On a low Mach nuclear core model

Dellacherie, Stéphane. Denis Poisson, Fédération, and Trélat, E., eds. " On a low Mach nuclear core model ." ESAIM: Proceedings 35 (2012): 79-106. <http://eudml.org/doc/251206>.

@article{Dellacherie2012,
abstract = {We propose to formally derive a low Mach number model adapted to the modeling of a water nuclear core (e.g. of PWR- or BWR-type) in the forced convection regime or in the natural convection regime by filtering out the acoustic waves in the compressible Navier-Stokes system. Then, we propose a monodimensional stationary analytical solution with regular and singular charge loss when the equation of state is a stiffened gas equation. Moreover, we show that this solution may not be admissible from a physical or a mathematical point of view for a particular choice of the mass flux and we study the consistency between this solution and the solution obtained from a Boussinesq approximation. Let us underline that the modeling of the nuclear core is simplified in this paper. For example, the flow is a single-phase flow and we do not model neither the porosity nor the turbulence. Nevertheless, it will be possible to enrich the modeling in the future.},
author = {Dellacherie, Stéphane},
editor = {Denis Poisson, Fédération, Trélat, E.},
journal = {ESAIM: Proceedings},
language = {eng},
month = {4},
pages = {79-106},
publisher = {EDP Sciences},
title = { On a low Mach nuclear core model },
url = {http://eudml.org/doc/251206},
volume = {35},
year = {2012},
}

TY - JOUR
AU - Dellacherie, Stéphane
AU - Denis Poisson, Fédération
AU - Trélat, E.
TI - On a low Mach nuclear core model
JO - ESAIM: Proceedings
DA - 2012/4//
PB - EDP Sciences
VL - 35
SP - 79
EP - 106
AB - We propose to formally derive a low Mach number model adapted to the modeling of a water nuclear core (e.g. of PWR- or BWR-type) in the forced convection regime or in the natural convection regime by filtering out the acoustic waves in the compressible Navier-Stokes system. Then, we propose a monodimensional stationary analytical solution with regular and singular charge loss when the equation of state is a stiffened gas equation. Moreover, we show that this solution may not be admissible from a physical or a mathematical point of view for a particular choice of the mass flux and we study the consistency between this solution and the solution obtained from a Boussinesq approximation. Let us underline that the modeling of the nuclear core is simplified in this paper. For example, the flow is a single-phase flow and we do not model neither the porosity nor the turbulence. Nevertheless, it will be possible to enrich the modeling in the future.
LA - eng
UR - http://eudml.org/doc/251206
ER -