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authorClaudius "keldu" Holeksa <mail@keldu.de>2025-11-11 18:03:56 +0100
committerClaudius "keldu" Holeksa <mail@keldu.de>2025-11-11 18:03:56 +0100
commit4e0d07745f44fbfdad709eb72fa8b099254def8d (patch)
tree81b08c9905140922f6edc5aa99626f292b37eda1 /typst
parentd54fdc99d978f93d164b51609f02d52601793893 (diff)
downloadphd-fluid_mechanics_report-4e0d07745f44fbfdad709eb72fa8b099254def8d.tar.gz
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-rw-r--r--typst/main.typ10
1 files changed, 5 insertions, 5 deletions
diff --git a/typst/main.typ b/typst/main.typ
index 10c7663..68e056a 100644
--- a/typst/main.typ
+++ b/typst/main.typ
@@ -27,8 +27,8 @@ 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.
-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.
+The study of the Stokes Flow has a long history, beginning with Stokes' solution flow along a sphere @stokes1851.
+Subsequent work expanded to explore 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
@@ -40,7 +40,7 @@ Explores the effect of it in porous media and examines the more recent particle
== Stokes Flow
// Write about Navier
-The incompressible Navier Stokes equations are a set of equations
+The incompressible Navier Stokes equations are derived from are a set of equations
#math.equation(
block: true,
@@ -49,12 +49,12 @@ $ ρ((∂)/(∂t)u + (u · ∇)u) = −∇p + μ∇²u + f\
)
While we are often interested in Navier-Stokes flows, on higher viscous fluid such as in the earth's mantle the inertial term is negligable.
-Since we can assume the inertial term
+
// Stokes
#math.equation(
block: true,
-$ 0 = −∇p + μ∇²u + f\
+$ μ∇²u − ∇p +f \
∇ · u = 0 $
)