Item request has been placed! ×
Item request cannot be made. ×
loading  Processing Request

Stability analysis of the non-linear nuclear reactor

Item request has been placed! ×
Item request cannot be made. ×
loading   Processing Request
اقرأ أكثر حفظ في قائمتي
  • معلومة اضافية
    • Contributors:
      Naval Postgraduate School, Monterey, CA
    • بيانات النشر:
      Taylor & Francis
    • الموضوع:
      1974
    • Collection:
      Naval Postgraduate School: Calhoun
    • نبذة مختصرة :
      The article of record as published may be found at http://dx.doi.org/10.1080/00207177408932659 ; The stability of the nuclear reactor with temperature-dependent feedback is studied in the context of bifurcation theory of non-linear eigenvalue problems. The case of prompt Doppler effect is considered, in which the reactor temperature is proportional to the neutron flux. The multiple solutions of the non-linear boundary-value problem are constructed in the form of a perturbation expansion about the steady-state solution of the associated linear equation. The first and higher-order terms are thereby defined by inhomogeneous linear perturbation problems, which can be solved by a classical eigenfunction expansion method. The conditions for asymptotic stability, neutral stability and instability are considered. The threshold of instability "in the large 1 for a solution known to be stable' in the small' is also examined. ; USDOE
    • File Description:
      application/pdf
    • Relation:
      Journal Name: Int. J. Contr., v. 19, no. 3, pp. 641-652; Other Information: Orig. Receipt Date: 30-JUN-75; OSTI ID: 4236866; Journal ID: IJCOA; https://hdl.handle.net/10945/60961
    • Rights:
      This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
    • الرقم المعرف:
      edsbas.48561F63