progress

1 files changed, 9 insertions, 2 deletions

diff --git a/typst/main.typ b/typst/main.typ
index 9ca5a8c..136dc6c 100644
--- a/typst/main.typ
+++ b/typst/main.typ
@@ -58,15 +58,22 @@ velocity field $u(x,t)$ the Navier-Stokes formulation is primarly defined by the
 
 #math.equation(
 block: true,
-$ ρ((∂)/(∂t)u + (u · ∇)u) = −∇p + μ∇²u + f,\
+$ rho D/(Dt)u = ρ((∂)/(∂t)u + (u · ∇)u) = −∇p + μ∇²u + f,\
 ∇ · u = 0 $
 )
 
+The left side represents the material derivative and thus the inerial acceleration, while the right side contains the pressure gradient,
+viscous diffusion and potential body forces such as gravity.
+
 While we are often interested in Navier-Stokes flows, a generalized analytical solution does not exist,
 most analytical approaches rely on a set of restrictions or assumptions.
-With the Reynolds number defined by
+One key parameter is the Reynolds number, previously mentioned before, defined as:
+
+#math.equation(
+block: true,
 $ "Re" = (rho U L ) / mu
 $
+)
 
 Luckily we decided to work on a fluid which tends $"Re" arrow 0$ or at least $"Re" << 1$ where due to the viscous forces
 the inertial term is negligable and is assumed to be zero.