From daf1a8918c3520bc69b2c896f8f83c1f311a6e6c Mon Sep 17 00:00:00 2001 From: "Claudius \"keldu\" Holeksa" Date: Wed, 12 Nov 2025 14:40:45 +0100 Subject: progress --- typst/main.typ | 17 +++++++++++++---- typst/prob_bridge.png | Bin 0 -> 852645 bytes 2 files changed, 13 insertions(+), 4 deletions(-) create mode 100644 typst/prob_bridge.png (limited to 'typst') diff --git a/typst/main.typ b/typst/main.typ index eb9f708..4de29dc 100644 --- a/typst/main.typ +++ b/typst/main.typ @@ -174,9 +174,10 @@ fluid which then in turn dominate the interaction. Modifying a poiseulle channel flow by narrowing the channel we can observe mainly three different ways how the porosity is reduced. By sieving, bridging and aggregation of surface deposition. -The least interesting phenomenon is sieving which results purely from a single particle having a too large of a volume to fit into the -pore. While bridiging occurs when multiple particles arrive at a passage at the exact time, forming a stable arch which blocks the flow. -Aggregation involves the deposition of particles gradually narrowing the channel. +The least interesting phenomenon compared to the other two is sieving which results purely from a single particle having +too large of a volume to fit into the +pore. While bridiging occurs when multiple particles arrive at a passage at the exact time, forming a stable arch which blocks the flow. +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 in the fluid and surface boundaries at micrometer scales. In Laurez study@laurez2025bridging this effect is disregarded due to the scale of the problem and accumulation of particles occuring gradually. @@ -185,11 +186,19 @@ image("narrow_channel.png"), caption: [One example geometry from Laurez@laurez2025bridging describing] ) +With the narrow throat diameter $D$ and the pore radius $d_p$ the clogging probability starts to occur spuriously around +$2.43 < D/d_p < 5.26$ +while higher ratios allow for the unobstructed passage of particles, lower ratio begin to form stable arches +and ratios below $D/d_p < 1$ cause immediate sieving. + #figure( image("bridging.png"), caption: [Particles forming an arch visualized by Laurez@laurez2025bridging] ) - +#figure( + image("prob_bridge.png"), + caption: [Probability 𝑃 (𝑠) of clogging after s escape events for (a) 5, (b) 50, (c) 500, (d) 5000 particles in round constriction pore geometry. @laurez2025bridging] +) == Discusion diff --git a/typst/prob_bridge.png b/typst/prob_bridge.png new file mode 100644 index 0000000..ada91ee Binary files /dev/null and b/typst/prob_bridge.png differ -- cgit v1.2.3