diff options
| author | Claudius "keldu" Holeksa <mail@keldu.de> | 2025-11-11 15:17:16 +0100 |
|---|---|---|
| committer | Claudius "keldu" Holeksa <mail@keldu.de> | 2025-11-11 15:17:16 +0100 |
| commit | 5defae18eaa7e7baf47efdf26c537d45691b7fe9 (patch) | |
| tree | 6deda3a4b124c1139ce456c1fb9699aa3df1dc21 /typst | |
| parent | c7cf0a81bdd0121dd48e49e8251ec4b99789e78a (diff) | |
| download | phd-fluid_mechanics_report-5defae18eaa7e7baf47efdf26c537d45691b7fe9.tar.gz | |
progress
Diffstat (limited to 'typst')
| -rw-r--r-- | typst/main.typ | 19 |
1 files changed, 8 insertions, 11 deletions
diff --git a/typst/main.typ b/typst/main.typ index 131a49d..81dd6ae 100644 --- a/typst/main.typ +++ b/typst/main.typ @@ -27,17 +27,14 @@ For the understanding of porous media, where particle transport, bridging and cl reservoirs. Be it either for carbohydrate resource recovery or storage of CO2. Understanding the behaviour of particles in Stokes flow is key to analyzing more complex phenomena emerging over time such as permeability reduction over periods of time. -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 low velocity and high viscous cases the Reynolds number (Re \< \< 1) of our base equation reduces itself to -the Stokes Equations due to the relation $Re=U*v/L$, -which are well understand in terms of the description by Stokes [dummy, I mean the old paper from 1851]. -So starting from the incompressible Navier-Stokes equations we will assume a mostly laminar flow such that the inertial effects -are not considered, but are dominated by the viscous forces. - -Viscous flows are often +The study of Stokes flow has a rich history, beginning with Stokes solution analyzing flow along a sphere.// CITE +Subsequent work analyzed a multitude of shapes and the interaction of multiple particles. +More recently, research was performed in the understanding of creeping flow which are essential in water treatment, carbohydrate recovery +and CO2 storage. // CITE + +This report delves into the central aspects governing the known behaviour past single and multiple spheres. +Explores the effect of it in porous media and examines the more recent particle bridging behaviour found in porous structures. + == Navier |
