diff options
| -rw-r--r-- | typst/main.typ | 12 |
1 files changed, 10 insertions, 2 deletions
diff --git a/typst/main.typ b/typst/main.typ index 6944755..e47c56c 100644 --- a/typst/main.typ +++ b/typst/main.typ @@ -170,9 +170,9 @@ These forces diverge the smaller $h$ becomes. This is due to the viscous stress increasing on small films of fluid which then in turn dominate the interaction. -== Volume Averaged Navier-Stokes(VANS) +== Volume Averaged Navier-Stokes (VANS) -For the suspension of multiple particles Laurez et al suggests the use of a volume averaged Navier-Stokes equation where +For the suspension of multiple particles Laurez et al@MAYA2024 suggests the use of a volume averaged Navier-Stokes equation where the a porostiy field $epsilon$ is introduced and defined as #math.equation( @@ -195,6 +195,14 @@ $ delta (epsilon rho_f) / (delta t) + nabla ( epsilon rho_f v^f) = 0 $ ) +with a fluid momentum balance equation + +#math.equation( +block:true, +$ delta(epsilon rho_f v^f) / (delta t) + nabla (epsilon rho_f v^f v^f ) = - epsilon rho_f g + epsilon nabla\ +(mu_f (nabla v^f + (nabla v^f)^T) - epsilon^2 mu_f ( v^f - v^p) / K). $ +) + == Clogging of porous structures |