Lecture 5 Flashcards
equation and definition
average distance a neutron travels from birth to absorption
equation and definition
average time between the birth and absorption of a neutron
in terms of A(0) and lamda for N(0) = 0
for an infinite multiplying medium the neutron balance equation is
equation and definition
average time between birth and the birth of a single neturon in the next generation
define Γ
the ratio of the number of neutrons leaking from the system to the number of neutrons absorbed
Γ =
equation and definition
average distance traveled between absorption OR leakage
equation and definition
average lifetime between birth and loss (to absorption or leakage)
for a finite multiplying medium (w/o external source) the neutron balance equation is
for a finite multiplying medium with a constant external source
Prompt inverse period eqn
Delayed neutrons are emitted after ____ decay of ____
beta, fission products
Delayed neutron fraction is ____ isotope dependent
strongly
Delayed neutron fraction is ______ energy dependent
weakly
The total delayed neutron precursoer decay constant is given by
β is
the sum of the delayed fractions for each group
equation and definition
average delayed neutron lifetime
define
the number of radioactive precursors producing neutrons
define
rate of delayed neutron production
Precursors of type i produced per second equation
Neutron balance equation (in terms of k, β, and l) w/ delayed neutrons
Precursor equation (in terms of k, β, and l)
k with delayed neurtons
l with delayed neutrons
Neutron balance eqn in terms of reactivity and generation lifetime
When the reactivity is not large, _____ can be approximated as 1
Λ
The reactor period is determined by setting _____ equal to zero and finding a solution in the form ______ and ______.
source, n(t)=A*exp(ωt), and Ci(t) = Bi exp(ωt)
The inhour equation is
ω is _____ and is typically in units of _____
the inverse reactor period, inverse hours
For positive reactivity, only _____ is positive. The remaining terms rapidly die away, yielding a solution in the form ______
ω1, n(t) = A1et/T
For ρ >0, values of ω are
ω1 > 0 > ω1+i
for ρ < 0, values of ω are
ωi < 0
For small reactivity ρ ≈ _____, T =
βω1/λ, 1/ω1
For prompt critical, ρ ≈ _____, ω1 = ______, T = _____
Imediately following the reactivity change, the precursor concentration will remain essentially unchanged for as long as
λit<<1
draw graph showing t vs power with and without thermal feedback after a prompt jump