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+#import "@preview/charged-ieee:0.1.3": ieee
+
+#show: ieee.with(
+ title: [Stokes flow - Particle interaction in low Reynolds Number environments],
+ abstract: [
+ ],
+ authors: (
+ (
+ name: "Claudius Holeksa",
+ department: [CSSR],
+ organization: [NORCE Research AS],
+ location: [Bergen, Norway],
+ email: "clho@norceresearch.no"
+ ),
+ ),
+ index-terms: ("Scientific writing", "Typesetting", "Document creation", "Syntax"),
+ bibliography: bibliography("refs.bib"),
+ figure-supplement: [Fig.],
+)
+
+= Introduction
+
+For the understanding of near-well injections multiple elements such as multiphase behaviour, particle-solid interaction and
+the geometry of the porous structure is required.
+While at heart most numerical modelling approaches such as the Lattice-Boltzmann-Method are based on the Navier-Stokes Equations,
+here we will take a glance on a more special case.
+Since we are interested in very viscous cases with our Reynolds number (Re \< \< 1) our base equation reduces itself to the Stokes Equations,
+which are well understand in terms of the description by Stokes [dummy, I mean the old paper from 1851].
+So the Navier-Stokes equations
+
+todo insert NS eqs here
+
+are reduced to
+
+todo insert S eqs here
+// Rather move this to the lower chapters and use book citations I guess. Well, maybe also Stokes paper. The initial rant is quite fun
+
+
+== Navier
+
+The Navier Stokes equations are governed as follows
+
+// we don't really need the external force here? do we?
+
+#math.equation(
+block: true,
+$ ρ((∂)/(∂t)u + (u · ∇)u) = −∇p + μ∇²u + f\
+∇ · u = 0 $
+)
+
+// Introduction
+== Stokes flow
+
+While we are often interested in Navier-Stokes flows, on higher viscous fluids the viscosity dominates.
+
+
+== Solid-Fluid interaction with Stokes flow
+
+So while
+
+// References
+== References