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authorClaudius "keldu" Holeksa <mail@keldu.de>2025-11-12 09:01:40 +0100
committerClaudius "keldu" Holeksa <mail@keldu.de>2025-11-12 09:01:40 +0100
commit9b77bef1de0030d0f281219cd314d55bd721c387 (patch)
tree7a2cceb54f10c084dc9c0d755c6dd02387a35d7b /typst
parent2dc911de55794419182b3df7c8d3fd19b131ca10 (diff)
downloadphd-fluid_mechanics_report-9b77bef1de0030d0f281219cd314d55bd721c387.tar.gz
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Diffstat (limited to 'typst')
-rw-r--r--typst/main.typ13
1 files changed, 11 insertions, 2 deletions
diff --git a/typst/main.typ b/typst/main.typ
index 51c8147..3d5a282 100644
--- a/typst/main.typ
+++ b/typst/main.typ
@@ -68,6 +68,7 @@ $ μ∇²u + f = ∇p,\
An additional restriction by the creeping flow equations is the selection of boundary criteria where it depends on
an infinite space with a set solid boundary interface.
+For simplicity a no-slip boundary condition is selected for the solid boundary.
#math.equation(
block: true,
@@ -130,8 +131,8 @@ $ F_(L) tilde.eq (6 pi mu r^2 U) / h (1-(h)/(5r) + ...) $
)
These forces diverge the smaller $h$ becomes.
-This resistance becomes crucial to modell bridging behaviour
-
+This is due to the viscous stress increasing on small films of
+fluid which then in turn dominate the interaction.
== Clogging of porous structures
@@ -142,7 +143,15 @@ pore. While bridiging occurs when multiple particles arrive at a passage at the
Aggregation involves the deposition of particles gradually narrowing the channel.
And while sieving and bridging results from purely mechanical forces aggregation results from electrostatic interactions between particles, the fluid and surface boundaries at micrometer scales@laurez2025bridging.
+
+== Discusion
+
The arches resulting from clogging are often inherently unstable, but with the progression of aggregation arrive at less unstable states.
+Which in turn makes a stochastic analysis of particles in different conditions@laurez2025bridging based on different widths feasible.
+
+Laurez@laurez2025bridging goes into detail based on CITE FIG how probable clogging mechanisms are, while these are quite indepth, opportunities
+in relation to multiphase behaviour and
+
// Insert png