TY  - JOUR
ID  - deOliveira2024
LB  - deOliveira2024
AU  - de Oliveira, Hermenegildo Borges
TI  - Parabolic turbulence k-epsilon model with applications in fluid flows through permeable media
ST  - Parabolic turbulence k-epsilon model with applications in fluid flows through permeable media
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2024
VL  - 44
IS  - 2
SP  - 197
EP  - 240
DO  - https://doi.org/10.7494/OpMath.2024.44.2.197
UR  - https://doi.org/10.7494/OpMath.2024.44.2.197
AB  - In this work, we study a one-equation turbulence \(k\)-epsilon model that governs fluid flows through permeable media. The model problem under consideration here is derived from the incompressible Navier-Stokes equations by the application of a time-averaging operator used in the \(k\)-epsilon modeling and a volume-averaging operator that is characteristic of modeling unsteady porous media flows. For the associated initial- and boundary-value problem, we prove the existence of suitable weak solutions (average velocity field and turbulent kinetic energy) in the space dimensions of physics interest.
KW  - turbulence
KW  - \(k\)-epsilon modelling
KW  - permeable media
KW  - existence
SN  - 1232-9274
ER  -