, 1972. CHAPTER 3 Core Heat Transfer HEATtransfer calculations enter the core fuel management analysis for two reasons of indispensable significance. Firstly, the power generation capability of the core is confined by the thermohydraulic parameters which have to remain within the ranges designed.

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