By Ziya Akcasu

ISBN-10: 0120471507

ISBN-13: 9780120471508

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R. " Addison-Wesley, Reading, Massachusetts, 1966. 15. A. F. Henry, Computation of parameters appearing in the reactor kinetic equations. WAPD-142. 1955. 16. M. , and K. F. " Academic Press, New York, 1964. 17. R. V. " McGraw-Hill, New York, 1941. 5 C H A P T E R 2 Point Kinetic Equations T h e kinetic equations discussed in t h e previous chapter describe t h e time behavior of t h e n e u t r o n p o p u l a t i o n in too m u c h detail for most of t h e practical uses of reactor d y n a m i c s .

F0(u) in M0 is replaced by f(u) in M. T h e latter is the weighted average of t h e p r o m p t and delayed n e u t r o n energy distributions. 3). 3). , by the material and geometric properties of the m e d i u m ) such that J^0N0 = 0 will have a nontrivial solution is referred to as t h e criticality condition. W e n o w i n t r o d u c e t h e concept of effective multiplication factor by considering a noncritical stationary reactor. Since t h e reactor is not critical, (L + M) iV 0(r, u, Si) = 0 has no other solution b u t t h e trivial j suppose t h a t we modify t h e m e a n n u m b e r one AT0(r, u, SI) == 0.

C. Slowing-Down Diffusion Equation and Fermi Age Model T h e p u r p o s e of this section is to rewrite E q . (3) in t e r m s of t h e slowing-down density q(ry uy t) a n d to develop t h e c o n t i n u o u s slowingd o w n diffusion equations (often called t h e F e r m i age m o d e l ) ; this will be very useful for i n t r o d u c i n g some elementary notions of reactor dynamics in h o m o g e n e o u s bare systems, even t h o u g h it has very limited utility in realistic r e a c t o r - d y n a m i c p r o b l e m s [2, 11].

### Mathematical Methods in Nuclear Reactor Dynamics by Ziya Akcasu

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