In a conceptual nuclear reactor design, we want to divide the core into two zones. Zone one contains

In a conceptual nuclear reactor design, we want to divide
the core into two zones. Zone one contains N1 bundles surrounded by zone two
with N2 bundles. The design criteria requires the total power
generated in zone one to be equal to the total power produced in zone two.
Additionally, the temperature rise in zone one must also be equal to the
temperature rise in zone two. To meet these design criteria, it is necessary to
reduce the flow rate in zone two by adding orifice blocks to the inlet of the
fuel bundles located in zone two. Each orifice block has five orifices. Use the
given data to
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In a conceptual nuclear reactor design, we want to divide
the core into two zones. Zone one contains N1 bundles surrounded by zone two
with N2 bundles. The design criteria requires the total power
generated in zone one to be equal to the total power produced in zone two.
Additionally, the temperature rise in zone one must also be equal to the
temperature rise in zone two. To meet these design criteria, it is necessary to
reduce the flow rate in zone two by adding orifice blocks to the inlet of the
fuel bundles located in zone two. Each orifice block has five orifices. Use the
given data to find the diameter of the orifcing (D). Assume smooth surfaces and
negligible pressure losses in all parts of the fuel assemblies other than the
fuel bundle and the orifice block. Data: _PCore = 0.745 MPa, mCore
= 17.5E6 kg/h, N1 = 65, N2 = 85, L = 4 m, _ = 40 cm,
_water = 800 kg/m3, µwater = 2E-4 N·s/m2,
Kc = 0.5, Ke = 1.0, and all five channels in the orifice
block have equal diameters.

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