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Page Title: Thermal Limits
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Flux Profiles
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Thermodynamics Heat Transfer and Fluid Flow Volume 2 of 3
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Maximum Local Linear Power Density

Heat Transfer HEAT GENERATION Thermal Limits Hot  channel  factors  are  calculated  values  used  to  take  into  account  various  uncertainties  in tolerances used in core manufacturing.  For example, consider a coolant channel of the minimum acceptable  width  and  length,  that  happens  to  be  adjacent  to  a  fuel  plate  with  the  maximum acceptable  fuel  loading.   In  this  channel,  we  would  now  have  less  water  than  in  the  average channel,  receiving  more  heat  than  the  normal  coolant  channel.   For  any  given  values  of  core power  and  flow,  this  hypothetical  channel  would  be  closest  to  a  thermal  limit.   Therefore,  all design considerations are based upon the hot channel factor for each core.  The nuclear heat flux hot channel factor (HFHCF) is the ratio of the maximum heat flux expected at any area to the average heat flux for the core.   The nuclear enthalpy rise hot channel factor is the ratio of the total  kW  heat  generation  along  the  fuel  rod  with  the  highest  total  kW  to  the  total  kW  of  the average fuel rod. Thus the limitation of the peak flux value in a core is directly related to the hot channel factor. However, in discussing flux profiles, "average" values of flux in the core are usually referred to rather than peaks. Average Linear Power Density In  nuclear  reactors,  the  fuel  is  usually  distributed  in  individual  components  which  sometimes resemble rods, tubes, or plates.   It is possible to determine the average power produced per unit length of fuel component by dividing the total thermal output of the core by the total length of all the fuel components in the core.   This quantity is called the  average linear power density. Common units for measuring average linear power density are kW/ft. Example: Calculate  the  average  linear  power  density  for  an  entire  core  if  a  3400  MW  reactor  is operating at full power. Core data is: each fuel rod is 12 ft long 264 rods/fuel assembly 193 fuel assemblies in the core Solution: Average linear power density = total thermal power total fuel rod length Average linear power density = 3.4 x 106 kW 12 (264) (193) = 5.56 kW/ft Rev. 0 Page 47 HT-02

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