progress

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