Chi-Tech
Modules
Point Reactor Kinetics
X Code modules

Modules

 prk.GetParam
 
 prk.SetParam
 
 prk.TransientSolver
 

Detailed Description

This module concerns itself with the solution of the Point-Reactor Kinetics equations:

\[ \label{Eq:1} \frac{dn}{dt} = \frac{\beta_{eff} (\rho(t)-1)}{\Lambda_0} n(t) + \sum_{j=0}^{J-1} \lambda_j c_j(t) + s_{ext}(t) \]

\[ \label{Eq:2} \frac{c_j}{dt} = \frac{\beta_j}{\Lambda_0} n(t) - \lambda_j c_j(t) \quad for \ j=0,1,\dots,J-1 \]

where the primary unknowns are the neutron population, $ n $, and each of the delayed-neutron precursors concentrations, $ c_j $. The reactivity, $ \rho $ in units of $, and the external source, $ s_{ext} $, are both variable knowns/inputs, whereas the values $ \lambda_j, \beta_j , \Lambda_0$, are known constants. The decay constants, $ \lambda_j $, are in units of $ [s^{-1}]$ and the delayed neutron fractions, $ \beta_j $, have no units. $ \beta_{eff} $ is the total delayed neutron fraction,

\[ \label{Eq:3} \beta_{eff} = \sum_{j=0}^{J-1} \beta_j \]

and $ \Lambda_0 $ is the neutron generation time.

Consult the whitepaper for this solver at modules/PointReactorKinetics/doc.

Properties that can be set

The following properties can be set via the lua call chi_lua::chiSolverSetProperties

PRK Transient solver settable properties:

Parents:

Base solver settable properties: