From 492f19752752f8a1c889641ea02d5fabedeb7e52 Mon Sep 17 00:00:00 2001 From: "Claudius \"keldu\" Holeksa" Date: Wed, 12 Nov 2025 17:31:17 +0100 Subject: progress --- typst/main.typ | 5 ++++- 1 file changed, 4 insertions(+), 1 deletion(-) (limited to 'typst') 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. // Insert png -- cgit v1.2.3