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authorClaudius "keldu" Holeksa <mail@keldu.de>2025-11-12 17:31:17 +0100
committerClaudius "keldu" Holeksa <mail@keldu.de>2025-11-12 17:31:17 +0100
commit492f19752752f8a1c889641ea02d5fabedeb7e52 (patch)
treee1bc4e0e5d8089e5429860b58192aa4847e796cd
parenta28bbff7299bb8cac127a98a1b3c1f42f5726ebd (diff)
downloadphd-fluid_mechanics_report-492f19752752f8a1c889641ea02d5fabedeb7e52.tar.gz
progress
-rw-r--r--typst/main.typ5
1 files changed, 4 insertions, 1 deletions
diff --git a/typst/main.typ b/typst/main.typ
index 6c8fc26..5777665 100644
--- a/typst/main.typ
+++ b/typst/main.typ
@@ -253,6 +253,7 @@ of the electrolyte, "e" is the electron charge, $A_"iLj"$ the Hamaker constant o
$R_i$,$R_j$ are the particle radii with $h_"ij" << R_i,R_j$, the equivalent radius $r_"ij" = R_i R_j / (R_i + R_j)$, the dielectric constant
$epsilon_0 epsilon_r$, the surface potential $psi_i$ of the particle, $kappa^(-1) = sqrt((epsilon_0 epsilon_r k_B T ) / (2 dot 10^3 N_A e^2 I_S))$
is the Debye screening length with $I_S$ being the ionic electrolyte strength.
+The surface potential is assumed equal $psi_i = psi_j =: psi$.
#math.equation(
block:true,
@@ -262,6 +263,7 @@ $ F_"ij"^"DLVO"_"pw" = ( - (A_"iLj" R_"i" ( 1+28 (h_"ij" / lambda))) / (6h^2_"ij
$
)
where both form a basis to approach aggregation simulation. @MAYA2024
+While the potential again contains a singularity with zero distance these can be avoided by shoft shell spring collision models on deeper intersection.
== Discussion
@@ -274,7 +276,8 @@ Laurez@laurez2025bridging goes into detail how probable clogging mechanisms are,
in relation to multiphase fluid interaction with the solid structures arise as well since his work focuses on a single phase fluid.
Another interesting question is a variation in the inbound boundary pressure condition as Laurez looks into a constant inbound pressure
while also mentioning that variability is introduced into the structures.
-Similar gaps can be seen in the other clogging mechanisms which might provide additional research targets.
+Similar gaps can be seen in the other clogging mechanisms which might provide additional research targets in the identical variation
+and a comparison with Lattice-Boltzmann-Methods is promising and the forces which are required are accounted for.
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