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Page Title: Decay Heat Limits
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Calculation of Decay Heat
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Thermodynamics Heat Transfer and Fluid Flow Volume 2 of 3
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Decay Heat Removal

Heat Transfer DECAY HEAT where: = decay heat   (Btu/hr) Q m     = mass of coolant   (lbm) cp = specific heat capacity of coolant   (Btu/lbm-oF) DT   = temperature change of coolant   (oF) Dt    = time over which heatup takes place   (hr) Example: Three days after a planned reactor shutdown, it is desired to perform maintenance on one of  two  primary  heat  exchangers.    Each  heat  exchanger  is  rated  at  12,000  Btu/hr.    To check the current heat load on the primary system due to decay heat, cooling is secured to both heat exchangers.  The primary system heats up at a rate of 0.8°F/hr.  The primary system contains 24,000 lbm of coolant with a specific heat capacity of 0.8 Btu/lbm-°F. Will one heat exchanger be sufficient to remove the decay heat? Solution: Q m  cp DT Dt (24,000  lbm)æ ç è ö ÷ ø 0.8 Btu lbm  °F æ ç è ö ÷ ø 0.8°F 1  hr 15,360Btu hr One heat exchanger removes 12,000 Btu/hr. One heat exchanger will not be sufficient. Decay Heat Limits Reactor decay heat can be a major concern.  In the worst case scenarios, it can cause melting of and/or damage to the reactor core, as in the case of Three Mile Island.   The degree of concern with decay heat will vary according to reactor type and design.  There is little concern about core temperature due to decay heat for low power, pool-type reactors. Rev. 0 Page 55 HT-02

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